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Reliability-based structural design optimization: hybridized conjugate mean value approach

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Abstract

The efficiency and robustness of reliability techniques are important in reliability-based design optimization (RBDO). Commonly, advanced mean value (AMV) is utilized in reliability loop of RBDO but unstable solutions using AMV may be obtained for highly concave performance functions. Owing to the challenges of commonly reliability methods, the conjugate gradient analysis (CGA) is proposed as a robust methodology but it shows inefficient results for convex constraints. In this research, hybrid conjugate mean value (HCMV) method is proposed using sufficient condition for the enhancement of efficiency and robustness of RBDO. The CGA and AMV are dynamically utilized for simple solution of convex/concave constraints using sufficient descent criterion in HCMV. The HCMV is used to evaluate the convergence performances and is compared with numerous existing reliability methods through three reliability problems (two concave/convex mathematical examples and one applicable structure) and four RBDO problems. From the numerical results, the HCMV exhibited the better efficiency, and robustness compared to other studied formulations in reliability and RBDO problems.

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Authors and Affiliations

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

    Shun-Peng Zhu

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

    Behrooz Keshtegar & Nguyen-Thoi Trung

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

    Behrooz Keshtegar & Nguyen-Thoi Trung

  4. Sustainable Developments in Civil Engineering Research Group, Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Zaher Mundher Yaseen

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

    Dieu Tien Bui

Authors
  1. Shun-Peng Zhu
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  2. Behrooz Keshtegar
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  3. Nguyen-Thoi Trung
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  4. Zaher Mundher Yaseen
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  5. Dieu Tien Bui
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Correspondence to Behrooz Keshtegar or Dieu Tien Bui.

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Zhu, SP., Keshtegar, B., Trung, NT. et al. Reliability-based structural design optimization: hybridized conjugate mean value approach. Engineering with Computers 37, 381–394 (2021). https://doi.org/10.1007/s00366-019-00829-7

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  • DOI: https://doi.org/10.1007/s00366-019-00829-7

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