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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>Sensitivity-Based Bead Optimization</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 bead optimization method that is based on gradient information
is described in this chapter.</span>

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<p>Sensitivity-based bead optimization (BEAD_SENSITIVITY) makes it possible
to define very complex optimization tasks. It has been shown in industrial
size examples that the method is very powerful and attractive, especially
for dynamic problems.</p>
<p>The typical problems which can be solved by this algorithm are:</p>
<ul class = "ul">
<li class = "li">Maximize stiffness (linear static)</li>
<li class = "li">Minimize displacement for critical nodes (linear static)</li>
<li class = "li">Maximize the first eigenvalue (modal)</li>
<li class = "li">Maximize a certain eigenvalue (using mode tracking)</li>
<li class = "li">Move eigenvalues away from certain frequency  (band gap optimization
with modal analysis)</li>

</ul>
<p><table class = "Remark" id = "table132"><tr><td class = "Remark"><span class = "run-in.important">Important:
				</span><span class = "notecontent"><ul class = "ul">
<li class = "li">The sensitivity-based algorithm has no bead filter implemented. This
means that the results are not necessarily a distinct bead pattern like
the results from the controller algorithm.</li>
<li class = "li">Design nodes must be connected to elements which are supported by
<span class = "ph">SIMULIA Tosca Structure</span>.
For more information, see <a class = "xref" href = "tso-c-usr-bead-designArea-desVar.htm#tso-c-usr-bead-designArea-desVar" title = "Design variables that are usable in bead optimization setups are introduced. Valid are all nodes of shell elements.">Design Variables (DV_BEAD)</a>.</li>
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