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Explicit Topology Optimization with Moving Morphable Component (MMC) Introduction Mechanism

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Abstract

In this article, an explicit topology optimization approach with components-growing ability is proposed under the moving morphable component (MMC) framework. In this approach, the shape and topology layout of structures are explicitly optimized by growth evolution of moving morphable components. To this end, a competition criterion is developed to optimize the structural layout from two options: adding several new components or changing the current layout. In addition, some numerical technqiues are also developed to preserve the stability of the iterative process. The present topology optimization approach allows rational generation of new components and does not require a specific distribution of components in the initial design, which is compulsory for the conventional MMC method. Three numerical examples are provided to illustrate the effectiveness of the proposed method. The optimization results indicate that the proposed method does have the potential to improve the existing MMC-based explicit topology optimization framework by eliminating the initial design dependency of optimal solutions.

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Acknowledgements

The authors are grateful for the financial supports from the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (Grant No. 11821202), the National Natural Science Foundation of China (Grant Nos. 11872138, 11702048, 11732004, 11772076 and 12002073), the 111 Project (Grant No. B14013), the Young Elite Scientists Sponsorship Program by CAST (Grant No. 2018QNRC001), the Fundamental Research Funds for the Central Universities, China (DUT20RC(3)020, DUT21RC(3)076) and Dalian Talent Innovation Program (2020RQ099).

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, International Research Center for Computational Mechanics, Dalian University of Technology, Dalian, 116023, China

    Tianchen Cui, Zongliang Du, Chang Liu, Zhi Sun & Xu Guo

  2. Ningbo Institute of Dalian University of Technology, Ningbo, 315016, China

    Tianchen Cui, Zongliang Du, Chang Liu, Zhi Sun & Xu Guo

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  1. Tianchen Cui
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  2. Zongliang Du
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  3. Chang Liu
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  4. Zhi Sun
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  5. Xu Guo
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Correspondence to Zongliang Du or Xu Guo.

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Cui, T., Du, Z., Liu, C. et al. Explicit Topology Optimization with Moving Morphable Component (MMC) Introduction Mechanism. Acta Mech. Solida Sin. 35, 384–408 (2022). https://doi.org/10.1007/s10338-021-00308-x

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  • DOI: https://doi.org/10.1007/s10338-021-00308-x

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