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Discussion on symmetry of optimum topology design

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Abstract

Recent study by Rozvany discussed an important topic in structural topology optimization: non-uniqueness and symmetry. This paper demonstrates that for the frame topology optimization with frequency objective or frequency constraints, the topology optimum is not symmetric even when the geometry, material distribution and ground structure are symmetric. Two benchmark examples with fundamental frequency constraints support our view. Nonlinear and non-convex constraints are contributors to non-symmetric optimum solution for the class of topology optimization problems considered here.

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Acknowledgement

This research was supported by the National Natural Foundation of China (50878038 and 90816025).

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, China

    Gengdong Cheng & Xiaofeng Liu

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  1. Gengdong Cheng
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  2. Xiaofeng Liu
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Correspondence to Xiaofeng Liu.

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Cheng, G., Liu, X. Discussion on symmetry of optimum topology design. Struct Multidisc Optim 44, 713–717 (2011). https://doi.org/10.1007/s00158-011-0686-z

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  • DOI: https://doi.org/10.1007/s00158-011-0686-z

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