From f1bceb43b3e2b5ef03847626fc08e3b7e7ba3348 Mon Sep 17 00:00:00 2001 From: siwalan <59278902+siwalan@users.noreply.github.com> Date: Mon, 17 Oct 2022 16:52:37 +0800 Subject: [PATCH 1/2] Create auto_build_page.yaml --- .github/workflows/auto_build_page.yaml | 24 ++++++++++++++++++++++++ 1 file changed, 24 insertions(+) create mode 100644 .github/workflows/auto_build_page.yaml diff --git a/.github/workflows/auto_build_page.yaml b/.github/workflows/auto_build_page.yaml new file mode 100644 index 00000000..8a2d1d90 --- /dev/null +++ b/.github/workflows/auto_build_page.yaml @@ -0,0 +1,24 @@ +name: Auto Build Page +run-name: Running Job ${{ github.job }} +on: [push] +jobs: + Explore-GitHub-Actions: + runs-on: ubuntu-latest + steps: + - uses: actions/checkout@v2 + - name: Delete Previous docs + run: | + rm -rf docs && mkdir docs + - name: build docs + run: | + python3 -m pip install sphinx sphinx_rtd_theme && python3 -m sphinx -b html source/ docs + - name: add .nojekyll + run: | + touch docs/.nojekyll + - name: Commit Build + run: | + git add docs/. + git config --global user.name 'Friendly Builder Bot' + git config --global user.email 'builderbot' + git commit -am "Automated Build" + git push From 0930d4b1405cad7248f2fe2c195b31c97fc68a6c Mon Sep 17 00:00:00 2001 From: Friendly Builder Bot Date: Mon, 17 Oct 2022 08:53:11 +0000 Subject: [PATCH 2/2] Automated Build --- docs/.buildinfo | 2 +- docs/.doctrees/developer/build.doctree | Bin 0 -> 89638 bytes docs/.doctrees/developer/contribute.doctree | Bin 0 -> 21216 bytes docs/.doctrees/developer/extend.doctree | Bin 0 -> 11018 bytes docs/.doctrees/developer/issues.doctree | Bin 0 -> 11263 bytes .../developer/license.doctree | Bin 19250 -> 19160 bytes docs/.doctrees/developer/references.doctree | Bin 0 -> 18997 bytes docs/.doctrees/developer/sourceCode.doctree | Bin 0 -> 19265 bytes docs/.doctrees/environment.pickle | Bin 0 -> 293909 bytes docs/.doctrees/index.doctree | Bin 0 -> 15079 bytes 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combination in post-processing. +# Use a Path timeSeries to store the Tn-Sa pairs # ======================================================================== -responseSpectrum(tsTag, direction) +responseSpectrumAnalysis(tsTag, direction) # read the My values [3rd column] for each step # (1 for each mode, they are section forces associated to each modal displacement) @@ -185,7 +212,9 @@ def CQC(mu, lambdas, dmp, scalf): # post process the results doing the CQC modal combination for the My response (3rd column in section forces) MyCQC = CQC(My, eigs, dmp, scalf) -print('\n\nTEST 01:\nRun a Response Spectrum Analysis for each mode.\nDo CQC combination in post processing.\n') +print('\n\nTEST 01:\nRun a Response Spectrum Analysis for all modes.') +print('Do CQC combination in post processing.') +print('Use a Path timeSeries to store Tn-Sa pairs.\n') print('{0: >10}{1: >15}'.format('Mode', 'My')) for i in range(len(eigs)): print('{0: >10}{1: >15f}'.format(i+1, My[i])) @@ -200,14 +229,15 @@ def CQC(mu, lambdas, dmp, scalf): remove('recorder', 0) My = [] for i in range(len(eigs)): - responseSpectrum(tsTag, direction, '-mode', i+1) + responseSpectrumAnalysis(direction, '-Tn', *Tn, '-Sa', *Sa, '-mode', i+1) force = eleResponse(1, 'section', '1', 'force') My.append(force[2]) # post process the results doing the CQC modal combination for the My response (3rd column in section forces) MyCQC = CQC(My, eigs, dmp, scalf) -print('\n\nTEST 01:\nRun a Response Spectrum Analysis mode-by-mode.\nGrab results during the loop.\nDo CQC combination in post processing.\n') +print('\n\nTEST 02:\nRun a Response Spectrum Analysis mode-by-mode.') +print('Grab results during the loop and do CQC combination with them.\n') print('{0: >10}{1: >15}'.format('Mode', 'My')) for i in range(len(eigs)): print('{0: >10}{1: >15f}'.format(i+1, My[i])) diff --git a/docs/_downloads/05d976828e77d17a7bcc021bd080da91/TZQZLiqExample.py b/docs/_downloads/253b345b375cbb60bd74f0cc386c6700/TZQZLiqExample.py similarity 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index 65% rename from docs/_downloads/2325156de9f2d98acfed7d8873a10d82/responseSpectrumExample.tcl rename to docs/_downloads/e7fd5ad8d78254a3e057f2cb33ab6428/responseSpectrumAnalysisExample.tcl index af1a0f05..7008dc34 100644 --- a/docs/_downloads/2325156de9f2d98acfed7d8873a10d82/responseSpectrumExample.tcl +++ b/docs/_downloads/e7fd5ad8d78254a3e057f2cb33ab6428/responseSpectrumAnalysisExample.tcl @@ -4,29 +4,29 @@ wipe model basic -ndm 3 -ndf 6 # the response spectrum function -set timeSeries_list_of_times_1 {0.0 0.06 0.1 0.12 0.18 0.24 0.3 0.36 0.4 0.42 \ - 0.48 0.54 0.6 0.66 0.72 0.78 0.84 0.9 0.96 1.02 \ - 1.08 1.14 1.2 1.26 1.32 1.38 1.44 1.5 1.56 1.62 \ - 1.68 1.74 1.8 1.86 1.92 1.98 2.04 2.1 2.16 2.22 \ - 2.28 2.34 2.4 2.46 2.52 2.58 2.64 2.7 2.76 2.82 \ - 2.88 2.94 3.0 3.06 3.12 3.18 3.24 3.3 3.36 3.42 \ - 3.48 3.54 3.6 3.66 3.72 3.78 3.84 3.9 3.96 4.02 \ - 4.08 4.14 4.2 4.26 4.32 4.38 4.44 4.5 4.56 4.62 \ - 4.68 4.74 4.8 4.86 4.92 4.98 5.04 5.1 5.16 5.22 \ - 5.28 5.34 5.4 5.46 5.52 5.58 5.64 5.7 5.76 5.82 \ - 5.88 5.94 6.0} -set timeSeries_list_of_values_1 {0.2 0.38 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.4762 \ - 0.4167 0.3704 0.3333 0.303 0.2778 0.2564 0.2381 0.2222 0.2083 0.1961 \ - 0.1852 0.1754 0.1667 0.1587 0.1515 0.1449 0.1389 0.1333 0.1282 0.1235 \ - 0.119 0.1149 0.1111 0.1075 0.1042 0.101 0.098 0.0952 0.0926 0.0901 \ - 0.0877 0.0855 0.0833 0.0813 0.0794 0.0775 0.0758 0.0741 0.0725 0.0709 \ - 0.0694 0.068 0.0667 0.0641 0.0616 0.0593 0.0572 0.0551 0.0531 0.0513 \ - 0.0495 0.0479 0.0463 0.0448 0.0434 0.042 0.0407 0.0394 0.0383 0.0371 \ - 0.036 0.035 0.034 0.0331 0.0322 0.0313 0.0304 0.0296 0.0289 0.0281 \ - 0.0274 0.0267 0.026 0.0254 0.0248 0.0242 0.0236 0.0231 0.0225 0.022 \ - 0.0215 0.021 0.0206 0.0201 0.0197 0.0193 0.0189 0.0185 0.0181 0.0177 \ - 0.0174 0.017 0.0167} -timeSeries Path 1 -time $timeSeries_list_of_times_1 -values $timeSeries_list_of_values_1 -factor 9.806 +set Tn {0.0 0.06 0.1 0.12 0.18 0.24 0.3 0.36 0.4 0.42 \ + 0.48 0.54 0.6 0.66 0.72 0.78 0.84 0.9 0.96 1.02 \ + 1.08 1.14 1.2 1.26 1.32 1.38 1.44 1.5 1.56 1.62 \ + 1.68 1.74 1.8 1.86 1.92 1.98 2.04 2.1 2.16 2.22 \ + 2.28 2.34 2.4 2.46 2.52 2.58 2.64 2.7 2.76 2.82 \ + 2.88 2.94 3.0 3.06 3.12 3.18 3.24 3.3 3.36 3.42 \ + 3.48 3.54 3.6 3.66 3.72 3.78 3.84 3.9 3.96 4.02 \ + 4.08 4.14 4.2 4.26 4.32 4.38 4.44 4.5 4.56 4.62 \ + 4.68 4.74 4.8 4.86 4.92 4.98 5.04 5.1 5.16 5.22 \ + 5.28 5.34 5.4 5.46 5.52 5.58 5.64 5.7 5.76 5.82 \ + 5.88 5.94 6.0} +set Sa {1.9612 3.72628 4.903 4.903 4.903 4.903 4.903 4.903 4.903 4.6696172 \ + 4.0861602 3.6321424 3.2683398 2.971218 2.7241068 2.5142584 2.3348086 2.1788932 2.0425898 1.9229566 \ + 1.8160712 1.7199724 1.6346602 1.5562122 1.485609 1.4208894 1.3620534 1.3071398 1.2571292 1.211041 \ + 1.166914 1.1267094 1.0894466 1.054145 1.0217852 0.990406 0.960988 0.9335312 0.9080356 0.8835206 \ + 0.8599862 0.838413 0.8168398 0.7972278 0.7785964 0.759965 0.7432948 0.7266246 0.710935 0.6952454 \ + 0.6805364 0.666808 0.6540602 0.6285646 0.6040496 0.5814958 0.5609032 0.5403106 0.5206986 0.5030478 \ + 0.485397 0.4697074 0.4540178 0.4393088 0.4255804 0.411852 0.3991042 0.3863564 0.3755698 0.3638026 \ + 0.353016 0.34321 0.333404 0.3245786 0.3157532 0.3069278 0.2981024 0.2902576 0.2833934 0.2755486 \ + 0.2686844 0.2618202 0.254956 0.2490724 0.2431888 0.2373052 0.2314216 0.2265186 0.220635 0.215732 \ + 0.210829 0.205926 0.2020036 0.1971006 0.1931782 0.1892558 0.1853334 0.181411 0.1774886 0.1735662 \ + 0.1706244 0.166702 0.1637602} +timeSeries Path 1 -time $Tn -values $Sa # a uniaxial material for transverse shear uniaxialMaterial Elastic 2 938000000.0 @@ -161,12 +161,46 @@ proc CQC {mu lambdas dmp scalf} { return [expr sqrt($u)] } +# ======================================================================== +# TEST 00 +# run a response spectrum analysis for each mode. +# then do modal combination in post-processing. +# Use Tn and Sa lists +# ======================================================================== +responseSpectrumAnalysis $direction -Tn $Tn -Sa $Sa + +# read the My values [3rd column] for each step +# (1 for each mode, they are section forces associated to each modal displacement) +set My {} +set f [open $filename "r"] +set lines [split [read $f] "\n"] +foreach line $lines { + if {[llength $line] > 0} { + set tokens [split $line " "] + lappend My [lindex $tokens 2] + } +} +close $f + +# post process the results doing the CQC modal combination for the My response (3rd column in section forces) +set MyCQC [CQC $My $eigs $dmp $scalf] + +puts "\n\nTEST 00:\nRun a Response Spectrum Analysis for all modes." +puts "Do CQC combination in post processing." +puts "Use Tn and Sa lists.\n" +puts [format "%10s %15s" "Mode" "My"] +for {set i 0} {$i < [llength $eigs]} {incr i} { + puts [format "%10g %15f" [expr $i+1] [lindex $My $i]] +} +puts [format "%10s %15f" "CQC" $MyCQC] + # ======================================================================== # TEST 01 # run a response spectrum analysis for each mode. # then do modal combination in post-processing. +# Use a Path timeSeries to store the Tn-Sa pairs # ======================================================================== -responseSpectrum $tsTag $direction +responseSpectrumAnalysis $tsTag $direction # read the My values [3rd column] for each step # (1 for each mode, they are section forces associated to each modal displacement) @@ -184,7 +218,9 @@ close $f # post process the results doing the CQC modal combination for the My response (3rd column in section forces) set MyCQC [CQC $My $eigs $dmp $scalf] -puts "\n\nTEST 01:\nRun a Response Spectrum Analysis for each mode.\nDo CQC combination in post processing.\n" +puts "\n\nTEST 01:\nRun a Response Spectrum Analysis for all modes." +puts "Do CQC combination in post processing." +puts "Use a Path timeSeries to store Tn-Sa pairs.\n" puts [format "%10s %15s" "Mode" "My"] for {set i 0} {$i < [llength $eigs]} {incr i} { puts [format "%10g %15f" [expr $i+1] [lindex $My $i]] @@ -200,14 +236,15 @@ 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- - - -
- - -
-

2.3. Ubuntu

-
-

2.3.1. Software Requirements

+

2.3. Ubuntu

+
+

2.3.1. Software Requirements

  1. Needed Applications and Libraries: For Ubuntu, the user must have a number of packages installed on their system. These can be installed following commands issued in a terminal window.

    sudo apt-get update
     sudo apt install -y cmake
     sudo apt install -y gcc
     sudo apt install -y gfortran
    -sudo apt install -y python3-pip
     sudo apt install -y liblapack-dev
    +sudo apt install -y python3-pip
     sudo apt install -y libopenmpi-dev
     sudo apt install -y libmkl-rt
     sudo apt install -y libmkl-blacs-openmpi-lp64
     sudo apt install -y libscalapack-openmpi-dev
    -git clone https://github.com/OpenSees/mumps.git
    +git clone https://github.com/scivision/mumps.git
     cd mumps
     mkdir build
     cd build
     cmake .. -Darith=d
     cmake --build . --config Release --parallel 4
    -cd ../..
    -pip3 install conan
    +cd ..
     
  2. -
-
-

Warning

-

Read the output from the last command. When building OpenSees below you will use the conan executable just installed. If located in a different location to the path used below, you will get an error. Change the command below to path where conan was just installed.

+
  • Install conan In a new terminal window type

    +
    pip3 install conan
    +
    +.. warning::
    +
    +Read the output from the last command. When installing conan, the path to conan may not be added to your PATH environ variable. You will need to add it to your PATH variable, or modify the **conan install ** command below to include full path to the **conan** exe.
    +
    +
  • +
    -
    -

    2.3.2. Obtaining the Source Code

    -

    You need to obtain the OpenSees source code from github. To obtain the source code, from a terminal cd to the directory you want to place OpenSees and then type the following:

    +
    +

    2.3.2. Obtaining the Source Code & Other setup

    +

    You need to obtain both OpenSees and install MUMPS +To obtain the source code, from a terminal cd to the directory you want to place OpenSees and then type the following:

    git clone https://github.com/OpenSees/OpenSees.git
     
    @@ -481,29 +423,41 @@

    2.3.2. Obtaining the Source Code

    -
    -

    2.3.3. Building the OpenSees Applications

    -

    With everything installed the build process is somehwat simple! Again from a terminal window enter the following commands:

    +
    +

    2.3.3. Building the OpenSees Tcl Interpreter

    +

    With everything installed the build process is somehwat simple! Again from a terminal window:

    cd OpenSees
     mkdir build
     cd build
    -/home/ubuntu/.local/bin/conan install .. --build missing
    -cmake .. -DMUMPS_DIR=$PWD/../../mumps/build -DOPENMPI=TRUE -DSCALAPACK_LIBRARIES="/usr/lib/x86_64-linux-gnu/libmkl_blacs_openmpi_lp64.so;/usr/lib/x86_64-linux-gnu/libscalapack-openmpi.so.2.1"
    +conan install .. --build missing
    +cmake .. -DMUMPS_DIR=$PWD/../../mumps/build -DOPENMPI=TRUE -DSCALAPACK_LIBRARIES="/usr/lib/x86_64-linux-gnu/libmkl_blacs_openmpi_lp64.so;/usr/lib/x86_64-linux-gnu/libscalapack-openmpi.so.2.1" -DMUMPS_DIR="..\..\mumps\build
     cmake --build . --config Release --target OpenSees --parallel 4
    -cmake --build . --config Release --target OpenSeesPy
    -cmake --build . --config Release --target OpenSeesMP
    -cmake --build . --config Release --target OpenSeesSP
    -mv ./OpenSeesPy.so ./opensees.so
     

    Note

      -
    1. If you have more than 4 cores available, you can use the extra cores by changing the 4 value!

    2. +
    3. You only have to issue the first nine commands once. The tenth command is only needed if you change a CMakeFile.txt. Typically if you are just editing code you only need to type the last commands.

    4. +
    5. If you have more than 4 cores available, you can use the exra cores by changing the 4 value!

    +
    +
    +

    2.3.4. Building the OpenSeesPy Library

    +

    With everything installed the build process is somewhat simple! Again from a terminal window:

    +
    +
    cd OpenSees
    +mkdir build
    +cd build
    +conan install .. --build missing
    +cmake ..
    +cmake --build . --config Release --target OpenSeesPy
    +mv ./lib/OpenSeesPy.so ./lib/opensees.so
    +
    +
    +

    Warning

    This last copy is needed as the OpenSeesPy.dylib module at present actually needs to load from a file named opensees.so (go figure). Also to import this module now in your code you can do one of 2 things:

    @@ -518,7 +472,7 @@

    2.3.3. Building the OpenSees Application

    You may of course want to give the existing file a new name with the mv command.

  • If you have not installed openseespy or you want to load the .so you built instead of the installed one you can add the path to opensees.so to your PYTHONPATH env variables with export PYTHONPATH=$PWD or PYTHONPATH=$PWD:$PYTHONPATH depending on if PYTHONPATH exists when you type env in the terminal. NOTE: Using $PWD assumes you are in the directory containg the lib file.

  • -
  • Finally please note you will get a segmentation fault if you run with a different python exe than the one you build with. Look in output of cmake .. for the python library used.

  • +
  • Finally plase note you will get a segmentation fault if you run with a different python exe than the one you build for. Look in output of cmake .. for the python library used.

  • @@ -527,59 +481,41 @@

    2.3.3. Building the OpenSees Application -

    -

    - © Copyright 2020, The Regents of the University of California. - -

    +

    © Copyright 2022, The Regents of the University of California.

    - - - - Built with Sphinx using a - + + Built with Sphinx using a theme - - provided by Read the Docs. + provided by Read the Docs. +
    -

    - - - - - - - - + - - - + gtag('config', 'UA-2431545-1', { + 'anonymize_ip': false, + }); + - - - - - \ No newline at end of file diff --git a/docs/user/examples/thermalExamples.html b/docs/user/examples/thermalExamples.html index 70879398..46a751e4 100644 --- a/docs/user/examples/thermalExamples.html +++ b/docs/user/examples/thermalExamples.html @@ -1,79 +1,38 @@ - - - - + - 4.2. Thermal Examples — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - + + + - - - - - - + + - - - +
    - -
    - - -
    - - - - - - - + + window.dataLayer = window.dataLayer || []; + function gtag(){dataLayer.push(arguments);} + gtag('js', new Date()); - - + gtag('config', 'UA-2431545-1', { + 'anonymize_ip': false, + }); + - - - - - \ No newline at end of file diff --git a/docs/user/manual/analysis/BandGeneral.html b/docs/user/manual/analysis/BandGeneral.html deleted file mode 100644 index 8632aae3..00000000 --- a/docs/user/manual/analysis/BandGeneral.html +++ /dev/null @@ -1,329 +0,0 @@ - - - - - - - - - - 3.2.3.1. BandGeneral System — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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    3.2.3.1. BandGeneral System

    -

    This command is used to construct a BandGeneral linear system of equation object. As the name implies, this class is used for matrix systems which have a banded profile. The matrix is stored as shown below in a 1dimensional array of size equal to the bandwidth times the number of unknowns. When a solution is required, the Lapack routines DGBSV and SGBTRS are used. The following command is used to construct such a system:

    -
    -
    -system BandGeneral
    -
    - -

    An n×n matrix A=(ai,j) is a band matrix if all matrix elements are zero outside a diagonally bordered band whose range is determined by constants k1 and k2:

    -

    \(a_{i,j}=0 \quad\mbox{if}\quad j<i-k_1 \quad\mbox{ or }\quad j>i+k_2; \quad k_1, k_2 \ge 0.\ \) -The quantities k1 and k2 are the left and right half-bandwidth, respectively. The bandwidth of the matrix is \(k1 + k2 + 1\) and only the entries in the band are stored; the rest being implicitly zero.

    -

    For example, 6-by-6 a matrix with bandwidth 3:

    -
    -\[\begin{split}\begin{bmatrix} -B_{11} & B_{12} & 0 & \cdots & \cdots & 0 \\ -B_{21} & B_{22} & B_{23} & \ddots & \ddots & \vdots \\ - 0 & B_{32} & B_{33} & B_{34} & \ddots & \vdots \\ - \vdots & \ddots & B_{43} & B_{44} & B_{45} & 0 \\ - \vdots & \ddots & \ddots & B_{54} & B_{55} & B_{56} \\ - 0 & \cdots & \cdots & 0 & B_{65} & B_{66} - \end{bmatrix}\end{split}\]
    -

    is stored as the 6-by-3 matrix

    -
    -\[\begin{split}\begin{bmatrix} -0 & B_{11} & B_{12}\\ -B_{21} & B_{22} & B_{23} \\ -B_{32} & B_{33} & B_{34} \\ -B_{43} & B_{44} & B_{45} \\ -B_{54} & B_{55} & B_{56} \\ -B_{65} & B_{66} & 0 -\end{bmatrix}\end{split}\]
    -
    -

    Example

    -

    The following example shows how to construct a ProfileSPD system

    -
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    1. Tcl Code

    2. -
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    system BandGeneral
    -
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    1. Python Code

    2. -
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    system('BandGeneral')
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    Code Developed by: fmk

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    - © Copyright 2020, The Regents of the University of California. - -

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    3.2.3.2. BandSPD System

    -

    This command is used to construct a BandSPD linear system of equation object. As the name implies, this class is used for symmetric positive definite matrix systems which have a banded profile. The matrix is stored as shown below in a 1 dimensional array of size equal to the (bandwidth/2) times the number of unknowns. When a solution is required, the Lapack routines DPBSV and DPBTRS are used. The following command is used to construct such a system:

    -
    -
    -system BandSPD
    -
    - -

    An n×n matrix is a symmetric positive definite banded matrix if:

    -
      -
    1. \(A_{i,j}=0 \quad\mbox{if}\quad j<i-k \quad\mbox{ or }\quad j>i+k; \quad k \ge 0.\)

    2. -
    3. \(A_{i,j} = A_{j,i}\)

    4. -
    5. \(y^T A y != 0\) for all non-zero vectors y with real entries (\(y \in \mathbb{R}^n\)),

    6. -
    -

    The bandwidth of the matrix is k + k + 1.

    -

    For example, a symmetric 6-by-6 matrix with a right bandwidth of 2:

    -
    -\[\begin{split}\begin{bmatrix} -A_{11} & A_{12} & A_{13} & 0 & \cdots & 0 \\ -& A_{22} & A_{23} & A_{24} & \ddots & \vdots \\ -& & A_{33} & A_{34} & A_{35} & 0 \\ -& & & A_{44} & A_{45} & A_{46} \\ -& sym & & & A_{55} & A_{56} \\ -& & & & & A_{66} -\end{bmatrix}\end{split}\]
    -

    is stored as follows:

    -
    -\[\begin{split}\begin{bmatrix} -A_{11} & A_{12} & A_{13} \\ -A_{22} & A_{23} & A_{24} \\ -A_{33} & A_{34} & A_{35} \\ -A_{44} & A_{45} & A_{46} \\ -A_{55} & A_{56} & 0 \\ -A_{66} & 0 & 0 -\end{bmatrix}\end{split}\]
    -
    -

    Example

    -

    The following example shows how to construct a BandSPD system

    -
      -
    1. Tcl Code

    2. -
    -
    system BandSPD
    -
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    1. Python Code

    2. -
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    system('BandSPD')
    -
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    Code developed by: fmk

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    - © Copyright 2020, The Regents of the University of California. - -

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    3.2.6.2. DisplacementControl Command

    -

    This command is used to construct a DisplacementControl integrator object. In an analysis step with Displacement Control we seek to determine the time step that will result in a displacement increment for a particular degree-of-freedom at a node to be a prescribed value.

    -
    -
    -integrator DisplacementControl $node $dof $incr <$numIter :math`\Delta U \text{min}` $:math:\Delta U \text{max}`>
    -

    $node, integer, node whose response controls solution -$dof, integer, degree of freedom at the node, valid options: 1 through ndf at node. -$incr, float, first displacement increment <math>Delta U_{text{dof}}</math> -$numIter, integer, the number of iterations the user would like to occur in the solution algorithm. Optional, default = 1.0. -$:math:Delta U text{min}, float, the min step size the user will allow. optional: default :math`= Delta U_{min} = Delta U_0` -$<math>Delta U text{max}</math>, float, the max step size the user will allow. optional: default \(= \Delta U_{max} = \Delta U_0\)

    -
    - -

    integrator DisplacementControl 1 2 0.1; # displacement control algorithm seeking constant increment of 0.1 at node 1 at 2’nd dof.

    -
    -

    3.2.6.2.1. THEORY

    -

    If we write the governing finite element equation at :math:`t + Delta t` as:

    -
    -\[R(U_{t+\Delta t}, \lambda_{t+\Delta t}) = \lambda_{t+\Delta t} F^{ext} - F(U_{t+\Delta t}) \!`\]
    -

    where \(F(U_{t+\Delta t})\!\) are the internal forces which are a function of the displacements \(U_{t+\Delta t}\!\), \(F^{ext}\!\) is the set of reference loads and \(\lambda\!\) is the load multiplier. Linearizing the equation results in:

    -
    -\[K_{t+\Delta t}^{*i} \Delta U_{t+\Delta t}^{i+1} = \left ( \lambda^i_{t+\Delta t} + \Delta \lambda^i \right ) F^{ext} - F(U_{t+\Delta t})\]
    -

    This equation represents n equations in <math> n+1</math> unknowns, and so an additional equation is needed to solve the equation. For displacement control, we introduce a new constraint equation in which in each analysis step we set to ensure that the displacement increment for the degree-of-freedom <math>text{dof}</math> at the specified node is:

    -
    -\[\Delta U_\text{dof} = \text{incr}\!</math>\]
    -

    MORE TO COME:

    -

    In Displacement Control the <math>Delta_Utext{dof}</math> set to <math>t + lambda_{t+1}</math> where,

    -

    <math> Delta U_text{dof}^{t+1} = max left ( Delta U_{min}, min left ( Delta U_text{max}, frac{text{numIter}}{text{lastNumIter}} Delta U_text{dof}^{t} right ) right ) </math>

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    - © Copyright 2020, The Regents of the University of California. - -

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    3.2.3.6. FullGeneral System

    -

    This command is used to construct a Full General linear system of equation object. As the name implies, the class utilizes NO space saving techniques to cut down on the amount of memory used. If the matrix is of size, nxn, then storage for an nxn array is sought from memory when the program runs. When a solution is required, the Lapack routines DGESV and DGETRS are used. The following command is used to construct such a system:

    -
    -
    -system FullGeneral
    -
    - -
    -

    Warning

    -
      -
    1. This type of system should almost never be used in production! This is because it requires a lot more memory than every other solver and takes more time in the actual solving operation than any other solver.

    2. -
    3. It is required if the user is interested in looking at the global system matrix, using the printA command

    4. -
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    -

    Example

    -

    The following example shows how to construct a FullGeneral system

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    2. -
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    system FullGeneral
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    2. -
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    system('FullGeneral')
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    Code Developed by: fmk

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    - © Copyright 2020, The Regents of the University of California. - -

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    Linear Algorithm

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    This command is used to construct a Linear algorithm object which takes one iteration to solve the system of equations.

    -
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    -algorithm Linear <-initial> <-factorOnce>
    -
    - - ----- - - - - - - - - - - - - - - - - -

    Argument

    Type

    Description

    -initial

    string

    optional flag to indicate to use initial stiffness

    -factorOnce

    string

    optional flag to indicate to only set up and factor matrix once

    -
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    Note

    -

    As the tangent matrix typically will not change during the analysis in case of an elastic system it is highly advantageous to use the -factorOnce option. Do not use this option if you have a nonlinear system and you want the tangent used to be actual tangent at time of the analysis step.

    -

    The Linear algorithm REQUIRES NO test Command and will complain if one is provided. This means that convergence is not checked.

    -

    Certain transient explicit integration schemes require a Linear algorithm.

    -
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    Example:

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    The following examples demonstrate the command to create a Linear solution algorithm.

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    Code Developed by: fmk

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    - © Copyright 2020, The Regents of the University of California. - -

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    This command is used to construct a LoadControl integrator object.

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    -integrator LoadControl $lambda <$numIter $minLambda $maxLambda>
    -
    - - ----- - - - - - - - - - - - - - - - - - - - - - - - - -

    Argument

    Type

    Description

    $lambda

    float

    the load factor increment \(\lambda\)

    $numIter

    integer

    the number of iterations the user would like to occur in the solution algorithm. Optional: optional default = 1

    $minLambda

    float

    the min stepsize the user will allow. optional: defualt \(= \lambda_{min} = \lambda\)

    $maxLambda

    float

    the max stepsize the user will allow. optional: default \(= \lambda_{max} = \lambda\)

    -
    -

    Note

    -

    The change in applied loads that this causes depends on the active load patterns (those load patterns not set constant) and the loads in the load patterns. If the only active loads acting on the domain are in load patterns with a Linear time series with a factor of 1.0, this integrator is the same as the classical load control method.

    -

    The optional arguments are supplied to speed up the step size in cases where convergence is too fast and slow down the step size in cases where convergence is too slow.

    -
    -
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    3.2.6.1.1. Theory

    -

    In Load Control the time in the domain is set to \(t + \lambda_{t+1}\) where,

    -
    -
    -\[\lambda_{t+1} = \max \left ( \lambda_{min}, \min \left ( \lambda_{max}, \frac{\text{numIter}}{\text{lastNumIter}} \lambda_{t} \right ) \right )\]
    -
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    where lastNumIter is number of steps required to achieve convergence in the previous step. Changing the step size based on number of iterations in previous step, allows user to reduce the step size when the analysis struggles to converge.

    -
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    Example

    -

    The following example shows how to construct a Load Control Integrator with a step size of 0.1, which in a static analysis would increment the pseudo time by the 0.1 factor at each analysis step, thus requiring 10 analysis steps if the full load is considered to be applied when the pseudo domain time is 1.0.

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    Code Developed by: fmk

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    Warning

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    It is presently limited to the parallel OpenSeesSP and OpenSeesMP applications.

    -
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    Example

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    The following example shows how to construct a sparse system solved using the Mumps solver.

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    -

    This command is used to construct a Newmark integrator object.

    -
    -
    -integrator Newmark $gamma $beta
    -
    - - ----- - - - - - - - - - - - - - - - - -

    Argument

    Type

    Description

    $gamma

    float

    \(\gamma\) factor

    $beta

    float

    \(\beta\) factor

    -
    -

    Note

    -
      -
    1. If the accelerations are chosen as the unknowns and \(\beta\) is chosen as 0, the formulation results in the fast but conditionally stable explicit Central Difference method. Otherwise the method is implicit and requires an iterative solution process.

    2. -
    3. Two common sets of choices are:

      -

      Average Acceleration Method (\(\gamma=\frac{1}{2}, \beta = \frac{1}{4}\))

      -

      Linear Acceleration Method (\(\gamma=\frac{1}{2}, \beta = \frac{1}{6}\))

      -
    4. -
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    6. -
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    8. -
    9. The method is conditionally stable for \(\beta >= \frac{\gamma}{2} >= \frac{1}{4}\)

    10. -
    -
    -
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    3.2.6.3.1. Theory

    -

    The Newmark method is a one step implicit method for solving the transient problem, represented by the residual for the momentum equation:

    -
    -\[R_{t + \Delta t} = F_{t+\Delta t}^{ext} - M \ddot U_{t + \Delta t} - C \dot U_{t + \Delta t} + F(U_{t + \Delta t})^{int}\]
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    Using the Taylor series approximation of \(U_{t+\Delta t}\) and \(\dot U_{t+\Delta t}\):

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    Newton truncated these using the following:

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    in which he assumed linear acceleration within a time step, i.e.,

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    which results in the following expressions:

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    The variables \(\beta\) and \(\gamma\) are numerical parameters that control both the stability of the method and the amount of numerical damping introduced into the system by the method. For \(\gamma=\frac{1}{2}\) there is no numerical damping; for \(\gamma>=\frac{1}{2}\) numerical damping is introduced. Two well known and commonly used cases are:

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    The linearization of the Newmark equations gives:

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    which gives the update formula when displacement increment is used as unknown in the linearized system as:

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    -\[ \begin{align}\begin{aligned}U_{t+\Delta t}^{i+1} = U_{t+\Delta t}^i + dU_{t+\Delta t}^{i+1}\\\dot U_{t+\Delta t}^{i+1} = \dot U_{t+\Delta t}^i + \frac{\gamma}{\beta \Delta t}dU_{t+\Delta t}^{i+1}\\\ddot U_{t+\Delta t}^{i+1} = \ddot U_{t+\Delta t}^i + \frac{1}{\beta \Delta t^2}dU_{t+\Delta t}^{i+1}\end{aligned}\end{align} \]
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    The linearization of the momentum equation using the displacements as the unknowns leads to the following linear equation:

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    where,

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    and,

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    Newmark, N.M. “A Method of Computation for Structural Dynamics” ASCE Journal of Engineering Mechanics Division, Vol 85. No EM3, 1959.

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    The Newton method used in finite element analysis is identical to that taught in basic calculus courses. It is just extended for the n unknown degrees-of-freedom. The method as taught in basic calculus, is a root-finding algorithm that uses the first few terms of the Taylor series of a function \(f(x)\,\!\) in the vicinity of a suspected root \(x_n\,\!\) to find the root \(x_{n+1}\,\!\). Newton’s method is sometimes also known as Newton’s iteration, although in this work the latter term is reserved to the application of Newton’s method for computing square roots.

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    \(f(x_n+\Delta x) \approx f(x_n)+r^'(x_n)\Delta x = f(x_n)+ \frac{df(x_n)}{dx}\Delta x\) -and since at the root we wish to find \(x_n + \Delta x\), the function equates to 0, i.e. \(f(x_n+\Delta x) = 0\), we can solve for an approximate \(\Delta x\)

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    :math:` Delta x approx -frac{f(x_n)}{f^’(x_n)} = - frac{df(x_n)}{dx}^{-1}f(x_n)` -The Newmark method is thus an iterative method in which, starting at a good initial guess \(x_0\,\!\) we keep iterating until our convergence criteria is met with the following:

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    :math:` Delta x = - frac{df(x_n)}{dx}^{-1}f(x_n),!` -:math:` x_{n+1} = x_n + Delta x,!`

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    The method is generalized to n unknowns by replacing the above scalar equations with matrix ones.

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    resulting in our iterative procedure where starting from a good initial guess we iterate until our convergence criteria is met with the following:

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    3.2.3.3. ProfileSPD System

    -

    This command is used to construct a ProfileSPD linear system of equation object. As the name implies, this class is used for symmetric positive definite matrix systems. The matrix is stored as shown below in a 1 dimensional array with only those values below the first non-zero row in any column being stored. This is sometimes also referred to as a skyline storage scheme. The following command is used to construct such a system:

    -
    -
    -system ProfileSPD
    -
    - -

    An n×n matrix A= is a symmetric positive definite matrix if:

    -
      -
    1. \(a_{i,j} = a_{j,i}\)

    2. -
    3. \(y^T A y != 0\) for all non-zero vectors y with real entries (\(y \in \mathbb{R}^n\)).

    4. -
    -

    In the skyline or profile storage scheme only the entries below the first no-zero row entry in any column are stored if storing by rows: The reason for this is that as no reordering of the rows is required in gaussian eleimination because the matrix is SPD, no non-zero entries will ocur in the elimination process outside the area stored.

    -

    For example, a symmetric 6-by-6 matrix with a structure as shown below:

    -
    -\[\begin{split}\begin{bmatrix} -A_{11} & A_{12} & 0 & 0 & 0 \\ -& A_{22} & A_{23} & 0 & A_{25} \\ -& & A_{33} & 0 & 0 \\ -& & & A_{44} & A_{45} \\ -& sym & & & A_{55} -\end{bmatrix}\end{split}\]
    -

    The matrix is stored as 1-d array

    -
    -\[\begin{bmatrix} -A_{11} & A_{12} & A_{22} & A_{23} & A_{33} & A_{44} & A_{25} & 0 & A_{45} & A_{55} -\end{bmatrix}\]
    -

    with a further array containing indices of diagonal elements:

    -
    -\[\begin{bmatrix} -1 & 3 & 5 & 6 & 10 -\end{bmatrix}\]
    -
    -

    Example

    -

    The following example shows how to construct a ProfileSPD system

    -
      -
    1. Tcl Code

    2. -
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    system ProfileSPD
    -
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    1. Python Code

    2. -
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    system('ProfileSPD')
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    Code Developed by: fmk

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    - © Copyright 2020, The Regents of the University of California. - -

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    3.2.2.2. Reverse Cuthill McKee Numberer

    -

    This command is used to construct an RCM degree-of-freedom numbering object to provide the mapping between the degrees-of-freedom at the nodes and the equation numbers. An RCM numberer uses the reverse Cuthill-McKee scheme to order the matrix equations. The command to construct an RCM numberer is a follows:

    -
    -
    -numberer RCM
    -
    - -
    -

    Note

    -

    For very small problems and for the sparse matrix solvers which provide their own numbering scheme, order is not really important so plain numberer is just fine. For large models and analysis using solver types other than the sparse solvers, the order will have a major impact on performance of the solver and the plain handler is a poor choice.

    -
    -
    -

    Example

    -

    The following example shows how to construct a reverse Cuthill-McKee numberer.

    -
      -
    1. Tcl Code

    2. -
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    numberer RCM
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    1. Python Code

    2. -
    -
    numberer('RCM')
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    REFERNCES
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    1. Cuthill and J. McKee. Reducing the bandwidth of sparse symmetric matrices In Proc. 24th Nat. Conf. ACM, pages 157–172, 1969.

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      2. George and J. W-H. Liu, Computer Solution of Large Sparse Positive Definite Systems, Prentice-Hall, 1981

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    3.2.4.4. Relative Norm Unbalance

    -

    This command is used to construct a convergence test which uses the norms of the right hand side of the matrix equation, i.e. \(b\) vector in \(Ax=b\), to determine if convergence has been reached. It uses the ratio of the current norm to the first norm, i.e. :math:`frac{sqrt({b_i}^T{b_i})}{sqrt({b_1}^T{b_1})}. What the right-hand-side of the matrix equation is depends on integrator and constraint handler chosen. Usually, though not always, it is equal to the unbalanced forces in the system. The command to create a RelativeNormUnbalance test is the following:

    -
    -
    -test RelativeNormUnbalance $tol $iter <$pFlag> <$nType>
    -
    - - ----- - - - - - - - - - - - - - - - - - - - - - - - - -

    Argument

    Type

    Description

    $tol

    float

    the tolerance criteria used to check for convergence

    $iter

    integer

    the max number of iterations to check before returning failure condition

    $pFlag

    integer

    -
    -
    print flag (optional: default is 0) valid options:
    -
    0 print nothing
    -
    1 print information on norms each time test() is invoked
    -
    2 print information on norms and number of iterations at end of successful test
    -
    4 at each step it will print the norms and also the <math>Delta U</math> and <math>R(U)</math> vectors.
    -
    5 if it fails to converge at end of $numIter it will print an error message BUT RETURN A SUCCESSFUL test.
    -
    -
    -

    $nType

    integer

    type of norm (optional: default is 2 (0 = max-norm 1 = 1-norm 2 = 2-norm …))

    -
    -

    Note

    -

    The convergence test compares the current norm of the unbalance with the norm of the first step to determine if convergence has been achieved. As a consequence it will always take at least two steps to achieve convergence.

    -

    If numerically the solution has a very small unbalance at the first step, this may mean that the test may never indicate success even though the solution had indeed converged to a solution. This is because machine precision and numerical round-off limit how small the unbalance can become.

    -
    -
    -

    Example:

    -

    The following examples demonstrate the command to create a RelativeNormUnbalance test which allows 10 iterations till failure with a 2-norm in the \(b\) vector, i.e. \(\sqrt(b^T b)\) of 1.0e-2.

    -
      -
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    2. -
    -
    test RelativeNormUnbalance 1.0e-2  10 2
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    1. Python Code

    2. -
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    test('RelativeNormUnbalance', 1.0e-2, 10, 2)
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    Code Developed by: fmk

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    - © Copyright 2020, The Regents of the University of California. - -

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    3.2.3.7. SparseSYM Solver

    -

    This command is used to construct a sparse symmetric system of equations which uses a row-oriented solution method in the solution phase. The following command is used to construct such a system:

    -
    -
    -system SparseSYM
    -
    - -
    -

    Note

    -

    Versions of OpenSees up to and including 2.2.0 used SparseSPD instead of SparseSYM as the option to create this system. The code is more general than the SPD moniker implies, working for negative definite as well as positive definite. For backward compatibility this old option continues to work.

    -
    -
    -

    Example

    -

    The following example shows how to construct a SparseSYM system:

    -
      -
    1. Tcl Code

    2. -
    -
    system SparseSYM
    -
    -
    -
      -
    1. Python Code

    2. -
    -
    system('SparseSYM')
    -
    -
    -
    -

    Code developed by: J. Peng

    -
    -
    REFERENCES
    -
    -
    -

    Kincho H. Law and David R. McKay, “A Parallel Row-Oriented Sparse Solution Method for Finite Element Structural Analysis,” International Journal for Numerical Methods in Engineering, 36:2895-2919, 1993.

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    - © Copyright 2020, The Regents of the University of California. - -

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    - - - - Built with Sphinx using a - - theme - - provided by Read the Docs. - -
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    3.2.3.4. SuperLU System

    -

    This command is used to construct a SparseGEN linear system of equation object. As the name implies, this class is used for sparse matrix systems. The solution of the sparse matrix is carried out using .. SuperLU. To following command is used to construct such a system:

    -
    -
    -system SuperLU
    -
    - -
    -

    Note

    -
      -
    1. When using the SuperLU system, the software will renumber the equations to ensure a fast solve. As a consequence it is a waste of time specifying anything but a Plain numberer.

    2. -
    3. The original and still working command was system SparseGEN

    4. -
    -
    -
    -

    Example

    -

    The following example shows how to construct a SuperLU system

    -
      -
    1. Tcl Code

    2. -
    -
    system SuperLU
    -
    -
    -
      -
    1. Python Code

    2. -
    -
    system('SuperLU')
    -
    -
    -
    -

    Code developed by: fmk

    -
    -
    REFERENCES
    -

    James W. Demmel and Stanley C. Eisenstat and John R. Gilbert and Xiaoye S. Li and Joseph W. H. Liu, “A supernodal approach to sparse partial pivoting”, SIAM J. Matrix Analysis and Applications, 20(3), 720-755, 1999.

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    3.2.1.3. Transformation Method

    -

    This command is used to construct a PenaltyMethod constraint handler, which enforces the constraints by using the penalty method. The following is the command to construct such a constraint handler:

    -
    -
    -constraints Transformation
    -
    - -
    -

    Note

    -

    The single-point constraints when using the transformation method are done directly. The matrix equation is not manipulated to enforce them, rather the trial displacements are set directly at the nodes at the start of each analysis step.

    -
    -
    -
    Great care must be taken when multiple constraints are being enforced as the transformation method does not follow constraints:
      -
    1. If a node is fixed, constrain it with the fix command and not equalDOF or other type of constraint.

    2. -
    3. If multiple nodes are constrained, make sure that the retained node is not constrained in any other constraint.

    4. -
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    Example

    -

    The following example shows how to construct a Lagrange constraint handler

    -
      -
    1. Tcl Code

    2. -
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    numberer Transformation
    -
    -
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      -
    1. Python Code

    2. -
    -
    numberer('Transformation')
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    Code Developed by: fmk

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    - © Copyright 2020, The Regents of the University of California. - -

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    3.2.3.5. Umfpack System

    -

    This command is used to construct a sparse system of equations which uses the UmfPack solver. The following command is used to construct such a system:

    -
    -
    -system Umfpack <-lvalueFact $LVALUE>
    -
    - -

    (LVALUE*the number of nonzero entries) is the amount of additional memory set aside for fill in during the matrix solution, by default the LVALUE factor is 10. You only need to experiment with this if you get error messages back about LVALUE being too small.

    -
    -

    Example

    -

    The following example shows how to construct a SuperLU system

    -
      -
    1. Tcl Code

    2. -
    -
    system Umfpack
    -
    -
    -
      -
    1. Python Code

    2. -
    -
    system('Umfpack')
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    Code developed by: fmk

    -
    -
    REFERNCES
    -
      -
    1. A column pre-ordering strategy for the unsymmetric-pattern multifrontal method, T. A. Davis, ACM Transactions on Mathematical Software, vol 30, no. 2, June 2004, pp. 165-195.

    2. -
    3. Algorithm 832: UMFPACK, an unsymmetric-pattern multifrontal method, T. A. Davis, ACM Transactions on Mathematical Software, vol 30, no. 2, June 2004, pp. 196-199.

    4. -
    5. A combined unifrontal/multifrontal method for unsymmetric sparse matrices, T. A. Davis and I. S. Duff, ACM Transactions on Mathematical Software, vol. 25, no. 1, pp. 1-19, March 1999.

    6. -
    7. An unsymmetric-pattern multifrontal method for sparse LU factorization, T. A. Davis and I. S. Duff, SIAM Journal on Matrix Analysis and Applications, vol 18, no. 1, pp. 140-158, Jan. 1997.

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    -

    - © Copyright 2020, The Regents of the University of California. - -

    +

    © Copyright 2022, The Regents of the University of California.

    - - - - Built with Sphinx using a - + + Built with Sphinx using a theme - - provided by Read the Docs. + provided by Read the Docs. +
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    - - - - - - - - + + window.dataLayer = window.dataLayer || []; + function gtag(){dataLayer.push(arguments);} + gtag('js', new Date()); - - + gtag('config', 'UA-2431545-1', { + 'anonymize_ip': false, + }); + + + + + + \ No newline at end of file diff --git a/docs/user/manual/analysis/algorithm/Broyden.html b/docs/user/manual/analysis/algorithm/Broyden.html new file mode 100644 index 00000000..7edba7c0 --- /dev/null +++ b/docs/user/manual/analysis/algorithm/Broyden.html @@ -0,0 +1,194 @@ + + + + + + + 3.2.5.8. Broyden Algorithm — OpenSees Documentation documentation + + + + + + + + + + + + + + + + + + + +
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    3.2.5.8. Broyden Algorithm

    +
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    +algorithm Broyden <$count>
    +
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    Argument

    Type

    Description

    $count

    integer

    number of iterations within a time step until a new tangent is formed

    +

    This command is used to construct a Broyden algorithm object for general unsymmetric systems which performs successive rank-one updates of the tangent at the first iteration of the current time step.

    +
    + + +
    +
    +
    + +
    + +
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    © Copyright 2022, The Regents of the University of California.

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    + + Built with Sphinx using a + theme + provided by Read the Docs. + + +
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    + + + + + + + + + + + \ No newline at end of file diff --git a/docs/user/manual/analysis/algorithm/KrylovNewton.html b/docs/user/manual/analysis/algorithm/KrylovNewton.html new file mode 100644 index 00000000..3a4116ad --- /dev/null +++ b/docs/user/manual/analysis/algorithm/KrylovNewton.html @@ -0,0 +1,207 @@ + + + + + + + 3.2.5.5. Krylov-Newton Algorithm — OpenSees Documentation documentation + + + + + + + + + + + + + + + + + + + +
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    3.2.5.5. Krylov-Newton Algorithm

    +
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    +algorithm KrylovNewton <-iterate $tangIter> <-increment $tangIncr> <-maxDim $maxDim>
    +
    + + +++++ + + + + + + + + + + + + + + + + + + + + +

    Argument

    Type

    Description

    $tangIter

    string

    tangent to iterate on, options are current, initial, noTangent. default is current.

    $tangIncr

    string

    tangent to increment on, options are current, initial, noTangent. default is current

    $maxDim

    float

    max number of iterations until the tangent is reformed and acceleration restarts (default = 3) of iterations within a time step until a new tangent is formed

    +

    This command is used to construct a KrylovNewton algorithm object which uses a modified Newton method with Krylov subspace acceleration to advance to the next time step.

    +
    +

    Note

    +

    References: +* Scott, M.H. and G.L. Fenves. “A Krylov Subspace Accelerated Newton Algorithm: Application to Dynamic Progressive Collapse Simulation of Frames.” Journal of Structural Engineering, 136(5), May 2010. DOI

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    © Copyright 2022, The Regents of the University of California.

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    - -
    - - -
    + + + + + + + + + + + \ No newline at end of file diff --git a/docs/user/manual/analysis/integrator/LoadControl.html b/docs/user/manual/analysis/integrator/LoadControl.html index 856d87db..32c859b0 100644 --- a/docs/user/manual/analysis/integrator/LoadControl.html +++ b/docs/user/manual/analysis/integrator/LoadControl.html @@ -1,80 +1,39 @@ - - - - + - 3.2.6.1. LoadControl Command — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - + + + - - + - - - - + - - - +
    - -
    - - -
    + + + + + + + + + + + \ No newline at end of file diff --git a/docs/user/manual/material/uniaxialMaterials/Concrete/Concrete02.html b/docs/user/manual/material/uniaxialMaterials/Concrete/Concrete02.html new file mode 100644 index 00000000..13d3dbcf --- /dev/null +++ b/docs/user/manual/material/uniaxialMaterials/Concrete/Concrete02.html @@ -0,0 +1,253 @@ + + + + + + + 3.4.1.13. Concrete02 Material – Linear Tension Softening — OpenSees Documentation documentation + + + + + + + + + + + + + + + + + + + +
    + + +
    + +
    +
    +
    + +
    +
    +
    +
    + +
    +

    3.4.1.13. Concrete02 Material – Linear Tension Softening

    +

    This command is used to construct a uniaxial concrete material as described in [Yassin1994] +.. function:: uniaxialMaterial Concrete02 $matTag $fpc $epsc0 $fpcu $epsU $lambda $ft $Ets

    + +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

    Argument

    Type

    Description

    $matTag

    integer

    integer tag identifying material.

    $fpc

    float

    concrete compressive strength at 28 days (compression is negative)* .

    $epsc0

    float

    concrete strain at maximum strength* .

    $fpcu

    float

    concrete crushing strength*.

    $epsU

    float

    concrete strain at crushing strength*.

    $lambda

    float

    ratio between unloading slope at $epscu and initial slope.

    $ft

    float

    tensile strength.

    $ets

    float

    tension softening stiffness (absolute value) (slope of the linear tension softening branch)

    +
    +

    Note

    +
      +
    • Compressive concrete parameters should be input as negative values (if input as positive, they will be converted to negative internally).

    • +
    • The initial slope for this model is (2*$fpc/$epsc0)

    • +
    +
    +

    Typical Hysteretic Stress-Strain Relation for material

    +
    +../../../../../_images/Concrete02.jpg +
    +

    Comparison with Concrete01

    +
    +../../../../../_images/Concrete02Hysteretic.jpg +
    +

    Code Developed by: Filip Filippou, UC Berkeley +Images Developed by Silvia Mazzoni

    +
    +
    +[Yassin1994] +

    Mohd Hisham Mohd Yassin, “Nonlinear Analysis of Prestressed Concrete Structures under Monotonic and Cycling Loads”, PhD dissertation, University of California, Berkeley, 1994.

    +
    +
    +
    + + +
    +
    +
    + +
    + +
    +

    © Copyright 2022, The Regents of the University of California.

    +
    + + Built with Sphinx using a + theme + provided by Read the Docs. + + +
    +
    +
    +
    +
    + + + + + + + + + + + \ No newline at end of file diff --git a/docs/user/manual/material/uniaxialMaterials/Concrete/Concrete04.html b/docs/user/manual/material/uniaxialMaterials/Concrete/Concrete04.html new file mode 100644 index 00000000..c9f3d63e --- /dev/null +++ b/docs/user/manual/material/uniaxialMaterials/Concrete/Concrete04.html @@ -0,0 +1,261 @@ + + + + + + + 3.4.1.14. Concrete04 Material – Popovics Concrete Material — OpenSees Documentation documentation + + + + + + + + + + + + + + + + + + + + +
    + + +
    + +
    +
    +
    + +
    +
    +
    +
    + +
    +

    3.4.1.14. Concrete04 Material – Popovics Concrete Material

    +

    This command is used to construct a uniaxial Popovics concrete material object with degraded linear unloading/reloading stiffness according to the work of Karsan-Jirsa and tensile strength with exponential decay. +.. function:: uniaxialMaterial Concrete04 $matTag $fc $ec $ecu $Ec <$fct $et> <$beta>

    + +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

    Argument

    Type

    Description

    $matTag

    integer

    integer tag identifying material.

    $fc

    float

    concrete compressive strength at 28 days (compression is negative)*.

    $ec

    float

    concrete strain at maximum strength*.

    $ecu

    float

    concrete crushing strength*.

    $Ec

    float

    initial stifness**.

    $fct

    float

    maximum tensile strength of concrete.

    $et

    float

    ultimate tensile strain of concrete.

    $beta

    float

    exponential curve parameter to define the residual stress (as a factor of $ft) at $etu.

    +
    +

    Note

    +
      +
    • Compressive concrete parameters should be input as negative values (if input as positive, they will be converted to negative internally).

    • +
    • The envelope of the compressive stress-strain response is defined using the model proposed by [Popovic1973]. If the user defines \(E_c = 57000 \sqrt(f_{cc})\) (in psi unit) then the envelope curve is identical to proposed by [Mander1988].

    • +
    • Model Characteristic: For loading in compression, the envelope to the stress-strain curve follows the model proposed by Popovics (1973) until the concrete crushing strength is achieved and also for strains beyond that corresponding to the crushing strength. For unloading and reloading in compression, the [Karsan1969] is used to determine the slope of the curve. For tensile loading, an exponential curve is used to define the envelope to the stress-strain curve. For unloading and reloading in tensile, the secant stiffness is used to define the path.

    • +
    +
    +
    +../../../../../_images/Concrete04A.png +
    +
    +../../../../../_images/Concrete04B.png +
    +

    Code Developed by: Laura Lowes, University of Washington and Michael Berry, University of Washington +Images Developed by Silvia Mazzoni

    +
    +
    +[Mander1988] +

    Mander, J. B., Priestley, M. J. N., and Park, R. (1988). “Theoretical stress-strain model for confined concrete.” Journal of Structural Engineering ASCE, 114(8), 1804-1825.

    +
    +
    +[Popovic1973] +

    Popovics, S. (1973). “ A numerical approach to the complete stress strain curve for concrete.” Cement and concrete research, 3(5), 583-599.

    +
    +
    +[Karsan1969] +

    Karsan, I. D., and Jirsa, J. O. (1969). “Behavior of concrete under compressive loading.” Journal of Structural Division ASCE, 95(ST12).

    +
    +
    +
    + + +
    +
    +
    + +
    + +
    +

    © Copyright 2022, The Regents of the University of California.

    +
    + + Built with Sphinx using a + theme + provided by Read the Docs. + + +
    +
    +
    +
    +
    + + + + + + + + + + + \ No newline at end of file diff --git a/docs/user/manual/material/uniaxialMaterials/Concrete01.html b/docs/user/manual/material/uniaxialMaterials/Concrete01.html deleted file mode 100644 index c337d544..00000000 --- a/docs/user/manual/material/uniaxialMaterials/Concrete01.html +++ /dev/null @@ -1,342 +0,0 @@ - - - - - - - - - - - 3.4.1.5. Concrete01 Material – Zero Tensile Strength — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    - - - -
    - - - - - -
    - -
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    - - - - -
    -
    -
    -
    - -
    -

    3.4.1.5. Concrete01 Material – Zero Tensile Strength

    -

    This command is used to construct a uniaxial Kent-Scott-Park concrete material object with degraded linear unloading/reloading stiffness according to the work of Karsan-Jirsa and no tensile strength. (REF: Fedeas).

    -
    -
    -uniaxialMaterial Concrete01  $matTag $fpc $epsc0 $fpcu $epsu
    -
    - - ----- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    Argument

    Type

    Description

    $matTag

    integer

    integer tag identifying material.

    $fpc

    float

    concrete compressive strength at 28 days (compression is negative)* .

    $epsc0

    float

    concrete strain at maximum strength* .

    $fpcu

    float

    concrete crushing strength*.

    $epsU

    float

    concrete strain at crushing strength*.

    -
    -

    Note

    -
      -
    • Compressive concrete parameters should be input as negative values (if input as positive, they will be converted to negative internally).

    • -
    • The initial slope for this model is (2*$fpc/$epsc0)

    • -
    -
    -

    Typical Hysteretic Stress-Strain Relation for material

    -
    -../../../../_images/Concrete01.gif -
    -

    Code Developed by: Filip Filippou, UC Berkeley -Images Developed by Silvia Mazzoni

    -
    - - -
    - -
    -
    - -
    - -
    -

    - © Copyright 2020, The Regents of the University of California. - -

    -
    - - - - Built with Sphinx using a - - theme - - provided by Read the Docs. - -
    -
    -
    - -
    - -
    - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/docs/user/manual/material/uniaxialMaterials/Concrete02.html b/docs/user/manual/material/uniaxialMaterials/Concrete02.html deleted file mode 100644 index 445d814e..00000000 --- a/docs/user/manual/material/uniaxialMaterials/Concrete02.html +++ /dev/null @@ -1,359 +0,0 @@ - - - - - - - - - - - 3.4.1.6. Concrete02 Material – Linear Tension Softening — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    - - - -
    - - - - - -
    - -
    - - - - - - - - - - - - - - - - - - - -
    - - - - -
    -
    -
    -
    - -
    -

    3.4.1.6. Concrete02 Material – Linear Tension Softening

    -

    This command is used to construct a uniaxial concrete material as described in [Yassin1994] -.. function:: uniaxialMaterial Concrete02 $matTag $fpc $epsc0 $fpcu $epsU $lambda $ft $Ets

    - ----- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    Argument

    Type

    Description

    $matTag

    integer

    integer tag identifying material.

    $fpc

    float

    concrete compressive strength at 28 days (compression is negative)* .

    $epsc0

    float

    concrete strain at maximum strength* .

    $fpcu

    float

    concrete crushing strength*.

    $epsU

    float

    concrete strain at crushing strength*.

    $lambda

    float

    ratio between unloading slope at $epscu and initial slope.

    $ft

    float

    tensile strength.

    $ets

    float

    tension softening stiffness (absolute value) (slope of the linear tension softening branch)

    -
    -

    Note

    -
      -
    • Compressive concrete parameters should be input as negative values (if input as positive, they will be converted to negative internally).

    • -
    • The initial slope for this model is (2*$fpc/$epsc0)

    • -
    -
    -

    Typical Hysteretic Stress-Strain Relation for material

    -
    -../../../../_images/Concrete02.jpg -
    -

    Comparison with Concrete01

    -
    -../../../../_images/Concrete02Hysteretic.jpg -
    -

    Code Developed by: Filip Filippou, UC Berkeley -Images Developed by Silvia Mazzoni

    -
    -
    Yassin1994
    -

    Mohd Hisham Mohd Yassin, “Nonlinear Analysis of Prestressed Concrete Structures under Monotonic and Cycling Loads”, PhD dissertation, University of California, Berkeley, 1994.

    -
    -
    -
    - - -
    - -
    -
    - -
    - -
    -

    - © Copyright 2020, The Regents of the University of California. - -

    -
    - - - - Built with Sphinx using a - - theme - - provided by Read the Docs. - -
    -
    -
    - -
    - -
    - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/docs/user/manual/material/uniaxialMaterials/Concrete04.html b/docs/user/manual/material/uniaxialMaterials/Concrete04.html deleted file mode 100644 index 268d7851..00000000 --- a/docs/user/manual/material/uniaxialMaterials/Concrete04.html +++ /dev/null @@ -1,365 +0,0 @@ - - - - - - - - - - - 3.4.1.7. Concrete04 Material – Popovics Concrete Material — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    - - - -
    - - - - - -
    - -
    - - - - - - - - - - - - - - - - - - - -
    - - - - -
    -
    -
    -
    - -
    -

    3.4.1.7. Concrete04 Material – Popovics Concrete Material

    -

    This command is used to construct a uniaxial Popovics concrete material object with degraded linear unloading/reloading stiffness according to the work of Karsan-Jirsa and tensile strength with exponential decay. -.. function:: uniaxialMaterial Concrete04 $matTag $fc $ec $ecu $Ec <$fct $et> <$beta>

    - ----- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    Argument

    Type

    Description

    $matTag

    integer

    integer tag identifying material.

    $fc

    float

    concrete compressive strength at 28 days (compression is negative)*.

    $ec

    float

    concrete strain at maximum strength*.

    $ecu

    float

    concrete crushing strength*.

    $Ec

    float

    initial stifness**.

    $fct

    float

    maximum tensile strength of concrete.

    $et

    float

    ultimate tensile strain of concrete.

    $beta

    float

    exponential curve parameter to define the residual stress (as a factor of $ft) at $etu.

    -
    -

    Note

    -
      -
    • Compressive concrete parameters should be input as negative values (if input as positive, they will be converted to negative internally).

    • -
    • The envelope of the compressive stress-strain response is defined using the model proposed by [Popovic1973]. If the user defines \(E_c = 57000 \sqrt(f_{cc})\) (in psi unit) then the envelope curve is identical to proposed by [Mander1988].

    • -
    • Model Characteristic: For loading in compression, the envelope to the stress-strain curve follows the model proposed by Popovics (1973) until the concrete crushing strength is achieved and also for strains beyond that corresponding to the crushing strength. For unloading and reloading in compression, the [Karsan1969] is used to determine the slope of the curve. For tensile loading, an exponential curve is used to define the envelope to the stress-strain curve. For unloading and reloading in tensile, the secant stiffness is used to define the path.

    • -
    -
    -
    -user/manual/material/uniaxialMaterials/figures/Concrete04a.jpg -
    -
    -../../../../_images/Concrete0B.png -
    -

    Code Developed by: Laura Lowes, University of Washington and Michael Berry, University of Washington -Images Developed by Silvia Mazzoni

    -
    -
    Mander1988
    -

    Mander, J. B., Priestley, M. J. N., and Park, R. (1988). “Theoretical stress-strain model for confined concrete.” Journal of Structural Engineering ASCE, 114(8), 1804-1825.

    -
    -
    Popovic1973
    -

    Popovics, S. (1973). ” A numerical approach to the complete stress strain curve for concrete.” Cement and concrete research, 3(5), 583-599.

    -
    -
    Karsan1969
    -

    Karsan, I. D., and Jirsa, J. O. (1969). “Behavior of concrete under compressive loading.” Journal of Structural Division ASCE, 95(ST12).

    -
    -
    -
    - - -
    - -
    -
    - -
    - -
    -

    - © Copyright 2020, The Regents of the University of California. - -

    -
    - - - - Built with Sphinx using a - - theme - - provided by Read the Docs. - -
    -
    -
    - -
    - -
    - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/docs/user/manual/material/uniaxialMaterials/HystereticPoly.html b/docs/user/manual/material/uniaxialMaterials/HystereticPoly.html deleted file mode 100644 index 436abfdd..00000000 --- a/docs/user/manual/material/uniaxialMaterials/HystereticPoly.html +++ /dev/null @@ -1,384 +0,0 @@ - - - - - - - - - - - 3.4.1.11. HystereticPoly Material — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    - - - -
    - - - - - -
    - -
    - - - - - - - - - - - - - - - - - - - -
    - - - - -
    -
    -
    -
    - -
    -

    3.4.1.11. HystereticPoly Material

    -

    This command is used to construct the uniaxial HystereticPoly material producing smooth hysteretic loops and local maxima/minima. It is based on a polynomial formulation of its tangent stiffness.

    -
    -
    -uniaxialMaterial HystereticPoly $matTag $ka $kb $alpha $beta1 $beta2 <$delta>
    -
    - - ----- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    Argument

    Type

    Description

    $matTag

    integer

    integer tag identifying material.

    $ka

    float

    Tangent stiffness of the initial “elastic” part of the loop.

    $kb

    float

    Tangent stiffness of the asymptotic part of the loop.

    $alpha

    float

    Parameter governing the amplitude of the loop.

    $beta1

    float

    Parameter governing the shape of the asymptotic region of the loop.

    $beta2

    float

    Parameter governing the shape of the asymptotic region of the loop.

    $delta

    float

    Asymptotic tolerance (optional. Default 1.0e-20).

    -
    -

    Note

    -

    Determination of constitutive parameters is quite intuitive and is reported below, although, their identification can be performed by the strategy formulated in [SessaEtAl2020] implemented in the freeware available here.

    -
    -

    The equations describing HystereticPoly behavior are described in [VaianaEtAl2019]. Only minor changes have been made in its implementation for OpenSees.

    -

    The model may reproduce either force-displacement or stress-strain relationships. It is formulated by means of two asymptotic lines (blue) linked by transition curves (red):

    -
    -../../../../_images/HystereticPoly01.gif -
    -

    Parameter $alpha governs the transition between such curves so that:

    -

    \(u_0=\frac{1}{2}\left[\left(\frac{k_a-k_b}{\delta}\right)^{1/\alpha}-1\right]\)

    -

    \(\bar{f}=\frac{k_a-k_b}{2}\left[\frac{\left(1+2u_0\right)^{1-\alpha}-1}{1-\alpha}\right]\)

    -

    Where \(\bar{f}\) is the value at which the asymptotic line crosses the vertical axis and \(2u_0\) is the generalized displacement for which the transition curve reaches the asymptotic line.

    -

    In general, $alpha= \(\alpha\) influences the amplitude of the loop:

    -
    -../../../../_images/HystereticPoly02.gif -
    -

    while parameters $beta1 and $beta2 modify the shape of the loop:

    -
    -../../../../_images/HystereticPoly03.gif -
    -
    -

    Example

    -

    The following constructs a HystereticPoly material with tag 1, parameters corresponding to line (d) of the table above and tolerance $delta = \(10^{-20}\).

    -
      -
    1. Tcl Code

    2. -
    -
    uniaxialMaterial HystereticPoly 1  100.0 10.0 20.0 -10.0 10.0 1.0e-20
    -
    -
    -
      -
    1. Python Code

    2. -
    -
    uniaxialMaterial('HystereticPoly', 1, 100.0, 10.0, 20.0, -10.0, 10.0, 1.0e-20)
    -
    -
    -
    -

    Code Developed by: Salvatore Sessa, University of Naples Federico II, Italy

    -
    -
    VaianaEtAl2019
    -

    Vaiana, N., Sessa, S., Marmo, F. and Rosati, L. (2019). “An accurate and computationally efficient uniaxial phenomenological model for steel and fiber reinforced elastomeric bearings.” Composite Structures, 211: 196-212. DOI: https://doi.org/10.1016/j.compstruct.2018.12.017

    -
    -
    SessaEtAl2020
    -

    Sessa, S., Vaiana, N., Paradiso, M. and Rosati, L. (2020). “An inverse identification strategy for the mechanical parameters of a phenomenological hysteretic constitutive model.”, Mechanical Systems and Signal Processing, 139: 106622. DOI: https://doi.org/10.1016/j.ymssp.2020.106622

    -
    -
    -
    - - -
    - -
    -
    - -
    - -
    -

    - © Copyright 2020, The Regents of the University of California. - -

    -
    - - - - Built with Sphinx using a - - theme - - provided by Read the Docs. - -
    -
    -
    - -
    - -
    - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/docs/user/manual/material/uniaxialMaterials/IMKBilin.html b/docs/user/manual/material/uniaxialMaterials/IMKBilin.html deleted file mode 100644 index 445732eb..00000000 --- a/docs/user/manual/material/uniaxialMaterials/IMKBilin.html +++ /dev/null @@ -1,440 +0,0 @@ - - - - - - - - - - - 3.4.1.8. IMKBilin Material — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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    - -
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    3.4.1.8. IMKBilin Material

    -

    This command is used to construct a material with a hysteretic bilinear response based on the modified Ibarra-Medina-Krawinkler deterioration model.

    -
    -
    -uniaxialMaterial IMKBilin $matTag $Ke $Up_pos $Upc_pos $Uu_pos $Fy_pos $FmaxFy_pos $FresFy_pos $Up_neg $Upc_neg $Uu_neg $Fy_neg $FmaxFy_neg $FresFy_neg $Lamda_S $Lamda_C $Lamda_K $c_S $c_C $c_K $D_pos $D_neg
    -
    - - ----- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    Argument

    Type

    Description

    $matTag

    integer

    integer tag identifying material

    $Ke

    float

    Elastic stiffness

    $dp_pos

    float

    Pre-capping deformation in positive loading direction

    $dpc_pos

    float

    Post-capping deformation in positive loading direction

    $du_pos

    float

    Ultimate deformation in positive loading direction

    $Fy_pos

    float

    Yield strength in positive loading direction

    $FmaxFy_pos

    float

    Maximum-to-yield strength ratio in positive loading direction

    $FresFy_pos

    float

    Residual-to-yield strength ratio in positive loading direction

    $dp_neg

    float

    Pre-capping deformation in negative loading direction

    $dpc_neg

    float

    Post-capping deformation in negative loading direction

    $du_neg

    float

    Ultimate deformation in negative loading direction

    $Fy_neg

    float

    Yield strength in negative loading direction

    $FmaxFy_neg

    float

    Maximum-to-yield strength ratio in negative loading direction

    $FresFy_neg

    float

    Residual-to-yield strength ratio in negative loading direction

    $Lamda_S

    float

    Cyclic deterioration parameter for yield strength deterioration

    $Lamda_C

    float

    Cyclic deterioration parameter for post-capping stiffness deterioration

    $Lamda_K

    float

    Cyclic deterioration parameter for unloading stiffness deterioration

    $c_S

    float

    Rate of yield strength deterioration

    $c_C

    float

    Rate of post-capping stiffness deterioration

    $c_K

    float

    Rate of unloading stiffness deterioration

    $D_pos

    float

    rate of cyclic deterioration in the positive loading direction. This parameter is used to create asymmetric hysteretic behavior as in the case of a composite beam (0< D_pos <1). For symmetric hysteretic response use 1.0.

    $D_neg

    float

    rate of cyclic deterioration in the negative loading direction. This parameter is used to create asymmetric hysteretic behavior as in the case of a composite beam (0< D_pos <1). For symmetric hysteretic response use 1.0.

    -
    -

    Note

    -

    All material model parameters (in both the positive and negative direction) shall be specified as positive values.

    -
    -
    -
    IbarraEtAl2005
    -

    Ibarra, L. F., Medina, R. A., and Krawinkler, H. (2005). “Hysteretic models that incorporate strength and stiffness deterioration.” Earthquake Engineering & Structural Dynamics, 34(12), 1489-1511, Doi: 10.1002/eqe.495.

    -
    -
    -
    -

    IMKBilin backbone curve

    -
    -
    -../../../../_images/IMKBilin.jpg -
    -

    Fig. 3.4.1.9 IMKBilin sample response

    -
    -
    -
    -user/manual/material/uniaxialMaterials/figures/IMKBilin-sampleresponse.jpg -
    -
    -

    Example

    -

    The following is used to construct a IMKBilin material with symmetric hysteretic response.

    -
      -
    1. Tcl Code

    2. -
    -
    set Ke            100000.0;
    -set My            100.0;
    -set Mc_My   1.15;
    -set Mres_My 0.1;
    -set thetap  0.010;
    -set thetau  0.2;
    -set thetapc 0.1;
    -set lambdaS 1;
    -set lambdaC 1;
    -set lambdaK 1;
    -
    -uniaxialMaterial IMKBilin 1 $Ke $thetap $thetapc $thetau $My $Mc_My $Mres_My $thetap $thetapc $thetau $My $Mc_My $Mres_My $lambdaS $lambdaC $lambdaK 1 1 1 1 1;
    -
    -
    -
    -

    Code Developed by: |aelkady|

    -
    - - -
    - -
    -
    - -
    - -
    -

    - © Copyright 2020, The Regents of the University of California. - -

    -
    - - - - Built with Sphinx using a - - theme - - provided by Read the Docs. - -
    -
    -
    - -
    - -
    - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/docs/user/manual/material/uniaxialMaterials/IMKPeakOriented.html b/docs/user/manual/material/uniaxialMaterials/IMKPeakOriented.html deleted file mode 100644 index de216156..00000000 --- a/docs/user/manual/material/uniaxialMaterials/IMKPeakOriented.html +++ /dev/null @@ -1,449 +0,0 @@ - - - - - - - - - - - 3.4.1.9. IMKPeakOriented Material — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    - - - -
    - - - - - -
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    - - - - - - - - - - - - - - - - - - - -
    - - - - -
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    -

    3.4.1.9. IMKPeakOriented Material

    -

    This command is used to construct a material with a peak-oriented hysteretic response based on the modified Ibarra-Medina-Krawinkler deterioration model.

    -
    -
    -uniaxialMaterial IMKPeakOriented $Mat_Tag $Ke $Up_pos $Upc_pos $Uu_pos $Fy_pos $FmaxFy_pos $FresFy_pos $Up_neg $Upc_neg $Uu_neg $Fy_neg $FmaxFy_neg $FresFy_neg $Lamda_S $Lamda_C $Lamda_A $Lamda_K $c_S $c_C $c_A $c_K $D_pos $D_neg
    -
    - - ----- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    Argument

    Type

    Description

    $matTag

    integer

    integer tag identifying material

    $Ke

    float

    Elastic stiffness

    $dp_pos

    float

    Pre-capping deformation in positive loading direction

    $dpc_pos

    float

    Post-capping deformation in positive loading direction

    $du_pos

    float

    Ultimate deformation in positive loading direction

    $Fy_pos

    float

    Yield strength in positive loading direction

    $FmaxFy_pos

    float

    Maximum-to-yield strength ratio in positive loading direction

    $FresFy_pos

    float

    Residual-to-yield strength ratio in positive loading direction

    $dp_neg

    float

    Pre-capping deformation in negative loading direction

    $dpc_neg

    float

    Post-capping deformation in negative loading direction

    $du_neg

    float

    Ultimate deformation in negative loading direction

    $Fy_neg

    float

    Yield strength in negative loading direction

    $FmaxFy_neg

    float

    Maximum-to-yield strength ratio in negative loading direction

    $FresFy_neg

    float

    Residual-to-yield strength ratio in negative loading direction

    $Lamda_S

    float

    Cyclic deterioration parameter for yield strength deterioration

    $Lamda_C

    float

    Cyclic deterioration parameter for post-capping stiffness deterioration

    $Lamda_A

    float

    Cyclic deterioration parameter for accelerated reloading stiffness deterioration

    $Lamda_K

    float

    Cyclic deterioration parameter for unloading stiffness deterioration

    $c_S

    float

    Rate of yield strength deterioration

    $c_C

    float

    Rate of post-capping stiffness deterioration

    $c_A

    float

    Rate of accelerated reloading stiffness deterioration

    $c_K

    float

    Rate of unloading stiffness deterioration

    $D_pos

    float

    rate of cyclic deterioration in the positive loading direction. This parameter is used to create asymmetric hysteretic behavior as in the case of a composite beam (0< D_pos <1). For symmetric hysteretic response use 1.0.

    $D_neg

    float

    rate of cyclic deterioration in the negative loading direction. This parameter is used to create asymmetric hysteretic behavior as in the case of a composite beam (0< D_pos <1). For symmetric hysteretic response use 1.0.

    -
    -

    Note

    -

    All material model parameters (in both the positive and negative direction) shall be specified as positive values.

    -
    -
    -
    IbarraEtAl2005
    -

    Ibarra, L. F., Medina, R. A., and Krawinkler, H. (2005). “Hysteretic models that incorporate strength and stiffness deterioration.” Earthquake Engineering & Structural Dynamics, 34(12), 1489-1511, Doi: 10.1002/eqe.495.

    -
    -
    -
    -

    IMKPeakOriented backbone curve

    -
    -
    -../../../../_images/IMKPeakOriented.jpg -
    -

    Fig. 3.4.1.10 IMKPeakOriented sample responses and validations

    -
    -
    -
    -user/manual/material/uniaxialMaterials/figures/IMKPeakOriented-sampleresponses&validations.jpg -
    -
    -

    Example

    -

    The following is used to construct a IMKBilin material with symmetric hysteretic response.

    -
      -
    1. Tcl Code

    2. -
    -
    set Ke            100000.0;
    -set My            100.0;
    -set Mc_My   1.15;
    -set Mres_My 0.1;
    -set thetap  0.010;
    -set thetau  0.2;
    -set thetapc 0.1;
    -set lambdaS 1;
    -set lambdaC 1;
    -set lambdaA 1;
    -set lambdaK 1;
    -
    -uniaxialMaterial ModIMKPeakOriented 1 $Ke $as $as $My -$My $lambda $lambda $lambda $lambda 1 1 1 1 1 1;
    -
    -
    -
    -

    Code Developed by: |aelkady|

    -
    - - -
    - -
    -
    - -
    - -
    -

    - © Copyright 2020, The Regents of the University of California. - -

    -
    - - - - Built with Sphinx using a - - theme - - provided by Read the Docs. - -
    -
    -
    - -
    - -
    - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/docs/user/manual/material/uniaxialMaterials/IMKPinching.html b/docs/user/manual/material/uniaxialMaterials/IMKPinching.html deleted file mode 100644 index f09db425..00000000 --- a/docs/user/manual/material/uniaxialMaterials/IMKPinching.html +++ /dev/null @@ -1,459 +0,0 @@ - - - - - - - - - - - 3.4.1.10. IMKPinching Material — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    - - - -
    - - - - - -
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    - - - - - - - - - - - - - - - - - - - -
    - - - - -
    -
    -
    -
    - -
    -

    3.4.1.10. IMKPinching Material

    -

    This command is used to construct a material with a pinched hysteretic response based on the modified Ibarra-Medina-Krawinkler deterioration model.

    -
    -
    -uniaxialMaterial IMKPinching $Mat_Tag $Ke $Up_pos $Upc_pos $Uu_pos $Fy_pos $FmaxFy_pos $FresFy_pos $Up_neg $Upc_neg $Uu_neg $Fy_neg $FmaxFy_neg $FresFy_neg $Lamda_S $Lamda_C $Lamda_A $Lamda_K $c_S $c_C $c_A $c_K $D_pos $D_neg $kappaF $kappaD
    -
    - - ----- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    Argument

    Type

    Description

    $matTag

    integer

    integer tag identifying material

    $Ke

    float

    Elastic stiffness

    $dp_pos

    float

    Pre-capping deformation in positive loading direction

    $dpc_pos

    float

    Post-capping deformation in positive loading direction

    $du_pos

    float

    Ultimate deformation in positive loading direction

    $Fy_pos

    float

    Yield strength in positive loading direction

    $FmaxFy_pos

    float

    Maximum-to-yield strength ratio in positive loading direction

    $FresFy_pos

    float

    Residual-to-yield strength ratio in positive loading direction

    $dp_neg

    float

    Pre-capping deformation in negative loading direction

    $dpc_neg

    float

    Post-capping deformation in negative loading direction

    $du_neg

    float

    Ultimate deformation in negative loading direction

    $Fy_neg

    float

    Yield strength in negative loading direction

    $FmaxFy_neg

    float

    Maximum-to-yield strength ratio in negative loading direction

    $FresFy_neg

    float

    Residual-to-yield strength ratio in negative loading direction

    $Lamda_S

    float

    Cyclic deterioration parameter for yield strength deterioration

    $Lamda_C

    float

    Cyclic deterioration parameter for post-capping stiffness deterioration

    $Lamda_A

    float

    Cyclic deterioration parameter for accelerated reloading stiffness deterioration

    $Lamda_K

    float

    Cyclic deterioration parameter for unloading stiffness deterioration

    $c_S

    float

    Rate of yield strength deterioration

    $c_C

    float

    Rate of post-capping stiffness deterioration

    $c_A

    float

    Rate of accelerated reloading stiffness deterioration

    $c_K

    float

    Rate of unloading stiffness deterioration

    $D_pos

    float

    rate of cyclic deterioration in the positive loading direction. This parameter is used to create asymmetric hysteretic behavior as in the case of a composite beam (0< D_pos <1). For symmetric hysteretic response use 1.0.

    $D_neg

    float

    rate of cyclic deterioration in the negative loading direction. This parameter is used to create asymmetric hysteretic behavior as in the case of a composite beam (0< D_pos <1). For symmetric hysteretic response use 1.0.

    $kappaF

    float

    Pinching parameter defining the break point with respect to the maximum force experienced in the direction of loading (0 <kappaF <1).

    $kappaD

    float

    Pinching parameter defining the break point with respect to the maximum permanent deformation experienced in the direction of loading (0 <kappaD <1).

    -
    -

    Note

    -

    All material model parameters (in both the positive and negative direction) shall be specified as positive values.

    -
    -
    -
    IbarraEtAl2005
    -

    Ibarra, L. F., Medina, R. A., and Krawinkler, H. (2005). “Hysteretic models that incorporate strength and stiffness deterioration.” Earthquake Engineering & Structural Dynamics, 34(12), 1489-1511, Doi: 10.1002/eqe.495.

    -
    -
    -
    -

    IMKPinching backbone curve

    -
    -
    -../../../../_images/IMKPinching.jpg -
    -

    Fig. 3.4.1.11 IMKPinching sample responses and validations

    -
    -
    -
    -user/manual/material/uniaxialMaterials/figures/IMKPinching-sampleresponses&validations.jpg -
    -
    -

    Example

    -

    The following is used to construct a IMKBilin material with symmetric hysteretic response.

    -
      -
    1. Tcl Code

    2. -
    -
    set Ke            100000.0;
    -set My            100.0;
    -set Mc_My   1.15;
    -set Mres_My 0.1;
    -set thetap  0.010;
    -set thetau  0.2;
    -set thetapc 0.1;
    -set lambdaS 1;
    -set lambdaC 1;
    -set lambdaA 1;
    -set lambdaK 1;
    -set kappaF 0.3;
    -set kappaD 0.6;
    -
    -uniaxialMaterial IMKPinching 1 $Ke $as $as $My -$My $lambda $lambda $lambda $lambda 1 1 1 1 1 1 $kappaF $kappaD;
    -
    -
    -
    -

    Code Developed by: |aelkady|

    -
    - - -
    - -
    -
    - -
    - -
    -

    - © Copyright 2020, The Regents of the University of California. - -

    -
    - - - - Built with Sphinx using a - - theme - - provided by Read the Docs. - -
    -
    -
    - -
    - -
    - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/docs/user/manual/material/uniaxialMaterials/Other/BoucWenInfill.html b/docs/user/manual/material/uniaxialMaterials/Other/BoucWenInfill.html new file mode 100644 index 00000000..526193cb --- /dev/null +++ b/docs/user/manual/material/uniaxialMaterials/Other/BoucWenInfill.html @@ -0,0 +1,300 @@ + + + + + + + 3.4.1.20. BoucWenInfill Material — OpenSees Documentation documentation + + + + + + + + + + + + + + + + + + + + +
    + + +
    + +
    +
    +
    + +
    +
    +
    +
    + +
    +

    3.4.1.20. BoucWenInfill Material

    +

    This command is used to construct the uniaxial BoucWenInfill material producing smooth hysteretic loops with stiffness and strength degradation and pinching effect. The pinching formulation is particularly suitable to simulate the behavior of infill panels and masonry walls.

    +
    +
    +uniaxialMaterial BoucWenInfill $matTag $mass $alpha $beta0 $eta0 $n $k $xy $deltak $deltaf $psi $Zs $As $epsp $tol $maxIter
    +
    + + +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

    Argument

    Type

    Description

    $matTag

    integer

    integer tag identifying material.

    $mass

    float

    mass of the system.

    $alpha

    float

    ratio of post-yield stiffness to the initial elastic stiffness (0<$alpha<1).

    $beta0 $eta0

    float

    parameters that control the shape of the hysteresis loop (-1<$eta0<1).

    $n

    float

    Parameter that controls the transition from linear to nonlinear range.

    $k

    float

    Initial elastic stiffness.

    $xy

    float

    yielding displacement of the system

    $deltak $deltaf

    float

    Parameters that control respectively stiffness and strength degradation.

    $psi

    float

    Parameter that controls the rate of stiffness degradation.

    $Zs

    float

    parameter that controls the extension of pinching along z-axis.

    $As

    float

    parameter that controls the extension of pinching along x-axis.

    $epsp

    float

    pinching activation energy.

    $tol

    float

    tolerance in each integration step.

    $maxIter

    float

    maximum number of iterations for each integration step.

    +
    +

    Note

    +

    The determination of constitutive parameters is supported by their physical meaning. In case of infill panels, empirical correlation laws between the model parameters and the geometrical and mechanical properties of infilled frames can be found in [SirottiEtAL2021].

    +
    +

    The equations governing the BoucWenInfill behavior are described in [SirottiEtAl2021]. Other references can be found in [PelliciariEtAl2020] for stiffness and strength degradation and in [MadanEtAl1997] for the pinching formulation.

    +

    The model may reproduce either force-displacement or stress-strain relationships.

    +

    Parameters $deltak, $deltaf and $psi regulate respectively stiffness, strength degradation and the rate of stiffness degradation.

    +
    +../../../../../_images/BoucWenInfill1.png +
    +

    Parameters $Zs, $As and $epsp control the amount and activation of the pinching effect:

    +
    +../../../../../_images/BoucWenInfill2.png +
    +
    +../../../../../_images/BoucWenInfill3.png +
    +
    +

    Example

    +

    The following instruction builds a BoucWenInfill material with tag 1, parameters reported in the table above, tolerance $tol = \(10^{-6}\) and maximum number of iterations $maxIter = \(10^{6}\).

    +

    Tcl Code

    +
    uniaxialMaterial BoucWenInfill 1 1 0.06 0.25 0.1 1.2 65 1 0.005 0.005 0.001 0.01 5 10000 10e-6 10e6
    +
    +
    +
    +

    Code Developed by: Stefano Sirotti, University of Modena and Reggio Emilia, Italy, stefano.sirotti@unimore.it

    +
    +
    +[SirottiEtAL2021] +(1,2) +

    Sirotti, S., Pelliciari, M., Di Trapani, F., Briseghella, B., Carlo Marano, G., Nuti, C., & Tarantino, A. M. (2021). Development and validation of new Bouc–Wen data-driven hysteresis model for masonry infilled RC frames. Journal of Engineering Mechanics, 147(11), 04021092. DOI: https://doi.org/10.1061/(ASCE)EM.1943-7889.0002001.

    +
    +
    +[PelliciariEtAl2020] +

    Pelliciari, M., Briseghella, B., Tondolo, F., Veneziano, L., Nuti, C., Greco, R., … & Tarantino, A. M. (2020). A degrading Bouc–Wen model for the hysteresis of reinforced concrete structural elements. Structure and Infrastructure Engineering, 16(7), 917-930. DOI: https://doi.org/10.1080/15732479.2019.1674893.

    +
    +
    +[MadanEtAl1997] +

    Madan, A., Reinhorn, A. M., Mander, J. B., & Valles, R. E. (1997). Modeling of masonry infill panels for structural analysis. Journal of structural engineering, 123(10), 1295-1302. DOI: https://doi.org/10.1061/(ASCE)0733-9445(1997)123:10(1295).

    +
    +
    +
    + + +
    +
    +
    + +
    + +
    +

    © Copyright 2022, The Regents of the University of California.

    +
    + + Built with Sphinx using a + theme + provided by Read the Docs. + + +
    +
    +
    +
    +
    + + + + + + + + + + + \ No newline at end of file diff --git a/docs/user/manual/material/uniaxialMaterials/DowelType.html b/docs/user/manual/material/uniaxialMaterials/Other/DowelType.html similarity index 67% rename from docs/user/manual/material/uniaxialMaterials/DowelType.html rename to docs/user/manual/material/uniaxialMaterials/Other/DowelType.html index e74c9a03..363c24f6 100644 --- a/docs/user/manual/material/uniaxialMaterials/DowelType.html +++ b/docs/user/manual/material/uniaxialMaterials/Other/DowelType.html @@ -1,226 +1,137 @@ - - - - + - - 3.4.1.12. DowelType Timber Joint Material — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - + 3.4.1.19. DowelType Timber Joint Material — OpenSees Documentation documentation + + + - - - - - - - + + + + + + - - - - - - - - + + + + + - - - +
    - -
    - - -
    + + + + + + + + + + + \ No newline at end of file diff --git a/docs/user/manual/material/uniaxialMaterials/Other/IMKPinching.html b/docs/user/manual/material/uniaxialMaterials/Other/IMKPinching.html new file mode 100644 index 00000000..aee88b06 --- /dev/null +++ b/docs/user/manual/material/uniaxialMaterials/Other/IMKPinching.html @@ -0,0 +1,353 @@ + + + + + + + 3.4.1.17. IMKPinching Material — OpenSees Documentation documentation + + + + + + + + + + + + + + + + + + + +
    + + +
    + +
    +
    +
    + +
    +
    +
    +
    + +
    +

    3.4.1.17. IMKPinching Material

    +

    This command is used to construct a material with a pinched hysteretic response based on the modified Ibarra-Medina-Krawinkler deterioration model.

    +
    +
    +uniaxialMaterial IMKPinching $Mat_Tag $Ke $Up_pos $Upc_pos $Uu_pos $Fy_pos $FmaxFy_pos $FresFy_pos $Up_neg $Upc_neg $Uu_neg $Fy_neg $FmaxFy_neg $FresFy_neg $Lamda_S $Lamda_C $Lamda_A $Lamda_K $c_S $c_C $c_A $c_K $D_pos $D_neg $kappaF $kappaD
    +
    + + +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

    Argument

    Type

    Description

    $matTag

    integer

    integer tag identifying material

    $Ke

    float

    Elastic stiffness

    $dp_pos

    float

    Pre-capping deformation in positive loading direction

    $dpc_pos

    float

    Post-capping deformation in positive loading direction

    $du_pos

    float

    Ultimate deformation in positive loading direction

    $Fy_pos

    float

    Yield strength in positive loading direction

    $FmaxFy_pos

    float

    Maximum-to-yield strength ratio in positive loading direction

    $FresFy_pos

    float

    Residual-to-yield strength ratio in positive loading direction

    $dp_neg

    float

    Pre-capping deformation in negative loading direction

    $dpc_neg

    float

    Post-capping deformation in negative loading direction

    $du_neg

    float

    Ultimate deformation in negative loading direction

    $Fy_neg

    float

    Yield strength in negative loading direction

    $FmaxFy_neg

    float

    Maximum-to-yield strength ratio in negative loading direction

    $FresFy_neg

    float

    Residual-to-yield strength ratio in negative loading direction

    $Lamda_S

    float

    Cyclic deterioration parameter for yield strength deterioration

    $Lamda_C

    float

    Cyclic deterioration parameter for post-capping stiffness deterioration

    $Lamda_A

    float

    Cyclic deterioration parameter for accelerated reloading stiffness deterioration

    $Lamda_K

    float

    Cyclic deterioration parameter for unloading stiffness deterioration

    $c_S

    float

    Rate of yield strength deterioration

    $c_C

    float

    Rate of post-capping stiffness deterioration

    $c_A

    float

    Rate of accelerated reloading stiffness deterioration

    $c_K

    float

    Rate of unloading stiffness deterioration

    $D_pos

    float

    rate of cyclic deterioration in the positive loading direction. This parameter is used to create asymmetric hysteretic behavior as in the case of a composite beam (0< D_pos <1). For symmetric hysteretic response use 1.0.

    $D_neg

    float

    rate of cyclic deterioration in the negative loading direction. This parameter is used to create asymmetric hysteretic behavior as in the case of a composite beam (0< D_pos <1). For symmetric hysteretic response use 1.0.

    $kappaF

    float

    Pinching parameter defining the break point with respect to the maximum force experienced in the direction of loading (0 <kappaF <1).

    $kappaD

    float

    Pinching parameter defining the break point with respect to the maximum permanent deformation experienced in the direction of loading (0 <kappaD <1).

    +
    +

    Note

    +

    All material model parameters (in both the positive and negative direction) shall be specified as positive values.

    +
    +
    +
    +[IbarraEtAl2005] +

    Ibarra, L. F., Medina, R. A., and Krawinkler, H. (2005). “Hysteretic models that incorporate strength and stiffness deterioration.” Earthquake Engineering & Structural Dynamics, 34(12), 1489-1511, Doi: 10.1002/eqe.495.

    +
    +
    +
    +

    IMKPinching backbone curve

    +
    +
    +../../../../../_images/IMKPinching.jpg +
    +

    Fig. 3.4.1.11 IMKPinching sample responses and validations

    +
    +
    +
    +../../../../../_images/IMKPinching_sample_responses_validations.jpg +
    +
    +

    Example

    +

    The following is used to construct a IMKBilin material with symmetric hysteretic response.

    +
      +
    1. Tcl Code

    2. +
    +
    set Ke            100000.0;
    +set My            100.0;
    +set Mc_My   1.15;
    +set Mres_My 0.1;
    +set thetap  0.010;
    +set thetau  0.2;
    +set thetapc 0.1;
    +set lambdaS 1;
    +set lambdaC 1;
    +set lambdaA 1;
    +set lambdaK 1;
    +set kappaF 0.3;
    +set kappaD 0.6;
    +
    +uniaxialMaterial IMKPinching 1 $Ke $as $as $My -$My $lambda $lambda $lambda $lambda 1 1 1 1 1 1 $kappaF $kappaD;
    +
    +
    +
    +

    Code Developed by: |aelkady|

    +
    + + +
    +
    +
    + +
    + +
    +

    © Copyright 2022, The Regents of the University of California.

    +
    + + Built with Sphinx using a + theme + provided by Read the Docs. + + +
    +
    +
    +
    +
    + + + + + + + + + + + \ No newline at end of file diff --git a/docs/user/manual/material/uniaxialMaterials/PyLiq1.html b/docs/user/manual/material/uniaxialMaterials/PyTzQZ/PyLiq1.html similarity index 65% rename from docs/user/manual/material/uniaxialMaterials/PyLiq1.html rename to docs/user/manual/material/uniaxialMaterials/PyTzQZ/PyLiq1.html index fce99bdd..e58b9e0d 100644 --- a/docs/user/manual/material/uniaxialMaterials/PyLiq1.html +++ b/docs/user/manual/material/uniaxialMaterials/PyTzQZ/PyLiq1.html @@ -1,226 +1,137 @@ - - - - + - - 3.4.1.17. PyLiq1 Material — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - + 3.4.1.24. PyLiq1 Material — OpenSees Documentation documentation + + + - - - - - - - + + + + + + - - - - - - - - + + + + + - - - +
    - -
    - - -
    + + + + + + + + + + + \ No newline at end of file diff --git a/docs/user/manual/material/uniaxialMaterials/Steel02.html b/docs/user/manual/material/uniaxialMaterials/Steel/Steel02.html similarity index 51% rename from docs/user/manual/material/uniaxialMaterials/Steel02.html rename to docs/user/manual/material/uniaxialMaterials/Steel/Steel02.html index 1fda1706..c84a6c93 100644 --- a/docs/user/manual/material/uniaxialMaterials/Steel02.html +++ b/docs/user/manual/material/uniaxialMaterials/Steel/Steel02.html @@ -1,236 +1,147 @@ - - - - + - 3.4.1.2. Steel02 Material — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - + + + - - - - - - - - - - - - - - + + + + + + + + + + - - - +
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    - -
    - - -
    - - - - - - - + + window.dataLayer = window.dataLayer || []; + function gtag(){dataLayer.push(arguments);} + gtag('js', new Date()); - - + gtag('config', 'UA-2431545-1', { + 'anonymize_ip': false, + }); + + + + + + \ No newline at end of file diff --git a/docs/user/manual/model/damping/rayleigh.html b/docs/user/manual/model/damping/rayleigh.html new file mode 100644 index 00000000..d052322d --- /dev/null +++ b/docs/user/manual/model/damping/rayleigh.html @@ -0,0 +1,213 @@ + + + + + + + 3.1.8.1. Rayleigh Damping Command — OpenSees Documentation documentation + + + + + + + + + + + + + + + + + + + + +
    + + +
    + +
    +
    +
    + +
    +
    +
    +
    + +
    +

    3.1.8.1. Rayleigh Damping Command

    +
    +
    +rayleigh $alphaM $betaK $betaKInit $betaKcomm
    +
    + + +++++ + + + + + + + + + + + + + + + + + + + + + + + + +

    Argument

    Type

    Description

    $alphaM

    float

    factor applied to elements or nodes mass matrix

    $betaK

    float

    factor applied to elements current stiffness matrix.

    $betaKInit

    float

    factor applied to elements initial stiffness matrix

    $betaKcomm

    float

    factor applied to elements committed stiffness matrix

    +

    This command is used to assign damping to all previously-defined elements and nodes. When using rayleigh damping in OpenSees, the damping matrix for an element or node, D is specified as a combination of stiffness and mass-proportional damping matrices:

    +

    \(D = \alpha_m M + \beta_k K_{current} + \beta_{k_{init}} K_{init} + \beta_{K_{comm}} K_{last commit}\)

    +
    +

    Note

    +
      +
    • The command overwrites any existing damping coeeficients at the Elements and Nodes.

    • +
    • The usage of Rayleigh damping may provide incorrect result when used with Non-Linear Time History Analysis using Concentrated Plasticity Model. [ChopraMcKenna2015]

    • +
    +
    +
    + + +
    +
    +
    + +
    + +
    +

    © Copyright 2022, The Regents of the University of California.

    +
    + + Built with Sphinx using a + theme + provided by Read the Docs. + + +
    +
    +
    +
    +
    + + + + + + + + + + + \ No newline at end of file diff --git a/docs/user/manual/model/eleLoad.html b/docs/user/manual/model/eleLoad.html index 5a5df4fe..0c2a28c2 100644 --- a/docs/user/manual/model/eleLoad.html +++ b/docs/user/manual/model/eleLoad.html @@ -1,79 +1,36 @@ - - - - + - - 3.1.7.1.2. eleLoad Command — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - + eleLoad Command — OpenSees Documentation documentation + + + - - - - - - + + - - - + - - - +
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    - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/docs/user/manual/model/fixZ.html b/docs/user/manual/model/fixZ.html deleted file mode 100644 index 0576a43d..00000000 --- a/docs/user/manual/model/fixZ.html +++ /dev/null @@ -1,326 +0,0 @@ - - - - - - - - - - - 3.1.4.4. fixY Command — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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    3.1.4.4. fixY Command

    -

    This command is used to construct multiple homogeneous single-point boundary constraints for all nodes whose z-coordinate lies within a specified distance from a specified coordinate.

    - ----- - - - - - - - - - - - - - - - - - - - - -

    Argument

    Type

    Description

    $zCoordinate

    float

    z-coordinate of nodes to be constrained

    $constrValues

    list integer

    -
    ndf constraint values (0 or 1) corresponding to the ndf
    -
    degrees-of-freedom.
    -
    0 unconstrained (or free)
    -
    1 constrained (or fixed)
    -
    -

    $tol

    float

    user-defined tolerance (optional: default = 1e-10)

    -
    -

    Example:

    -

    The following example demonstrate the command to fix the first 3 degrees-of-freedom at all nodes in the model at z location 30.0.

    -
      -
    1. Tcl Code

    2. -
    -
    fixZ 30.0 1 1 1 0 0 0
    -
    -
    -
      -
    1. Python Code

    2. -
    -
    fixZ(30.0, 1, 1, 1, 0, 0, 0)
    -
    -
    -
    -

    Code Developed by: fmk

    -
    - - -
    - -
    -
    - -
    - -
    -

    - © Copyright 2020, The Regents of the University of California. - -

    -
    - - - - Built with Sphinx using a - - theme - - provided by Read the Docs. - -
    -
    -
    - -
    - -
    - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/docs/user/manual/model/imposedMotion.html b/docs/user/manual/model/imposedMotion.html deleted file mode 100644 index 6ca6a9bb..00000000 --- a/docs/user/manual/model/imposedMotion.html +++ /dev/null @@ -1,315 +0,0 @@ - - - - - - - - - - - 3.1.7.3.2. Imposed Motion Command — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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    3.1.7.3.2. Imposed Motion Command

    -

    This command is used to construct an ImposedMotionSP constraint which is used to enforce the response of a dof at a node in the model. The response enforced at the node at any give time is obtained from the GroundMotion object associated with the constraint.

    -
    -
    -imposedMotion $nodeTag $dirn $gMotionTag
    -

    $nodeTag, integer, tag of node on which constraint is to be placed -$dof, integer, dof of enforced response. Valid range is from 1 through ndf at node. -$gMotionTag, integer, pre-defined GroundMotion object tag

    -
    - -
    -

    Example:

    -

    The following example shows how to construct a Multi-Suppert Excitation pattern with a tag of 1* that will constrain the nodes **1, 4, and 7 to move in the 1 dof direcection with the ground Motion supplied by the groundMotion with tag 101, whose displacement is given by timeSeries with a tag of 3.

    -
      -
    1. Tcl Code

    2. -
    -
    timeSeries Path 3 -filePath elCentroDisp.dat -dt 0.02
    -pattern MultipleSupport  1  {
    -     groundMotion 101 Series -disp 3
    -
    -     imposedSupportMotion 1 1 101
    -     imposedSupportMotion 4 1 101
    -     imposedSupportMotion 7 1 101
    -}
    -
    -
    -
      -
    1. Python Code

    2. -
    -
    timeSeries('Path', 3, '-dt', 0.02, '-filePath', 'elCentroDisp.dat')
    -pattern('MultiSupport', 1)
    -groundMotion(101, 'Series', '-disp', 3)
    -imposedSupportMotion(1,1,101)
    -imposedSupportMotion(4,1,101)
    -imposedSupportMotion(7,1,101)
    -
    -
    -
    -

    Code Developed by: fmk

    -
    - - -
    - -
    -
    - -
    - -
    -

    - © Copyright 2020, The Regents of the University of California. - -

    -
    - - - - Built with Sphinx using a - - theme - - provided by Read the Docs. - -
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    -
    - -
    - -
    - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/docs/user/manual/model/interpolatedGroundMotion.html b/docs/user/manual/model/interpolatedGroundMotion.html deleted file mode 100644 index 0d2ba231..00000000 --- a/docs/user/manual/model/interpolatedGroundMotion.html +++ /dev/null @@ -1,262 +0,0 @@ - - - - - - - - - - - Interpolated Ground Motion — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    - - - -
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    Interpolated Ground Motion

    -

    This command is used to construct an interpolated GroundMotion object, where the motion is determined by combining several previously defined ground motions in the load pattern. The command is as follows:

    -
    -
    -groundMotion $tag Interpolated $gmTag1 $gmTag2 ... -fact $fact1 $fact2 ...
    -
    - - ----- - - - - - - - - - - - - - - - - - - - - -

    Argument

    Type

    Description

    $tag

    integer

    unique tag among ground motions in load pattern

    $gmTags

    list integer

    the tags of existing ground motions in pattern to be used for interpolation.

    $factors

    list float

    the interpolation factors.

    -
    - - -
    - -
    -
    - - -
    - -
    -

    - © Copyright 2020, The Regents of the University of California - -

    -
    - Built with Sphinx using a theme provided by Read the Docs. - -
    - -
    -
    - -
    - -
    - - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/docs/user/manual/model/load.html b/docs/user/manual/model/load.html index 3b50a110..0f0c809d 100644 --- a/docs/user/manual/model/load.html +++ b/docs/user/manual/model/load.html @@ -1,79 +1,36 @@ - - - - + - - 3.1.7.1.1. load Command — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - + load Command — OpenSees Documentation documentation + + + - - - - - - + + - - - + - - - +
    - -
    - - -
    - - - - - - - + + window.dataLayer = window.dataLayer || []; + function gtag(){dataLayer.push(arguments);} + gtag('js', new Date()); - - + gtag('config', 'UA-2431545-1', { + 'anonymize_ip': false, + }); + - - - - - \ No newline at end of file diff --git a/docs/user/manual/model/spConstraint.html b/docs/user/manual/model/spConstraint.html deleted file mode 100644 index c328d37a..00000000 --- a/docs/user/manual/model/spConstraint.html +++ /dev/null @@ -1,245 +0,0 @@ - - - - - - - - - - - sp — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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    sp

    -
    - - -
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    - -
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    - © Copyright 2020, The Regents of the University of California. - -

    -
    - - - - Built with Sphinx using a - - theme - - provided by Read the Docs. - -
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    -
    - -
    - -
    - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/docs/user/manual/model/spConstraints.html b/docs/user/manual/model/spConstraints.html index 62940d61..36c6dd96 100644 --- a/docs/user/manual/model/spConstraints.html +++ b/docs/user/manual/model/spConstraints.html @@ -1,79 +1,38 @@ - - - - + - 3.1.4. SP_Constraint Commands — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - + + + - - - - - - + + - - + + - - - +
    - -
    - - -
    - - - - - - - + + window.dataLayer = window.dataLayer || []; + function gtag(){dataLayer.push(arguments);} + gtag('js', new Date()); - - + gtag('config', 'UA-2431545-1', { + 'anonymize_ip': false, + }); + + + + + + \ No newline at end of file diff --git a/docs/user/manual/model/fixX.html b/docs/user/manual/model/sp_constraint/fixX.html similarity index 50% rename from docs/user/manual/model/fixX.html rename to docs/user/manual/model/sp_constraint/fixX.html index 36a57e1d..50b2a8fc 100644 --- a/docs/user/manual/model/fixX.html +++ b/docs/user/manual/model/sp_constraint/fixX.html @@ -1,218 +1,124 @@ - - - - + - 3.1.4.2. fixX Command — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - + + + - - - - - - - - - - - - - + + + + + + + + + - - - +
    - -
    - - -
    + + + + + + + + + + + \ No newline at end of file diff --git a/docs/user/manual/model/sp_constraint/sp.html b/docs/user/manual/model/sp_constraint/sp.html new file mode 100644 index 00000000..b0cecb1c --- /dev/null +++ b/docs/user/manual/model/sp_constraint/sp.html @@ -0,0 +1,147 @@ + + + + + + + sp Command — OpenSees Documentation documentation + + + + + + + + + + + + + + + + + +
    + + +
    + +
    +
    +
    + +
    +
    +
    +
    + +
    +

    sp Command

    +

    This command is used to construct a single-point constraint object and add it to the enclosing LoadPattern.

    +
    +
    +sp $nodeTag $dofTag $dofValue
    +

    $nodeTag, integer, tag of node to which constraint is applied. +$dofTag, integer, the degree-of-freedom at the node to which constraint is applied (1 through ndf) +$dofValue, integer, reference constraint value.

    +
    + +
    +

    Note

    +

    The $dofValue is a reference value, it is the time series that provides the load factor. The load factor times the reference value is the constraint that is actually applied to the node.

    +
    +
    + + +
    +
    +
    + +
    + +
    +

    © Copyright 2022, The Regents of the University of California.

    +
    + + Built with Sphinx using a + theme + provided by Read the Docs. + + +
    +
    +
    +
    +
    + + + + + + + + + + + \ No newline at end of file diff --git a/docs/user/manual/model/timeSeries.html b/docs/user/manual/model/timeSeries.html index f0ee481f..4188541d 100644 --- a/docs/user/manual/model/timeSeries.html +++ b/docs/user/manual/model/timeSeries.html @@ -1,80 +1,39 @@ - - - - + - 3.1.6. Time Series Command — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - + + + - - + - - - - + - - + + - - - +
    - -
    - - -
    - - - - - - - - - - - - - - - - - - - - \ No newline at end of file diff --git a/docs/user/manual/model/uniaxialMaterials/QzSimple1.html b/docs/user/manual/model/uniaxialMaterials/QzSimple1.html deleted file mode 100644 index ad798ae4..00000000 --- a/docs/user/manual/model/uniaxialMaterials/QzSimple1.html +++ /dev/null @@ -1,353 +0,0 @@ - - - - - - - - - - - 3.4.1.5. QzSimple1 Material — OpenSees Documentation documentation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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    3.4.1.5. QzSimple1 Material

    -

    This command is used to construct a QzSimple1 uniaxial material object:

    -
    -
    -uniaxialMaterial QzSimple1 $matTag $qzType $qult $Z50 <$suction $c>
    -
    - - ----- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    Argument

    Type

    Description

    $matTag

    integer

    integer tag identifying material

    $qzType

    integer

    1 or 2 see note.

    $qult

    float

    Ultimate capacity of the q-z material. SEE NOTE 1.

    $Z50

    float

    Displacement at which 50% of qult is mobilized in monotonic loading.

    $suction

    float

    Uplift resistance is equal to suction*qult. Default = 0.0.

    $c

    float

    Viscous damping term (default = 0.0). see note

    -
    -

    Note

    -

    qzType = 1 Backbone of q-z curve approximates Reese and O’Neill’s (1987) relation for drilled shafts in clay.

    -

    qzType = 2 Backbone of q-z curve approximates Vijayvergiya’s (1977) relation for piles in sand.

    -

    $qult: Ultimate capacity of the q-z material. Note that “q” or “qult” are stresses [force per unit area of pile tip] in common design equations, but are both loads for this uniaxialMaterial [i.e., stress times tip area].

    -

    $Y50: Displacement at which 50% of pult is mobilized in monotonic loading. Note that Vijayvergiya’s relation (qzType=2) refers to a “critical” displacement (zcrit) at which qult is fully mobilized, and that the corresponding z50 would be 0. 125zcrit.

    -

    $suction: The value of suction must be 0.0 to 0.1.*

    -

    $c: The viscous damping term (dashpot) on the far-field (elastic) component of the displacement rate (velocity). Nonzero c values are used to represent radiation damping effects.*

    -

    optional args $suction and $c must either both be omitted or both provided.

    -
    -

    EQUATIONS and EXAMPLE RESPONSES:

    -

    The equations describing QzSimple1 behavior are similar to those for p-y materials by [BoulangerEtAl1999]. Modifications were required for representing the different responses of a <math>q-z` material in compression versus uplift.

    -

    The nonlinear q-z behavior is conceptualized as consisting of elastic (q-\(z^e\)), plastic (q-\(z^p\)), and gap (\(q-z^g\)) components in series. Radiation damping is modeled by a dashpot on the “far-field” elastic component (\(q-z^e\)) of the displacement rate. The gap component consists of a bilinear closure spring (\(q^c-z^g\)) in parallel with a nonlinear drag spring (\(q^d-z^g\)). Note that \(z = z^e + z^p + z^g\), and that \(q = q^d + q^c\).

    -

    The plastic component has an initial range of rigid behavior between \(-C_r q_{ult} < q < C_r q_{ult}\) with \(C_r\) = the ratio of \(\frac{q}{q_{{ult}}}\) when plastic yielding first occurs in virgin loading. The rigid range of q, which is initially \(2 C_r q_{ult}\), translates and grows with plastic yielding. The rigid range of q is constrained to a maximum size of \(0.7q_{{ult}}\). Beyond the rigid range, loading of the plastic (\(q-z^p\)) component is described by:

    -
    -\[q = q_{{ult}} - (q_{{ult}} - q_0) \left [\frac{c * z_{50}}{c * z_{50} + | z_p - z^p_0|} \right ]\]
    -

    where \(q_ult\) = the ultimate resistance of the \(q-z\) material in the current loading direction, \(q_o = q\) at the start of the current plastic loading cycle, p \(z^p_o = z^p\) at the start of the current plastic loading cycle, and c and n are constants that control the shape of \(q-z^p\) curve.

    -

    The closure (\(q^c-z^g\)) component is simply a bilinear elastic spring, which is relatively rigid in compression and extremely flexible in tension (uplift).

    -

    The nonlinear drag (\(q^d-z^g\)) component is used to allow thethe specification of some minimum “suction” on the pile tip during uplift. It is described by:

    -
    -\[q^d = C_d q_{ult} - (C_d q_{{ult}} - q^d_0) \left [\frac{z_{50}}{z_{50} + 2| z^g - z^g_0|} \right ]\]
    -

    where \(C_d\) = ratio of the maximum drag (suction) force to the ultimate resistance of the \(q-z\) material, \(q^d_o = q^d\) at the start of the current loading cycle, and \(z^g_o = z^g\) at the start of the current loading cycle.

    -

    The flexibility of the above equations can be used to approximate different q-z backbone relations. Reese and O’Neill’s (1987) recommended backbone for drilled shafts in clay is closely approximated using \(c = 0.35\), \(n = 1.2\), and \(C_r = 0.2\). Vijayvergiya’s (1977) recommended backbone for piles in sand is closely approximated using \(c = 12.3\), \(n = 5.5\), and \(C_r = 0.3\).

    -

    QzSimple1 is currently implemented to allow use of these two default sets of values. Values of \(q_{ult}\), \(z_50\), and suction (i.e., \(C_d\)) must then be specified to define the \(q-z\) material behavior.

    -

    Viscous damping on the far-field (elastic) component of the \(q-z\) material is included for approximating radiation damping. For implementation in OpenSees the viscous damper is placed across the entire material, but the viscous force is calculated as proportional to the component of velocity (or displacement) that developed in the far-field elastic component of the material. For example, this correctly causes the damper force to become zero during load increments across a fully formed gap in uplift. In addition, the total force across the \(q-z\) material is restricted to \(q_{ult}\) in magnitude so that the viscous damper cannot cause the total force to exceed the near-field soil capacity. Users should also be familiar with numerical oscillations that can develop in viscous damper forces under transient loading with certain solution algorithms and damping ratios. In general, an HHT algorithm is preferred over a Newmark algorithm for reducing such oscillations in materials like QzSimple1.

    -

    Examples of the monotonic backbones and cyclic loading response of QzSimple1 are given in the following plots.

    -
    -../../../../_images/QzSimple1A.gif -
    -
    -../../../../_images/QzSimple1B.gif -
    -
    -

    Example

    -

    The following constructs a PySimple material with tag 101, soil type 2 (sand), \(q_{ult}\) of 47216.4 and a \(Z_{50}\) of 0.00625. suction and c are set to 0.0.

    -
      -
    1. Tcl Code

    2. -
    -
    uniaxialMaterial QzSimple1 101  2  47216.4  0.00625  0.0  0.0
    -
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    -
      -
    1. Python Code

    2. -
    -
    uniaxialMaterial('QzSimple1', 101,  2,  47216.4,  0.00625,  0.0,  0.0)
    -
    -
    -
    -

    Code Developed by: Ross Boulanger, UC Davis

    -
    -
    BoulangerEtAl1999
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    Boulanger, R. W., Curras, C. J., Kutter, B. L., Wilson, D. W., and Abghari, A. (1999). “Seismic soil-pile-structure interaction experiments and analyses.” Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 125(9): 750-759. Only minor changes have been made in its implementation for OpenSees.

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    This command is used to construct a uniaxial bilinear steel material object with kinematic hardening and optional isotropic hardening described by a non-linear evolution equation (REF: Fedeas).

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    -uniaxialMaterial Steel01 $matTag $Fy $E0 $b <$a1 $a2 $a3 $a4>
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    Argument

    Type

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    $matTag

    integer

    integer tag identifying material

    $Fy

    float

    yield strength

    $E0

    float

    initial elastic tangent

    $b

    float

    strain-hardening ratio (ratio between post-yield tangent and initial elastic tangent)

    $a1

    float

    optional: isotropic hardening parameter: increase of compression yield envelope as proportion of yield strength after a plastic strain of $a2*($Fy/E0).

    $a2

    float

    optional:isotropic hardening parameter (see explanation under $a1)

    $a3

    float

    optional: isotropic hardening parameter: increase of tension yield envelope as proportion of yield strength after a plastic strain of $a4*($Fy/E0)

    $a4

    float

    optional: isotropic hardening parameter (see explanation under $a3)

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    Fig. 3.4.1.1 Steel01

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    Fig. 3.4.1.2 Steel01 Material – Default Hysteretic Behavior (NO isotropic hardening)

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    Fig. 3.4.1.3 Steel01 Material – Hysteretic Behavior of Model with Isotropic Hardening in Compression

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    Fig. 3.4.1.4 Steel01 Material – Hysteretic Behavior of Model with Isotropic Hardening in Tension

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    Example

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    The following is used to construct a Steel01 mataerial with a tag of 1, a yield strength of $60.0** and an initial tangent stiffness of 30000,0.

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    Steel02 Material

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    This command is used to construct a uniaxial Giuffre-Menegotto-Pinto steel material object with isotropic strain hardening.

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    -uniaxialMaterial Steel02 $matTag $Fy $E $b $R0 $cR1 $cR2 <$a1 $a2 $a3 $a4 $sigInit>
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    $matTag integer tag identifying material -$Fy yield strength -$E0 initial elastic tangent -$b strain-hardening ratio (ratio between post-yield tangent and initial elastic tangent) -Recommended values: $R0=between 10 and 20, $cR1=0.925, $cR2=0.15

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    $a1 isotropic hardening parameter, increase of compression yield envelope as proportion of yield strength after a plastic strain of $a2*($Fy/E0). (optional) -$a2 isotropic hardening parameter (see explanation under $a1). (optional default = 1.0). -$a3 isotropic hardening parameter, increase of tension yield envelope as proportion of yield strength after a plastic strain of $a4*($Fy/E0). (optional default = 0.0) -$a4 isotropic hardening parameter (see explanation under $a3). (optional default = 1.0) -$sigInit Initial Stress Value (optional, default: 0.0) the strain is calculated from epsP=$sigInit/$E -if (sigInit!= 0.0) { double epsInit = sigInit/E; eps = trialStrain+epsInit; } else eps = trialStrain;

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    $matTag, integer, integer tag identifying material -$Fy, float, yield strength -$E0, float, initial elastic tangent -$b, float, strain-hardening ratio (ratio between post-yield tangent and initial elastic tangent) -$R0 $CR1 $CR2, float, parameters to control the transition from elastic to plastic branches. -$a1, float, optional: isotropic hardening parameter: increase of compression yield envelope as proportion of yield strength after a plastic strain of $a2*($Fy/E0). -$a2, float, optional:isotropic hardening parameter (see explanation under $a1) -$a3, float, optional: isotropic hardening parameter: increase of tension yield envelope as proportion of yield strength after a plastic strain of $a4*($Fy/E0) -$a4, float, optional: isotropic hardening parameter (see explanation under $a3)

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    ..REFERENCE:

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    Filippou, F. C., Popov, E. P., Bertero, V. V. (1983). “Effects of Bond Deterioration on Hysteretic Behavior of Reinforced Concrete Joints”. Report EERC 83-19, Earthquake Engineering Research Center, University of California, Berkeley.

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    Steel01

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    Steel01 Material – Default Hysteretic Behavior (NO isotropic hardening)

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    Steel01 Material – Hysteretic Behavior of Model with Isotropic Hardening in Compression

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    Steel01 Material – Hysteretic Behavior of Model with Isotropic Hardening in Tension

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    Argument

    Type

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    $matTag

    integer

    integer tag identifying material

    $soilType

    integer

    1 or 2. see note.

    $tult

    float

    Ultimate capacity of the t-z material. see notes

    $Z50

    float

    Displacement at which 50% of tult is mobilized in monotonic loading.

    $c

    float

    The viscous damping term (optional: default = 0.0). see note.

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    soilType = 2 Backbone of t-z curve approximates Mosher (1984) relation.

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    The argument tult is the ultimate capacity of the t-z material. Note that “t” or “tult” are shear stresses [force per unit area of pile surface] in common design equations, but are both loads for this uniaxialMaterial [i.e., shear stress times the tributary area of the pile].

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    The viscous damping term (dashpot) on the far-field (elastic) component of the displacement rate (velocity). Nonzero c values are used to represent radiation damping effects

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    EQUATIONS and EXAMPLERESPONSES:

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    The equations describing PySimple1 behavior are described in [BoulangerEtAl1990]. Only minor changes have been made in its implementation for OpenSees.

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    The nonlinear t-z behavior is conceptualized as consisting of elastic (\(t-z^e\)) and plastic (\(t-z^p\)) components in series. Radiation damping is modeled by a dashpot on the “far-field” elastic component (\(t-z^e\)) of the displacement rate. Note that \(z = z^e + z^p\), and that \(t = t^e = t^p\).

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    The plastic component is described by:

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    -\[t^p = t_{ult} - (t_{ult} - t^p_0) \left [\frac{c z_{50}}{c z_{50} + | z_p - z^p_0|} \right ]\]
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    where \(t_{ult} = \) at the start of the current plastic loading cycle, \(z^p_0 = z^P\) at the start of the current plastic loading cycle, and c = a constant and n = an exponent that define the shape of the \(t-z^p\) curve.

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    -\[t^e = C_e \frac{t_{ult}}{z_{50}} z^e\]
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    where \(C_e\) = a constant that defines the normalized elastic stiffness. The value of \(C_e\) is not an independent parameter, but rather depends on the constants c & n (along with the fact that \(t = 0.5 t_{ult}\) at \(z = z_{50}\)).

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    The flexibility of the above equations can be used to approximate different t-z backbone relations. Reese and O’Neill’s (1987) recommended backbone for drilled shafts is closely approximated using c = 0.5, n = 1.5, and Ce = 0.708. Mosher’s (1984) recommended backbone for axially loaded piles in sand is closely approximated using c = 0.6, n = 0.85, and Ce = 2.05. TzSimple1 is currently implemented to allow use of these two default sets of values. Values of tult and z50 must then be specified to define the t-z material behavior.

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    Viscous damping on the far-field (elastic) component of the t-z material is included for approximating radiation damping. For implementation in OpenSees the viscous damper is placed across the entire material, but the viscous force is calculated as proportional to the component of velocity (displacement rate) that developed in the far-field elastic component of the material. In addition, the total force across the t-z material is restricted to tult in magnitude so that the viscous damper cannot cause the total force to exceed the near-field soil capacity. Users should also be familiar with numerical oscillations that can develop in viscous damper forces under transient loading with certain solution algorithms and damping ratios. In general, an HHT algorithm is preferred over a Newmark algorithm for reducing such oscillations in materials like TzSimple1.

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    Examples of the cyclic loading response of TzSimple1 are given in the following plots. Note that the response for tzType = 2 has greater nonlinearity at smaller displacements (and hence greater hysteretic damping) and that it approaches tult more gradually (such that t/tult is still well below

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    Boulanger, R.W., Curras, C.J., Kutter, B.L., Wilson, D.W., and Abghari, A. (1990). “Seismic Soil-pile-strcture interaction experiments and analysis”, Jornal of Geotechnical and Geoenvironmental Engineering, ASCS, 125(9):750-759.

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