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A hybrid sufficient performance measure approach to improve robustness and efficiency of reliability-based design optimization

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Abstract

The stable convergence and efficiency of reliability-based design optimization (RBDO) using performance measure approach (PMA) are the major issue to develop the reliability methods based on modified chaos control (MCC), hybrid chaos control (HCC) and finite-step length adjustment (FSL). However, these methods may be inefficient for RBDO problems with convex and concave probabilistic constraints. In this paper, an adaptive modified chaos control (AMC) is proposed to provide the robust and efficient results in RBDO. The proposed AMC is adjusted using dynamical chaos control factor, which is extracted using sufficient descent condition for PMA. Using sufficient criterion, the proposed AMC is adaptively combined with advanced mean value (AMV) to improve the performance of PMA, named as hybrid adaptive modified chaos control (HAMC). Considering the robustness and efficiency, the proposed HAMC is compared with several existing reliability methods by three nonlinear structural/mathematical performance functions and two RBDO problems. The results indicate that the proposed HAMC with sufficient descent condition provides superior convergences in terms of both robustness and efficiency, compared to existing PMA methods using AMV, MCC, HCC and FSL.

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Authors and Affiliations

  1. Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Behrooz Keshtegar, Mohamed El Amine Ben Seghier & Nguyen-Thoi Trung

  2. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Behrooz Keshtegar, Mohamed El Amine Ben Seghier & Nguyen-Thoi Trung

  3. School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Debiao Meng

  4. State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, 430074, China

    Mi Xiao

  5. Institute of Research and Development, Duy Tan University, Da Nang, 550000, Vietnam

    Dieu Tien Bui

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  1. Behrooz Keshtegar
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  2. Debiao Meng
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  3. Mohamed El Amine Ben Seghier
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  4. Mi Xiao
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  5. Nguyen-Thoi Trung
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  6. Dieu Tien Bui
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Correspondence to Mi Xiao or Dieu Tien Bui.

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Keshtegar, B., Meng, D., Ben Seghier, M.E. et al. A hybrid sufficient performance measure approach to improve robustness and efficiency of reliability-based design optimization. Engineering with Computers 37, 1695–1708 (2021). https://doi.org/10.1007/s00366-019-00907-w

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