Exploiting Group Symmetry in Truss Topology Optimization

CentER Discussion Paper Series No. 2007-17

19 Pages Posted: 13 May 2007

See all articles by Yanqin Bai

Yanqin Bai

Shanghai University

Etienne de Klerk

Tilburg University

Dmitrii V. Pasechnik

Tilburg University - Center for Economic Research (CentER)

Renata Sotirov

Tilburg University - Tilburg University School of Economics and Management

Date Written: February 2007

Abstract

We consider semidefinite programming (SDP) formulations of certain truss topology optimization problems, where a lower bound is imposed on the fundamental fre-quency of vibration of the truss structure.These SDP formulations were introduced in: [M.Ohsaki, K.Fujisawa, N.Katoh and Y.Kanno, Semi-definite programming for topology optimization of trusses under multiple eigenvalue constraints, Comp.Meth.Appl.Mech.Engng., 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.

Keywords: truss topology optimization, semidefinite programming, group symmetry

JEL Classification: C60

Suggested Citation

Bai, Yanqin and de Klerk, Etienne and Pasechnik, Dmitrii V. and Sotirov, Renata, Exploiting Group Symmetry in Truss Topology Optimization (February 2007). Available at SSRN: https://ssrn.com/abstract=985910 or http://dx.doi.org/10.2139/ssrn.985910

Yanqin Bai (Contact Author)

Shanghai University ( email )

149 Yanchang Road
SHANGDA ROAD 99
Shanghai 200072, SHANGHAI 200444
China

Etienne De Klerk

Tilburg University ( email )

P.O. Box 90153
Tilburg, 5000 LE
Netherlands

Dmitrii V. Pasechnik

Tilburg University - Center for Economic Research (CentER) ( email )

P.O. Box 90153
Tilburg, 5000 LE
Netherlands

Renata Sotirov

Tilburg University - Tilburg University School of Economics and Management ( email )

P.O. Box 90153
Tilburg, 5000 LE
Netherlands

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