Exploiting Group Symmetry in Truss Topology Optimization
CentER Discussion Paper Series No. 2007-17
19 Pages Posted: 13 May 2007
Date Written: February 2007
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: Suggested Citation