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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> Topology 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 = "Intro1"><p class = "header"><p class = "abstract">
    <span class = "shortdesc">At the beginning of the conventional design process, the design
engineer often defines the shape and the topology of new components
using the experience and the results gained from existing designs. This
results in an evolution process that might lead to an optimum design
after several manual design iterations and a long process development
time. Nowadays it is necessary to shorten the development process of
new components, and at the same time develop fundamentally new designs.
Therefore, optimization tools are necessary for replacing the natural
evolution process by an automatic procedure. With <span class = "ph">SIMULIA Tosca Structure</span>,
it is possible to carry out topology and shape optimization in the existing
CAE environment.</span>
<p>Topology optimization is a tool to generate a new design proposal
and is often used within the concept phase for determining a new conceptual
design for a component.</p>
  </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 = "Topology optimization is a tool to generate a new design proposal and is often used within the concept phase for determining a new conceptual design for a component." href = "tso-c-user-TopOpt-GenInf.htm">General Information about Topology Optimization</a></li><li><a title = "In Tosca Structure, two principle algorithms exist for solving topology optimization problems: The controller-based optimality criteria approach and the general, sensitivity-based approach." href = "tso-c-user-TopOpt-OptTask-ContrVSSens.htm">Controller- Versus Sensitivity-Based Topology Optimization</a></li><li><a title = "During an optimization, only part of the model might be changed. This part is defined as the design area." href = "tso-m-user-TopOpt-DesArea-sb.htm">Design Area</a></li><li><a title = "The objective function describes the optimization target. In general, one scalar value (sometimes combined from other scalars) is to be maximized or minimized." href = "tso-c-user-TopOpt-ObjFun.htm">Objective Function</a></li><li><a title = "Constraints are fundamental parts of the definition for an optimization task. The purpose of having constraints is to ensure that the optimized design is feasible." href = "tso-c-user-TopOpt-Con.htm">Constraints</a></li><li><a title = "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." href = "tso-m-user-TopOpt-StaAna-sb.htm">Typical Optimization Tasks for Static Analysis</a></li><li><a title = "Within modal analysis structural optimization can be used to manipulate the eigenfrequency spectrum. Possible optimization tasks are discussed in this chapter." href = "tso-m-user-TopOpt-ModAna-sb.htm">Typical Optimization Tasks for Modal Analysis</a></li><li><a title = "Topology optimization is well established for linear models. Whereas in the context of nonlinear structural analysis, topology optimization is less robust, often failing due to solver convergence issues. Therefore, a proper optimization setup is required. Within this section, guidelines are presented in order to build stable optimization setup for topology optimization. In addition, these guidelines can assist the user to address the issues during the optimization run." href = "tso-m-user-TopOpt-NonLin-sb.htm">Optimization of Structures with Nonlinear Behavior</a></li><li><a title = "There are different settings available to control the speed and convergence behavior of the topology optimization algorithms. Default values are available, which have been tried and tested on many occasions. Other algorithm settings for the various optimization algorithms can be selected using the OPT_PARAM command." href = "tso-m-user-TopOpt-Sett-sb.htm">Settings for Topology Optimization</a></li><li><a title = "Stop conditions are necessary to ensure that the optimization terminates. These stop criteria can either simply allow a certain number of loops or depend on the convergence behavior of the optimization." href = "tso-m-user-TopOpt-StopCond-sb.htm">Stop Condition</a></li><li><a title = "References used in this chapter." href = "tso-c-user-TopOpt-References.htm">References</a></li></ul></td></tr></table></td></tr></table>

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