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:
https://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
- 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
- 2016-04-01 15:05:19
- date last changed
- 2022-03-30 00:26:17
@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}},
keywords = {{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}},
doi = {{10.1016/j.cma.2015.02.015}},
volume = {{289}},
year = {{2015}},
}