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Topology optimization utilizing inverse motion based form finding

Wallin, Mathias LU and Ristinmaa, Matti LU (2015) In Computer Methods in Applied Mechanics and Engineering 289(June). p.316-331
Abstract
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... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Topology optimization, Inverse motion form finding, Finite strains
in
Computer Methods in Applied Mechanics and Engineering
volume
289
issue
June
pages
316 - 331
publisher
Elsevier
external identifiers
  • wos:000352082400015
  • scopus:84924358775
ISSN
0045-7825
DOI
10.1016/j.cma.2015.02.015
language
English
LU publication?
yes
id
9ac74b6d-eb50-4133-86ba-8e2bfb5c70e2 (old id 5276295)
date added to LUP
2015-12-07 14:15:42
date last changed
2017-10-29 04:07:22
@article{9ac74b6d-eb50-4133-86ba-8e2bfb5c70e2,
  abstract     = {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.},
  author       = {Wallin, Mathias and Ristinmaa, Matti},
  issn         = {0045-7825},
  keyword      = {Topology optimization,Inverse motion form finding,Finite strains},
  language     = {eng},
  number       = {June},
  pages        = {316--331},
  publisher    = {Elsevier},
  series       = {Computer Methods in Applied Mechanics and Engineering},
  title        = {Topology optimization utilizing inverse motion based form finding},
  url          = {http://dx.doi.org/10.1016/j.cma.2015.02.015},
  volume       = {289},
  year         = {2015},
}