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Title: Exploiting group symmetry in truss topology optimization
Authors: Bai, Yanqin
Etienne, Klerk de
Pasechnik, Dmitrii V.
Sotirov, Renata
Issue Date: 2008
Source: Bai, Y., Klerk, E. d., Pasechnik, D., & Sotirov, R. (2008). Exploiting group symmetry in truss topology optimization. Optimization and Engineering, 10(3), 331-349.
Series/Report no.: Optimization and engineering
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.
Rights: © 2008 The Author(s). This article is published with open access at
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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