Exploiting group symmetry in truss topology optimization

Yanqin Bai; Etienne de Klerk; Dmitrii Pasechnik; Renata Sotirov

doi:10.1007/s11081-008-9050-6

Exploiting group symmetry in truss topology optimization

Yanqin Bai, Etienne de Klerk^*, Dmitrii Pasechnik, Renata Sotirov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

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 language	English (US)
Pages (from-to)	331-349
Number of pages	19
Journal	Optimization and Engineering
Volume	10
Issue number	3
DOIs	https://doi.org/10.1007/s11081-008-9050-6
State	Published - 2009
Externally published	Yes

Funding

Acknowledgements The first author kindly acknowledges support of the National Science Foundation of China (No. 10771133) and the program of Shanghai Pujiang (No. 06PJ14039).

Keywords

Group symmetry
Semidefinite programming
Truss topology optimization

ASJC Scopus subject areas

Software
Civil and Structural Engineering
Aerospace Engineering
Mechanical Engineering
Control and Optimization
Electrical and Electronic Engineering

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10.1007/s11081-008-9050-6

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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.",

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AU - Bai, Yanqin

AU - de Klerk, Etienne

AU - Pasechnik, Dmitrii

AU - Sotirov, Renata

PY - 2009

Y1 - 2009

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.

KW - Group symmetry

KW - Semidefinite programming

KW - Truss topology optimization

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Exploiting group symmetry in truss topology optimization

Abstract

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Keywords

ASJC Scopus subject areas

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