Exploiting group symmetry in truss topology optimization

Exploiting group symmetry in truss topology optimization

We consider semidefinite programming (SDP) formulations of certain truss topology optimization problems, where a lower bound is imposed on the fundamental frequency of vibration of the truss structure. These SDP formulations were introduced in Ohsaki et al. (Comp. Meth. Appl. Mech. Eng. 180:203–217,...

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Main Authors: Bai, Yanqin, Etienne, Klerk de, Pasechnik, Dmitrii V., Sotirov, Renata
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/94851
http://hdl.handle.net/10220/9188
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-948512023-02-28T19:24:28Z Exploiting group symmetry in truss topology optimization Bai, Yanqin Etienne, Klerk de Pasechnik, Dmitrii V. Sotirov, Renata School of Physical and Mathematical Sciences We consider semidefinite programming (SDP) formulations of certain truss topology optimization problems, where a lower bound is imposed on the fundamental frequency of vibration of the truss structure. These SDP formulations were introduced in Ohsaki et al. (Comp. Meth. Appl. Mech. Eng. 180:203–217, 1999).We show how one may automatically obtain symmetric designs, by eliminating the ‘redundant’ symmetry in the SDP problem formulation. This has the advantage that the original SDP problem is substantially reduced in size for trusses with large symmetry groups. Published version 2013-02-20T05:37:28Z 2019-12-06T19:03:21Z 2013-02-20T05:37:28Z 2019-12-06T19:03:21Z 2008 2008 Journal Article Bai, Y., Klerk, E. d., Pasechnik, D., & Sotirov, R. (2008). Exploiting group symmetry in truss topology optimization. Optimization and Engineering, 10(3), 331-349. https://hdl.handle.net/10356/94851 http://hdl.handle.net/10220/9188 10.1007/s11081-008-9050-6 en Optimization and engineering © 2008 The Author(s). This article is published with open access at Springerlink.com application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
description We consider semidefinite programming (SDP) formulations of certain truss topology optimization problems, where a lower bound is imposed on the fundamental frequency of vibration of the truss structure. These SDP formulations were introduced in Ohsaki et al. (Comp. Meth. Appl. Mech. Eng. 180:203–217, 1999).We show how one may automatically obtain symmetric designs, by eliminating the ‘redundant’ symmetry in the SDP problem formulation. This has the advantage that the original SDP problem is substantially reduced in size for trusses with large symmetry groups.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Bai, Yanqin
Etienne, Klerk de
Pasechnik, Dmitrii V.
Sotirov, Renata
format Article
author Bai, Yanqin
Etienne, Klerk de
Pasechnik, Dmitrii V.
Sotirov, Renata
spellingShingle Bai, Yanqin
Etienne, Klerk de
Pasechnik, Dmitrii V.
Sotirov, Renata
Exploiting group symmetry in truss topology optimization
author_sort Bai, Yanqin
title Exploiting group symmetry in truss topology optimization
title_short Exploiting group symmetry in truss topology optimization
title_full Exploiting group symmetry in truss topology optimization
title_fullStr Exploiting group symmetry in truss topology optimization
title_full_unstemmed Exploiting group symmetry in truss topology optimization
title_sort exploiting group symmetry in truss topology optimization
publishDate 2013
url https://hdl.handle.net/10356/94851
http://hdl.handle.net/10220/9188
_version_ 1759854163397705728

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