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A subdomain-based parallel strategy for structural topology optimization

基于子区域的结构拓扑优化并行策略

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Abstract

Structural topology optimization has undergone tremendous developments in the past three decades. Making the most of high-performance computing resources contributes to broadening the application of topology optimization in large-scale design problems. In this paper, a subdomain-based parallel strategy is proposed for general three-dimensional topology optimization. The optimization process is significantly accelerated through subdomain division, matrix calculation, and hard-kill algorithm. This strategy is integrated into an efficient and compact Python code, which is valid for design space with an arbitrary shape. The complete code, given in Appendix 1, can be easily extended to tackle different kinds of optimization problems. Four compliance minimization problems are taken as examples to demonstrate the efficiency of the proposed strategy. This work has potential applications in areas such as mechanical engineering, advanced manufacturing, and architectural design.

摘要

结构拓扑优化在过去的三十年里经历了巨大的发展. 充分利用高性能计算资源有助于拓宽拓扑优化在大规模设计问题中的应 用. 本文提出了一种针对一般三维拓扑优化的基于子区域的并行策略. 通过子区域划分、矩阵运算、引入单元硬杀算法, 优化过程得 以显著提速. 将该策略整合进高效、简洁的Python代码; 该代码可适用于任意形状的设计域. 附录一中给出的完整代码, 易于扩展, 扩展 后可解决多类优化问题. 通过求解四个柔度最小化问题展示了该策略的高效性. 本研究在机械工程、先进制造, 以及建筑设计等领域 有潜在的应用价值.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 12272034, 11921002, and 12002184), the Fundamental Research Funds for the Central Universities (Grant No. 501LKQB2022105038), and the Australian Research Council (Grant Nos. DE200100887 and FL190100014).

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  1. The authors contributed equally to this work.

Authors and Affiliations

  1. Institute of Solid Mechanics, School of Aeronautic Science and Engineering, Beihang University, Beijing, 100191, China

    Zi-Long Zhao  (赵子龙)

  2. Centre for Innovative Structures and Materials, School of Engineering, RMIT University, Melbourne, 3001, Australia

    Yi Rong  (荣毅) & Yi Min Xie  (谢亿民)

  3. Department of Engineering Mechanics, MIIT Key Laboratory of Dynamics and Control of Complex Systems, Northwestern Polytechnical University, Xi’an, 710072, China

    Yi Yan  (燕翌)

  4. Institute of Biomechanics and Medical Engineering, Department of Engineering Mechanics, Tsinghua University, Beijing, 100084, China

    Xi-Qiao Feng  (冯西桥)

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  1. Zi-Long Zhao  (赵子龙)
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Contributions

Zi-Long ZhaoConceptualization, Methodology, Investigation, Formal analysis, Funding acquisition, Software, Supervision, Writing–original draft & review & editing . Yi Rong: Methodology, Investigation, Formal analysis, Software, Writing–original draft. Yi Yan: Writing–review & editing. Xi-Qiao Feng: Supervision, Writing–review & editing. Yi Min Xie: Supervision, Writing–review & editing.

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Correspondence to Zi-Long Zhao  (赵子龙).

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Zhao, ZL., Rong, Y., Yan, Y. et al. A subdomain-based parallel strategy for structural topology optimization. Acta Mech. Sin. 39, 422357 (2023). https://doi.org/10.1007/s10409-023-22357-x

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