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Evidence-theory-based reliability design optimization with parametric correlations

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Abstract

Parametric correlation exists widely in engineering problems. This paper presents an approach of evidence-theory-based design optimization (EBDO) with parametric correlations, which provides an effective computational tool for the structural reliability design involving epistemic uncertainties. According to the existing samples, the most fitting copula function is selected to formulate the joint basic probability assignment (BPA) of the correlated variables. The joint BPA is applied in the constraint reliability analysis, and an approximate technology is given to enhance the efficiency. A decoupling strategy is proposed for transforming the nested optimization of EBDO into a sequential iterative process of deterministic optimization and reliability analysis. The effectiveness of the proposed approach is demonstrated through two numerical examples and an engineering application.

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Acknowledgements

Supported by the Major Program of National Natural Science Foundation of China (51490662), the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (51621004), the National Science Fund for Distinguished Young Scholars (51725502), the Natural Science Foundation of Hunan Province of China (2017JJ2012), and the Educational Commission of Hunan Province of China (17A036).

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Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, Hunan City University, Yiyang City, 413002, People’s Republic of China

    Z. L. Huang & T. G. Yang

  2. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha City, 410082, People’s Republic of China

    Z. L. Huang, C. Jiang & Z. Zhang

  3. Science and Math Cluster, Singapore University of Technology and Design, Singapore, 487372, Singapore

    W. Zhang

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  1. Z. L. Huang
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  2. C. Jiang
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  3. Z. Zhang
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  4. W. Zhang
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  5. T. G. Yang
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Correspondence to C. Jiang.

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Huang, Z.L., Jiang, C., Zhang, Z. et al. Evidence-theory-based reliability design optimization with parametric correlations. Struct Multidisc Optim 60, 565–580 (2019). https://doi.org/10.1007/s00158-019-02225-7

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