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<a name = "hj-top"> </a><table class = "table1" id = "table11"><tr><td><table class = "DocHeader"><tr><td class = "DocHeader1" colspan = "2"><h1>About the Bending Plate Example</h1></td></tr><tr><td class = "DocHeader4" colspan = "2"/></tr><tr><td class = "DocHeader3" colspan = "2"><table class = "DocThemeIntro" id = "table12"><tr><td class = "Intro1Only"><p class = "header"><p class = "abstract"> 
<span class = "shortdesc"> The actual model shows the main parts of a sizing optimization
task: Definition of design variables, constraints, and objective function. 
</span>
 
</p>
<p>This page discusses: </p><ul><li><a href = "#tso-c-example-sizing-NlPlate__cs-model" id = "toc_rg" title = "">About the Model</a></li><li><a href = "#tso-c-example-sizing-NlPlate__cs-ProcedureSummary" id = "toc_rg" title = "">Procedure Summary</a></li><li><a href = "#tso-c-example-sizing-NlPlate__" id = "toc_rg" title = "">See Also</a></li></ul>
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<div class = "section" id = "tso-c-example-sizing-NlPlate__cs-model"><h2 class = "title sectiontitle">About the Model</h2> 
 
In this model, a clustered plate is
encastered on the left side with two forces on the right side. One load of L= 2
N per node in negative Z-direction for all nodes and another load L/10 N per
node in positive X-direction onto the nodes of the outer thirds. 
<p> <br/><img class = "image" src = "../TsoExampleImages/sizingBendPlateModel.png" width = "454"/><br/> </p> 
<p> In this example, it will be shown how the differences of linear and
nonlinear kinematics (NLGEOM=OFF/ON) affect the optimization results. The
sizing optimization task is to minimize the displacement of the right nodes in
X-direction while using 90% of the initial volume. By default, the shell
thicknesses are allowed to change up to 25% of the initial thickness and is
changed for each element cluster. Within a cluster, the elements will have the
same thickness. 
</p> 
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<div class = "section" id = "tso-c-example-sizing-NlPlate__cs-ProcedureSummary"><p><map name = "FPMap1"><area href = "#hj-top" title = "Back to Top" shape = "rect" coords = "416, 0, 435, 10"/></map><span class = "itemsprite"/></p><h2 class = "title sectiontitle">Procedure Summary</h2> 
 
<p> 
<table class = "table"><caption/><colgroup><col style = "width:13.071895424836603%"/><col style = "width:86.9281045751634%"/></colgroup><tbody class = "tbody"> 
<tr class = "row"> 
<td class = "entry">Model: </td> 
<td class = "entry"> Bending_Plate_NL, Bending_Plate_LIN </td> 
</tr> 
<tr class = "row"> 
<td class = "entry">Design Area: </td> 
<td class = "entry"> All elements </td> 
</tr> 
<tr class = "row"> 
<td class = "entry">Objective: </td> 
<td class = "entry"> Minimize displacement in X-direction of
the nodes of the right edge </td> 
</tr> 
<tr class = "row"> 
<td class = "entry">Constraint: </td> 
<td class = "entry"> Relative volume of less or equal 90% </td> 
</tr> 
</tbody></table> 
</p> 
</div>
 
<div class = "section"><p><map name = "FPMap1"><area href = "#hj-top" title = "Back to Top" shape = "rect" coords = "416, 0, 435, 10"/></map><span class = "itemsprite"/></p><h2 class = "title sectiontitle">See Also</h2> 

A detailed explanation of the effects of geometric nonlinearities can be found in the 
<span class = "ph">SIMULIA Tosca Structure</span> User Guide (see 
<a class = "xref" href = "../TsoUserMap/tso-c-usr-sizing-NonLin-Effects-Geom.htm#tso-c-usr-sizing-NonLin-Effects-Geom" title = "This section describes the effects of geometric nonlinearities that are taken into account during a structural analysis when using NLGEOM=ON. The effects are shown using examples that are in the Tosca Structure Examples Guide.">Effects of Geometric Nonlinearities</a>). 
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