### 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 |
---|---|

Pages (from-to) | 331-349 |

Journal | Optimization and Engineering |

Volume | 10 |

Issue number | 3 |

Publication status | Published - 2009 |

## Fingerprint Dive into the research topics of 'Exploiting group symmetry in truss topology optimization'. Together they form a unique fingerprint.

## Cite this

Bai, Y. Q., de Klerk, E., Pasechnik, D. V., & Sotirov, R. (2009). Exploiting group symmetry in truss topology optimization.

*Optimization and Engineering*,*10*(3), 331-349.