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rafaelpsilva07 committed Oct 22, 2024
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2 changes: 1 addition & 1 deletion .buildinfo
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# Sphinx build info version 1
# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done.
config: 360392d32778730aa50559b677588605
config: 9d6d6064531b60e40691576712c30d26
tags: 645f666f9bcd5a90fca523b33c5a78b7
4 changes: 2 additions & 2 deletions _modules/composipy/core/material.html
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<head>
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<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<title>composipy.core.material &#8212; composipy 1.5.4 documentation</title>
<title>composipy.core.material &#8212; composipy 1.5.0 documentation</title>



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<p class="title logo__title">composipy 1.5.4 documentation</p>
<p class="title logo__title">composipy 1.5.0 documentation</p>

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4 changes: 2 additions & 2 deletions _modules/composipy/core/property.html
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<title>composipy.core.property &#8212; composipy 1.5.4 documentation</title>
<title>composipy.core.property &#8212; composipy 1.5.0 documentation</title>



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<p class="title logo__title">composipy 1.5.4 documentation</p>
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4 changes: 2 additions & 2 deletions _modules/composipy/core/strength.html
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<title>composipy.core.strength &#8212; composipy 1.5.4 documentation</title>
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<p class="title logo__title">composipy 1.5.4 documentation</p>
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4 changes: 2 additions & 2 deletions _modules/composipy/core/structure.html
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<title>composipy.core.structure &#8212; composipy 1.5.4 documentation</title>
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<p class="title logo__title">composipy 1.5.4 documentation</p>
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4 changes: 2 additions & 2 deletions _modules/composipy/nastranapi/pcomp_generator.html
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<title>composipy.nastranapi.pcomp_generator &#8212; composipy 1.5.4 documentation</title>
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<p class="title logo__title">composipy 1.5.4 documentation</p>
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4 changes: 2 additions & 2 deletions _modules/composipy/optimize/_maximize_buckling.html
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<title>composipy.optimize._maximize_buckling &#8212; composipy 1.5.4 documentation</title>
<title>composipy.optimize._maximize_buckling &#8212; composipy 1.5.0 documentation</title>



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<p class="title logo__title">composipy 1.5.4 documentation</p>
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4 changes: 2 additions & 2 deletions _modules/composipy/optimize/_minimize_panel_weight.html
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<title>composipy.optimize._minimize_panel_weight &#8212; composipy 1.5.4 documentation</title>
<title>composipy.optimize._minimize_panel_weight &#8212; composipy 1.5.0 documentation</title>



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<p class="title logo__title">composipy 1.5.4 documentation</p>
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4 changes: 2 additions & 2 deletions _modules/index.html
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<title>Overview: module code &#8212; composipy 1.5.4 documentation</title>
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<p class="title logo__title">composipy 1.5.4 documentation</p>
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var DOCUMENTATION_OPTIONS = {
URL_ROOT: document.getElementById("documentation_options").getAttribute('data-url_root'),
VERSION: '1.5.4',
VERSION: '1.5.0',
LANGUAGE: 'en',
COLLAPSE_INDEX: false,
BUILDER: 'html',
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<title>Index &#8212; composipy 1.5.4 documentation</title>
<title>Index &#8212; composipy 1.5.0 documentation</title>



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<p class="title logo__title">composipy 1.5.4 documentation</p>
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<title>Contents &#8212; composipy 1.5.4 documentation</title>
<title>Contents &#8212; composipy 1.5.0 documentation</title>



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<p class="title logo__title">composipy 1.5.4 documentation</p>
<p class="title logo__title">composipy 1.5.0 documentation</p>

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<title>Critical Buckling Examples With Varying Boundary Conditions &#8212; composipy 1.5.4 documentation</title>
<title>Critical Buckling Examples With Varying Boundary Conditions &#8212; composipy 1.5.0 documentation</title>



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<p class="title logo__title">composipy 1.5.4 documentation</p>
<p class="title logo__title">composipy 1.5.0 documentation</p>

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10 changes: 5 additions & 5 deletions notebooks/Critical_buckling_verification_study.html
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<head>
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<title>Critical Buckling Verification Study &#8212; composipy 1.5.4 documentation</title>
<title>Critical Buckling Verification Study &#8212; composipy 1.5.0 documentation</title>



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<p class="title logo__title">composipy 1.5.4 documentation</p>
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<div class="section" id="Simply-Supported-study-case-(SSSS)">
<h2>Simply Supported study case (SSSS)<a class="headerlink" href="#Simply-Supported-study-case-(SSSS)" title="Permalink to this heading">#</a></h2>
<p>This study case aims to verify the Rayleigh-Ritz implementation made with Composipy (Silva, R.P. 2023). Mathematical verification of the Rayleigh-Ritz implementation is made against analytical buckling equation and FEM model. The benchmarking example is a simply supported plate with biaxial load, which considers a quasi-isotropic layup [(45/-45)2/02/902]s and properties according Table below. This example came from Kassapoglou (2010).</p>
<p><img alt="90b51a770eea4751bf97c6c0c7a33b03" class="no-scaled-link" src="../_images/mechanical_prop_verification_problem.png" style="width: 400px; height: 200px;" /></p>
<p><img alt="09297766e2034b02b275656b2b9ddd06" class="no-scaled-link" src="../_images/mechanical_prop_verification_problem.png" style="width: 400px; height: 200px;" /></p>
<p>Dimension of the square plate is 100 mm and the load ratio (𝑁𝑦/𝑁𝑥) is 0.5. Analytical solution for this problem using Equation below is 234.7 N/mm.</p>
<div class="math notranslate nohighlight">
\[\lambda = \pi^2\frac{[D_{11}m^4 +2(D_{12}+2D_{66})m^2n^2(a/b)^2 + D_{22}n^4(a/b)^4 ]}{a^2 (m^2 + (N_{x}/N_{y}) n^2 (a/b)^2)}\]</div>
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<div class="section" id="Different-boundary-conditions">
<h2>Different boundary conditions<a class="headerlink" href="#Different-boundary-conditions" title="Permalink to this heading">#</a></h2>
<p>Table below extends the study for different boundary conditions in order to verify polynomial functions presented in section 2.1.3. The results are verified against a NASTRAN FEM model and the maximum difference is 0.7%. Table 6 presents the first buckling mode deformation shape.</p>
<p><img alt="84be93ac76f4491989719a289047a2f9" class="no-scaled-link" src="../_images/first_eigenvalue_BC.png" style="height: 150px;" /></p>
<p><img alt="0c2d5103510a4bafbd373959da303470" class="no-scaled-link" src="../_images/first_eigenvalue_BC.png" style="height: 150px;" /></p>
<div class="section" id="Clamped-study-case-(CCCC)">
<h3>Clamped study case (CCCC)<a class="headerlink" href="#Clamped-study-case-(CCCC)" title="Permalink to this heading">#</a></h3>
<div class="nbinput docutils container">
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</div>
<div class="section" id="Comparison-with-NASTRAN-deformed-shape">
<h3>Comparison with NASTRAN deformed shape<a class="headerlink" href="#Comparison-with-NASTRAN-deformed-shape" title="Permalink to this heading">#</a></h3>
<p><img alt="5647b1728fc54adda944146fc63e3973" class="no-scaled-link" src="../_images/Nastran_deformed.png" style="width: 600px;" /></p>
<p><img alt="a7ca028ec5074e63ada316d7de2b81dd" class="no-scaled-link" src="../_images/Nastran_deformed.png" style="width: 600px;" /></p>
</div>
</div>
<div class="section" id="References">
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<title>Optimization of a plate subjected to buckling loads &#8212; composipy 1.5.4 documentation</title>
<title>Optimization of a plate subjected to buckling loads &#8212; composipy 1.5.0 documentation</title>



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<p class="title logo__title">composipy 1.5.4 documentation</p>
<p class="title logo__title">composipy 1.5.0 documentation</p>

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<title>Stress Strain Calculation of a Laminate &#8212; composipy 1.5.4 documentation</title>
<title>Stress Strain Calculation of a Laminate &#8212; composipy 1.5.0 documentation</title>



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<p class="title logo__title">composipy 1.5.4 documentation</p>
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<title>Composipy Examples &#8212; composipy 1.5.4 documentation</title>
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<p class="title logo__title">composipy 1.5.4 documentation</p>
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<title>comparison with compmech &#8212; composipy 1.5.4 documentation</title>
<title>comparison with compmech &#8212; composipy 1.5.0 documentation</title>



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<p class="title logo__title">composipy 1.5.4 documentation</p>
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<title>Python Module Index &#8212; composipy 1.5.4 documentation</title>
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<title>Composipy &#8212; composipy 1.5.4 documentation</title>
<title>Composipy &#8212; composipy 1.5.0 documentation</title>



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<p class="title logo__title">composipy 1.5.4 documentation</p>
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<title>Nastran API functions &#8212; composipy 1.5.4 documentation</title>
<title>Nastran API functions &#8212; composipy 1.5.0 documentation</title>



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<p class="title logo__title">composipy 1.5.0 documentation</p>

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