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Topology optimization of non-linear elastic structures and compliant mechanisms

โœ Scribed by Tyler E. Bruns; Daniel A. Tortorelli

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
695 KB
Volume
190
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

A linear elastic response is assumed in most structural topology optimization problems. While this assumption is valid for a wide variety of problems, it is not valid for structures undergoing large displacements. The elastic structural analysis used here accommodates geometric and material non-linearities. The material density ยฎeld is ยฎltered to enforce a length scale on the ยฎeld variation and is penalized to remove less eective intermediate densities. The ยฎltering scheme is embedded in the structural analysis to resolve the non-existent solution to the solid-void topology problem. In this way, we know precisely what optimization problem is being solved. The structural topology optimization formulation is also used to design compliant mechanisms.

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## Abstract A method is developed to systematically remove and reintroduce low density elements from and into the finite element mesh on which the structural topology optimization problem is defined. The material density field which defines the topology and the local โ€˜stiffnessโ€™ of the structure is