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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>Weight Overview</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 weight term is the same as the volume term except you
have the possibility of constraining your optimization result to have
a certain physical weight.</span>

</p>
<ul><li><a href = "#tso-c-usr-terms-weight__tso-c-usr-terms-weight-anaType" id = "toc_rg" title = "">Analysis-Independent Design Response </a></li></ul>
</p></td></tr></table></td></tr></table>




<div class = "body conbody">
<table class = "table" id = "tso-c-usr-terms-weight__xx945087"><caption/><colgroup><col/><col/></colgroup><thead class = "thead">
<tr class = "row">
<th class = "entry" id = "tso-c-usr-terms-weight__xx945087__entry__1"><p>Parameter Name</p></th>
<th class = "entry" id = "tso-c-usr-terms-weight__xx945087__entry__2"><p>Formula</p></th>
</tr>
</thead><tbody class = "tbody">
<tr class = "row">
<td class = "entry" headers = "tso-c-usr-terms-weight__xx945087__entry__1"><p>WEIGHT</p></td>
<td class = "entry" headers = "tso-c-usr-terms-weight__xx945087__entry__2">
<span class = "ph inlineequation">
<math class = "- topic/foreign ">
<mo class = "- topic/foreign ">∑</mo>
<msub class = "- topic/foreign ">
<mrow class = "- topic/foreign ">
<mi class = "- topic/foreign ">W</mi>
</mrow>
<mrow class = "- topic/foreign ">
<mi class = "- topic/foreign ">e</mi>
</mrow>
</msub>
</math>
</span>
</td>
</tr>
</tbody></table>

<p>where <span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><msub class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">W</mi></mrow><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">e</mi></mrow></msub></mrow></math></span> is the element weight.
For topology optimization, design elements are scaled with the current
relative density.</p>
<div class = "section" id = "tso-c-usr-terms-weight__tso-c-usr-terms-weight-anaType"><h2 class = "title sectiontitle">Analysis-Independent Design Response </h2>

<p>For the weight, the following table shows the allowed combinations
between the strategy and the items <code class = "ph codeph">OBJ_FUNC</code> and <code class = "ph codeph">CONSTRAINT</code>
with C for controller and S for sensitivity-based optimization. </p>
<table class = "table" id = "tso-c-usr-terms-weight__xx945107"><caption/><colgroup><col/><col/><col/><col/><col/></colgroup><thead class = "thead">
<tr class = "row">
<th class = "entry" id = "tso-c-usr-terms-weight__xx945107__entry__1"/>
<th class = "entry" id = "tso-c-usr-terms-weight__xx945107__entry__2"><p>TOPO</p></th>
<th class = "entry" id = "tso-c-usr-terms-weight__xx945107__entry__3"><p>SHAPE</p></th>
<th class = "entry" id = "tso-c-usr-terms-weight__xx945107__entry__4"><p>BEAD</p></th>
<th class = "entry" id = "tso-c-usr-terms-weight__xx945107__entry__5"><p>SIZING</p></th>
</tr>
</thead><tbody class = "tbody">
<tr class = "row">
<td class = "entry" headers = "tso-c-usr-terms-weight__xx945107__entry__1"><p>OBJ_FUNC</p></td>
<td class = "entry" headers = "tso-c-usr-terms-weight__xx945107__entry__2"><p>C, S</p></td>
<td class = "entry" headers = "tso-c-usr-terms-weight__xx945107__entry__3"><p>C, S</p></td>
<td class = "entry" headers = "tso-c-usr-terms-weight__xx945107__entry__4"/>
<td class = "entry" headers = "tso-c-usr-terms-weight__xx945107__entry__5"><p>S</p></td>
</tr>
<tr class = "row">
<td class = "entry" headers = "tso-c-usr-terms-weight__xx945107__entry__1"><p>CONSTRAINT</p></td>
<td class = "entry" headers = "tso-c-usr-terms-weight__xx945107__entry__2"><p>S</p></td>
<td class = "entry" headers = "tso-c-usr-terms-weight__xx945107__entry__3"><p>C, S</p></td>
<td class = "entry" headers = "tso-c-usr-terms-weight__xx945107__entry__4"/>
<td class = "entry" headers = "tso-c-usr-terms-weight__xx945107__entry__5"><p>S</p></td>
</tr>
</tbody></table>

<p>The weight term is the same as the volume term except you have the
possibility of constraining your optimization result to have a certain
physical weight. <span class = "ph">SIMULIA Tosca Structure</span>
requires that the density of all elements is defined in the input file.
In addition, only supported element types are used in the weight calculation.</p>
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