### Abstract

Original language | English |
---|---|

Pages (from-to) | 331-349 |

Journal | Optimization and Engineering |

Volume | 10 |

Issue number | 3 |

Publication status | Published - 2009 |

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### Cite this

*Optimization and Engineering*,

*10*(3), 331-349.

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*Optimization and Engineering*, vol. 10, no. 3, pp. 331-349.

**Exploiting group symmetry in truss topology optimization.** / Bai, Y.Q.; de Klerk, E.; Pasechnik, D.V.; Sotirov, R.

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

TY - JOUR

T1 - Exploiting group symmetry in truss topology optimization

AU - Bai, Y.Q.

AU - de Klerk, E.

AU - Pasechnik, D.V.

AU - Sotirov, R.

N1 - Appeared earlier as CentER Discussion Paper 2007-17

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.

M3 - Article

VL - 10

SP - 331

EP - 349

JO - Optimization and Engineering

JF - Optimization and Engineering

SN - 1389-4420

IS - 3

ER -