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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 Beam2D 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 = "shortdesc">
    This example shows the main workflow for sizing optimization.

  <p>This page discusses: </p><ul><li><a href = "#tso-c-example-sizing-beam2D__cs-model" id = "toc_rg" title = "">About the Model</a></li><li><a href = "#tso-c-example-sizing-beam2D__cs-ProcedureSummary" id = "toc_rg" title = "">Procedure Summary</a></li></ul>
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    <div class = "section" id = "tso-c-example-sizing-beam2D__cs-model"><h2 class = "title sectiontitle">About the Model</h2>
    In this model, a bending beam is fixed on the left side with a
corresponding force on the right side. All nodes on the left side
of the model are fixed in x-and y-direction. A force of 10N is applied in the middle node of
the right side in a negative direction of the y-axis.



<p>
<br/><img class = "image" src = "../TsoExampleImages/sizingBeam2DModel.png"/><br/></p><p>The sizing optimization task is to maximize the stiffness using 50%
of the initial volume. The shell thicknesses are to be changed
during the optimization and might vary between a lower bound of 0.1
and an upper bound of 2.0. Two optimization tasks can be run - the
first changing with a free change of the shell sizes, the second
clustering element areas with the same shell thickness.
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<div class = "section" id = "tso-c-example-sizing-beam2D__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">beam2d.ext
</td></tr><tr class = "row"><td class = "entry">Design Area:</td><td class = "entry">All elements
</td></tr><tr class = "row"><td class = "entry">Design Variable Constraint:</td><td class = "entry">Lower and upper bound for shell thicknesses (0.1 and 2.0,
respectively)
</td></tr><tr class = "row"><td class = "entry">Objective:</td><td class = "entry">Maximize stiffness
</td></tr><tr class = "row"><td class = "entry">Constraint:</td><td class = "entry">Relative volume of 50 % (inequality constraint)
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