Exploiting group symmetry in truss topology optimization

Y.Q. Bai, E. de Klerk, D.V. Pasechnik, R. Sotirov

Research output: Contribution to journalArticleScientificpeer-review

Abstract

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.
Original languageEnglish
Pages (from-to)331-349
JournalOptimization and Engineering
Volume10
Issue number3
Publication statusPublished - 2009

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Trusses
Semidefinite Programming
Topology Optimization
Shape optimization
Symmetry Group
Formulation
Truss Structures
Symmetric Design
Fundamental Frequency
Vibration
Lower bound
Optimization Problem
Symmetry

Cite this

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Exploiting group symmetry in truss topology optimization. / Bai, Y.Q.; de Klerk, E.; Pasechnik, D.V.; Sotirov, R.

In: Optimization and Engineering, Vol. 10, No. 3, 2009, p. 331-349.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Exploiting group symmetry in truss topology optimization

AU - Bai, Y.Q.

AU - de Klerk, E.

AU - Pasechnik, D.V.

AU - Sotirov, R.

N1 - Appeared earlier as CentER Discussion Paper 2007-17

PY - 2009

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N2 - 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.

AB - 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.

M3 - Article

VL - 10

SP - 331

EP - 349

JO - Optimization and Engineering

JF - Optimization and Engineering

SN - 1389-4420

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