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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>Typical Optimization Tasks for Static Analysis</h1></td></tr><tr><td class = "DocHeader4" colspan = "2"/></tr><tr><td class = "DocHeader3" colspan = "2"><table class = "DocThemeIntro" id = "table12"><tr><td class = "Intro1"><p class = "header"><p class = "abstract">
<span class = "shortdesc">This section deals with the typical optimization tasks for
the static, nonlinear static, and temperature static analysis types. Only
some very common tasks are described here; for complex optimization tasks,
it is useful and necessary to combine, for example, the static compliance as
the objective with the displacement constraints and modal frequency constraints
resulting from a modal analysis.</span>

</p>

</p><hr class = "header"/></td></tr><tr><td class = "Intro2"><span class = "run-in">In this section:</span><br/><ul class = "ulthemes"><li><a title = "This standard optimization task corresponding to maximizing the stiffness is defined as the minimization of the compliance that is the reciprocal value of the stiffness." href = "tso-t-user-TopOpt-StaAna-MinComplVolCon.htm">Minimizing Compliance under Volume Constraint</a></li><li><a title = "Aim of this optimization task is to get a structure with a minimum deflection or rotation. In case that the displacement at a node with a load is to be minimized, the problem is identical to the maximization of the stiffness." href = "tso-m-user-TopOpt-StaAna-MinDispVolCon-sb.htm">Minimizing Displacement / Rotation under Volume Constraint</a></li><li><a title = "Aim of this optimization task is to obtain the structure with maximal stiffness subject to the constraint on the difference of the displacements of two nodes." href = "tso-m-user-TopOpt-StaAna-DiffDisp-sb.htm">Defining Constraint for Difference between two Displacements</a></li><li><a title = "The aim of this optimization is to minimize the internal force of spot-weld elements. Both the relative material volume constraint and a displacement constraint are used." href = "tso-m-user-TopOpt-StaAna-MinRF-sb.htm">Minimizing a Reaction or Internal Force</a></li><li><a title = "You can minimize structural volume taking some displacement constraints into account." href = "tso-c-user-TopOpt-StaAna-MinVolDispCon.htm">Minimizing the Volume under Displacement Constraint</a></li><li><a title = "Within this section, an example is presented where the maximum stress is minimized under a volume constraint." href = "tso-c-user-TopOpt-StaAna-MinMaxSVolCon.htm">Minimizing the Maximum Stress with Volume Constraint</a></li><li><a title = "Within this section, an example is presented where the material volume is minimized under a stress constraint." href = "tso-c-user-TopOpt-StaAna-MinVolSCon.htm">Minimizing the Material Volume with Stress Constraint</a></li></ul></td></tr></table></td></tr></table>


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