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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 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">In this section, typical sensitivity-based topology optimization examples are described.</span>

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</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 = "The Crane Hook example shows the main optimization workflow. The other examples are based on this workflow and only explain additional settings." href = "tso-r-example-topo-ovSensTopoExamples.htm">Overview about the Sensitivity-Based Topology Optimization Examples</a></li><li><a title = "This example shows a sensitivity-based topology optimization minimizing the volume while keeping a displacement constraint." href = "tso-m-example-topo-sensAirbeamVol-sb.htm">AirbeamVol</a></li><li><a title = "With this example, the difference between the MINMAX formulation and the MIN formulation of an optimization problem is shown." href = "tso-m-example-topo-sensTopoBonnet-sb.htm">Bonnet</a></li><li><a title = "This example shows a stabilization feature for disappearing material when the optimization creates a mechanism." href = "tso-m-example-topo-sensTopoConnector-sb.htm">Connector</a></li><li><a title = "This example shows the basic workflow for a sensitivity-based topology optimization." href = "tso-m-example-topo-sensTopoCraneHook-sb.htm">Crane Hook</a></li><li><a title = "This example illustrates sensitivity-based topology optimization of a crankshaft where the the following demands are considered: low weight, certain bending and torsional stiffness as well as good behavior under centrifugal loading. The latter can be achieved with an optimized location of the gravity center (balanced design)." href = "tso-m-example-topo-sensTopoCrankshaft-sb.htm">Crankshaft</a></li><li><a title = "This example shows how to use the overhang restriction." href = "tso-m-example-topo-sensDoorhinge-sb.htm">Door Hinge</a></li><li><a title = "This example shows how to use Abaqus group operators for design responses." href = "tso-m-example-topo-sensGroupOper-sb.htm">Group Operator</a></li><li><a title = "The present example shows that the topology optimization by Tosca Structure can also use the internal forces as the design response." href = "tso-m-example-topo-sensTopoInternForce-sb.htm">Internal Forces</a></li><li><a title = "The present example shows that the topology optimization by Tosca Structure is also capable of performing a mechanism design. The object function is now different, here opposite, from the classic compliance formulation. The objective is now to maximize the displacement of a node for a given actuator force." href = "tso-m-example-topo-sensTopoMechanism-sb.htm">Mechanism</a></li><li><a title = "This example shows the basic workflow for a sensitivity-based topology optimization." href = "tso-m-example-topo-sens-Milling-sb.htm">Milling Restriction</a></li><li><a title = "This example shows the basic workflow for a sensitivity-based topology optimization." href = "tso-m-example-topo-sens-Mimp-sb.htm">MIMP Interpolation</a></li><li><a title = "The present example shows that the topology optimization by Tosca Structure is also capable of performing mode tracking on dynamic frequency analysis. The setup compared to a standard eigenfrequency analysis is the same. Except for the use of the mode tracking option, causing the optimizer to maintain the initial mode order even thought mode switching occurs." href = "tso-m-example-topo-sensTopoModetracking-sb.htm">Mode Tracking</a></li><li><a title = "This example shows how to set a thickness control using a minimum or maximum member size." href = "tso-m-example-topo-plate-sb.htm">Plate</a></li><li><a title = "Examples for the rib design feature." href = "tso-m-example-topo-sens-Rib-sb.htm">Rib Design</a></li><li><a title = "This example shows the reduction of intermediate densities on a frequency optimized pendulum." href = "tso-m-example-topo-sensTopoSolidVoid-sb.htm">Solid Void Post Strategy</a></li><li><a title = "This example shows the minimization of the volume with restrictions on the maximum von Mises stress illustrated with the example of a beam." href = "tso-m-example-topo-sensTopoStressCon-sb.htm">Stress Constraint</a></li><li><a title = "This example shows a sensitivity-based topology optimization using the Kreisselmeier-Steinhauser criterion." href = "tso-m-example-topo-sensTopoPlate-sb.htm">Symmetric Plate</a></li><li><a title = "The present example shows that the topology optimization by Tosca Structure is also able to consider the temperature loading. This example can be done using the CAE solvers Abaqus® and MSC Nastran®." href = "tso-m-example-topo-sensTopoTempLoad-sb.htm">Temperature Load</a></li><li><a title = "Examples for thermal optimization. These examples are only supported with Abaqus as solver." href = "tso-m-example-topo-sens-Thermal-sb.htm">Thermal</a></li></ul></td></tr></table></td></tr></table>



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