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Hole Appearance Constraint Method in 2D Structural Topology Optimization

Author

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  • Lei Zhu

    (Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun 130033, China
    School of Optoelectronics, University of Chinese Academy of Sciences, Beijing 100049, China)

  • Tongxing Zuo

    (Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun 130033, China
    School of Optoelectronics, University of Chinese Academy of Sciences, Beijing 100049, China)

  • Chong Wang

    (Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun 130033, China
    School of Optoelectronics, University of Chinese Academy of Sciences, Beijing 100049, China)

  • Qianglong Wang

    (Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun 130033, China
    School of Optoelectronics, University of Chinese Academy of Sciences, Beijing 100049, China)

  • Zhengdong Yu

    (Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun 130033, China
    School of Optoelectronics, University of Chinese Academy of Sciences, Beijing 100049, China)

  • Zhenyu Liu

    (Changchun Institute of Optics, Fine Mechanics and Physics (CIOMP), Chinese Academy of Sciences, Changchun 130033, China
    School of Optoelectronics, University of Chinese Academy of Sciences, Beijing 100049, China)

Abstract

A 2D topology optimization algorithm is proposed, which integrates the control of hole shape, hole number, and the minimum scale between holes through the utilization of an appearance target image. The distance between the structure and the appearance target image is defined as the hole appearance constraint. The appearance constraint is organized as inequality constraints to control the performance of the structure in an iterative optimization. Specifically, hole shapes are controlled by matching adaptable equivalent shape templates, the minimum scales between holes are controlled by a hole shrinkage strategy, and the hole number is controlled by a hole number calculation and filling method. Based on the SIMP interpolation topology optimization model, the effectiveness of the proposed method is verified through numerical examples.

Suggested Citation

  • Lei Zhu & Tongxing Zuo & Chong Wang & Qianglong Wang & Zhengdong Yu & Zhenyu Liu, 2024. "Hole Appearance Constraint Method in 2D Structural Topology Optimization," Mathematics, MDPI, vol. 12(17), pages 1-19, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2645-:d:1464218
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