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Exploiting group symmetry in truss topology optimization

Bai, Yanqin / Klerk, Etienne / Pasechnik, Dmitrii / Sotirov, Renata

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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Exploiting group symmetry in truss topology optimization

Bai, Yanqin / Klerk, Etienne / Pasechnik, Dmitrii / Sotirov, Renata

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.

Exploiting group symmetry in truss topology optimization

Bai, Yanqin / Klerk, Etienne / Pasechnik, Dmitrii / Sotirov, Renata

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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Title:

Exploiting group symmetry in truss topology optimization

Contributors:

Bai, Yanqin (author) / Klerk, Etienne (author) / Pasechnik, Dmitrii (author) / Sotirov, Renata (author)

Published in:

Optimization and Engineering ; 10 ; 331-349

Publication date:

2008-06-17

Size:

19 pages

ISSN:

1573-2924 , 1389-4420

DOI:

https://doi.org/10.1007/s11081-008-9050-6

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Truss topology optimization , Semidefinite programming , Group symmetry Mathematics , Optimization , Engineering, general , Systems Theory, Control , Environmental Management , Operation Research/Decision Theory , Financial Engineering

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