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Diverse competitive design for topology optimization

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Abstract

The traditional topology optimization method aims at finding the optimum design of material distribution. This paper explores the problem formulation and solving approaches to find multiple Diverse Competitive designs for Topology Optimization problem (DCTO). Diversity constraints are used to guarantee the difference between multiple designs. Three graphic diversity measures are presented to set the desired diversity. Four different topology optimization problems including the compliance minimization, the compliant mechanism problem, and the heat conduction problem are used to demonstrate the effectiveness of DCTO. We compare three types of DCTO algorithms for generating four designs and conclude the recommended algorithms. The ranges and effect of the diversity measures are discussed for helping select a reasonable diversity constraint to balance the performance and diversity. Threshold projection and length scale control are also available in the DCTO approach to get a binary solution and avoid small members and holes.

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Acknowledgements

This work was supported by the National Basic Research Program of China (2014CB049000), the National Natural Science Foundation of China (11372062 and 11402049). We thank Krister Svanberg for his MMA program made freely available for research purposes.

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Authors and Affiliations

  1. Department of Engineering Mechanics, State Key Laboratory of Structural Analysis for Industrial Equip, Dalian University of Technology, Dalian, 116024, China

    Bo Wang & Yan Zhou

  2. Shanghai Electric Windpower Group Corporation, Ltd., Shanghai, 200241, China

    Yiming Zhou

  3. School of Energy and Power Engineering, Dalian University of Technology, Dalian, 116024, China

    Shengli Xu

  4. School of Mechanical Engineering, Dalian University of Technology, Dalian, 116024, China

    Bin Niu

Authors
  1. Bo Wang
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  2. Yan Zhou
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  3. Yiming Zhou
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  4. Shengli Xu
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  5. Bin Niu
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Correspondence to Bo Wang.

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Wang, B., Zhou, Y., Zhou, Y. et al. Diverse competitive design for topology optimization. Struct Multidisc Optim 57, 891–902 (2018). https://doi.org/10.1007/s00158-017-1762-9

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  • DOI: https://doi.org/10.1007/s00158-017-1762-9

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