Topology optimization utilizing inverse motion based form finding
(2015) In Computer Methods in Applied Mechanics and Engineering 289(June). p.316331 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:
http://lup.lub.lu.se/record/5276295
 author
 Wallin, Mathias ^{LU} and Ristinmaa, Matti ^{LU}
 organization
 publishing date
 2015
 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
 00457825
 DOI
 10.1016/j.cma.2015.02.015
 language
 English
 LU publication?
 yes
 id
 9ac74b6deb50413386ba8e2bfb5c70e2 (old id 5276295)
 date added to LUP
 20151207 14:15:42
 date last changed
 20180529 10:38:37
@article{9ac74b6deb50413386ba8e2bfb5c70e2, 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 = {00457825}, keyword = {Topology optimization,Inverse motion form finding,Finite strains}, language = {eng}, number = {June}, pages = {316331}, 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}, }