Symmetry of solutions in discrete and continuous structural topology optimization

J. N. Richardson, Sigrid M. Adriaenssens, Ph Bouillard, R. Filomeno Coelho

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

In this paper symmetry and asymmetry of optimal solutions in symmetric structural topology optimization problems are investigated, based on the choice of variables. A group theory approach is used to formally define the symmetry of the structural problems. This approach allows the set of symmetric structures to be described and related to the entire search space. It is shown that, given a symmetric problem with continuous variables, an optimal symmetric solution (if any) necessarily exists. However, it is shown that this does not hold for the discrete case. Finally a number of examples are investigated to demonstrate the findings of the research.

Original languageEnglish (US)
Title of host publicationProceedings of the 11th International Conference on Computational Structures Technology, CST 2012
PublisherCivil-Comp Press
Volume99
ISBN (Print)9781905088546
StatePublished - Jan 1 2012
Event11th International Conference on Computational Structures Technology, CST 2012 - Dubrovnik, Croatia
Duration: Sep 4 2012Sep 7 2012

Other

Other11th International Conference on Computational Structures Technology, CST 2012
CountryCroatia
CityDubrovnik
Period9/4/129/7/12

All Science Journal Classification (ASJC) codes

  • Environmental Engineering
  • Civil and Structural Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence

Keywords

  • Asymmetric topology
  • Group theory
  • Structural topology optimization
  • Symmetric topology
  • Symmetry operation
  • Truss topology optimization

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  • Cite this

    Richardson, J. N., Adriaenssens, S. M., Bouillard, P., & Filomeno Coelho, R. (2012). Symmetry of solutions in discrete and continuous structural topology optimization. In Proceedings of the 11th International Conference on Computational Structures Technology, CST 2012 (Vol. 99). Civil-Comp Press.