Exploiting group symmetry in truss topology optimization

  • Yanqin Bai
  • Etienne de Klerk
  • Renata Sotirov
  • Dmitrii V. Pasechnik
    • Categories Applications - Science and Engineering, Semi-definite Programming Tags , , Short URL: https://optimization-online.org/?p=10116

    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: [M. Ohsaki, K. Fujisawa, N. Katoh and Y. Kanno, Semi-definite programming for topology optimization of trusses under multiple eigenvalue constraints, Comp. Meth. Appl. Mech. Engng., 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.

    Citation

    CentER Discussion paper 2007-17, Tilburg University, The Netherlands, February 2007.

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