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Adaptive chaotic particle swarm algorithm for isogeometric multi-objective size optimization of FG plates

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Abstract

An effective multi-objective optimization methodology that combines the isogeometric analysis (IGA) and adaptive chaotic particle swarm algorithm is presented for optimizing ceramic volume fraction (CVF) distribution of functionally graded plates (FGPs) under eigenfrequencies. The CVF distribution is represented by the B-spline basis function. Mechanical behaviors of FGPs are obtained with NURBS-based IGA and the recently developed simple first-order shear theory. The design variables are the CVFs at control points in the thickness direction, and the optimization objective is to minimize the mass of structure and maximize the first natural frequency. A recently developed multi-objective adaptive chaotic particle swarm algorithm with high efficiency is employed as an optimizer. All desirable features of the developed approach will be illustrated through four numerical examples, confirming its effectiveness and reliability.

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Acknowledgments

The authors would like to thank all the anonymous referees for their valuable comments and suggestions to further improve the quality of this work.

Funding

This work was supported by the National Natural Science Foundation of China (Grant No. 61375068) and the Fundamental Research Funds for the Central Universities (Grant No. 2018B48614).

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Authors and Affiliations

  1. Department of Engineering Mechanics, Hohai University, Nanjing, 211100, People’s Republic of China

    Chao Wang & Tiantang Yu

  2. Department of Mechanical Engineering, Anhui University of Technology, Ma’anshan, People’s Republic of China

    Chao Wang & Nenggang Xie

  3. Department of Mechanical Engineering, University of Sheffield, Sir Frederik Mappin, Mappin St, Sheffield, UK

    Jose L. Curiel-Sosa

  4. Institute for Research and Development, Duy Tan University, Da Nang City, Vietnam

    Tinh Quoc Bui

  5. Department of Civil and Environmental Engineering, Tokyo Institute of Technology, 2-12-1-W8-22, Ookayama, Meguro-ku, Tokyo, 152-8552, Japan

    Tinh Quoc Bui

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  1. Chao Wang
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  4. Nenggang Xie
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  5. Tinh Quoc Bui
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Correspondence to Tiantang Yu or Tinh Quoc Bui.

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Wang, C., Yu, T., Curiel-Sosa, J.L. et al. Adaptive chaotic particle swarm algorithm for isogeometric multi-objective size optimization of FG plates. Struct Multidisc Optim 60, 757–778 (2019). https://doi.org/10.1007/s00158-019-02238-2

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