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A self-adaptive modified chaos control method for reliability-based design optimization

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Abstract

In the reliability-based design optimization (RBDO), the Advanced mean value (AMV) method sometimes yields unstable results such as chaotic and periodic solutions for highly nonlinear probabilistic constraints. The chaos control (CC), modified chaos control (MCC) and adaptive chaos control (ACC) methods are more robust than the AMV but inefficient for some moderately nonlinear performance functions. In this paper, a self-adaptive modified chaos control (SMCC) method is developed based on a dynamical control factor to improve the efficiency of MCC for reliability analysis and RBDO. The self-adaptive control factor is dynamically computed based on the new and previous results. The efficiency and robustness of the proposed SMCC are compared with the AMV, CC, MCC and ACC methods using several nonlinear structural/mathematical performance functions and RBDO problems. The results illustrate that the SMCC is more efficient than CC, MCC, and ACC methods, and also more robust than AMV method for highly nonlinear problems.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (11402049).

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Authors and Affiliations

  1. Department of Civil Engineering, University of Zabol, P.B. 9861335-856, Zabol, Iran

    Behrooz Keshtegar

  2. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, 116023, Dalian, China

    Peng Hao

  3. Hefei University of Technology, Hefei University of Technology, Hefei, 230009, People’s Republic of China

    Zeng Meng

Authors
  1. Behrooz Keshtegar
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  2. Peng Hao
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  3. Zeng Meng
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Correspondence to Behrooz Keshtegar.

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Keshtegar, B., Hao, P. & Meng, Z. A self-adaptive modified chaos control method for reliability-based design optimization. Struct Multidisc Optim 55, 63–75 (2017). https://doi.org/10.1007/s00158-016-1471-9

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  • DOI: https://doi.org/10.1007/s00158-016-1471-9

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