Symmetry and non-uniqueness in exact topology optimization of structures

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

Abstract

Symmetry and non-uniqueness principles play an important role in structural topology optimization. In this paper, they are discussed in the context of analytically derived leastweight trusses and grillages, but these concepts can be extended to other structures and also to numerical, discretized solutions. It is found that in general the optimal topology is unique and for problems with symmetric domain boundaries, loads and supports it is also symmetric. However, in a few exceptional cases the optimal topology is non-unique, and then we have an infinite number of topologies with the same minimum volume or weight, and some of these may be non-symmetric. The deeper reasons for the above findings are explained on the basis of the optimal layout theory of Prager and the author.

Original languageEnglish
Title of host publication13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference 2010
DOIs
Publication statusPublished - 2010
Event13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO 2010 - Ft. Worth, TX, United States
Duration: Sep 13 2010Sep 15 2010

Other

Other13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO 2010
CountryUnited States
CityFt. Worth, TX
Period9/13/109/15/10

Fingerprint

Shape optimization
Topology
Trusses
Structural optimization

ASJC Scopus subject areas

  • Aerospace Engineering
  • Mechanical Engineering

Cite this

Rozvany, G. (2010). Symmetry and non-uniqueness in exact topology optimization of structures. In 13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference 2010 https://doi.org/10.2514/6.2010-9097

Symmetry and non-uniqueness in exact topology optimization of structures. / Rozvany, G.

13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference 2010. 2010.

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

Rozvany, G 2010, Symmetry and non-uniqueness in exact topology optimization of structures. in 13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference 2010. 13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, MAO 2010, Ft. Worth, TX, United States, 9/13/10. https://doi.org/10.2514/6.2010-9097
Rozvany G. Symmetry and non-uniqueness in exact topology optimization of structures. In 13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference 2010. 2010 https://doi.org/10.2514/6.2010-9097
Rozvany, G. / Symmetry and non-uniqueness in exact topology optimization of structures. 13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference 2010. 2010.
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