Topology optimization utilizing inverse motion based form finding
Författare
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.
Avdelning/ar
Publiceringsår
2015
Språk
Engelska
Sidor
316-331
Publikation/Tidskrift/Serie
Computer Methods in Applied Mechanics and Engineering
Volym
289
Issue
June
Dokumenttyp
Artikel i tidskrift
Förlag
Elsevier
Ämne
- Mechanical Engineering
Nyckelord
- Topology optimization
- Inverse motion form finding
- Finite strains
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0045-7825