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Topology optimization utilizing inverse motion based form finding

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Author

Summary, in English

Topology optimization at finite strain setting using the concept of inverse motion based form finding is introduced. This novel procedure allows boundary conditions and shape of the structure in the operating, deformed, state to be prescribed. The outcome of the optimization algorithm will be the shape of the undeformed structure, i.e. the state in which the structure should be manufactured. The objective of the optimization considered is to find the stiffest structure for a given amount of material. The problem is regularized using a Helmholtz filter which is formulated in the deformed configuration. Both the elastic boundary value problem and the partial differential equation associated with the Helmholtz filter are solved using the finite element method. The optimization problem is solved using a sequence of convex separable approximations. The paper is closed by 2D as well as 3D numerical examples that clearly illustrates that the method is able to find optimal solutions for inverse motion finite strain topology optimization problems.

Department/s

Publishing year

2015

Language

English

Pages

316-331

Publication/Series

Computer Methods in Applied Mechanics and Engineering

Volume

289

Issue

June

Document type

Journal article

Publisher

Elsevier

Topic

  • Mechanical Engineering

Keywords

  • Topology optimization
  • Inverse motion form finding
  • Finite strains

Status

Published

ISBN/ISSN/Other

  • ISSN: 0045-7825