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Decoupled reliability-based design optimization with a double-step modified adaptive chaos control approach

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Abstract

Reliability analysis using first-order reliability methods (FORM) has been widely used in reliability-based design optimization (RBDO) due to their simplicity and efficiency. The performance of the RBDO is highly dependent on how it deals with the loops of deterministic optimization and reliability analysis as well as the process of reliability assessment. In this paper, sequential optimization and reliability analysis (SORA) is employed to reduce the computational cost of RBDO. Moreover, a double-step modified adaptive chaos control method (DS-MACC) based on an improved adaptive chaos control approach is developed to speed up the reliability analysis loop. In the method presented here, two sets of novel criteria are introduced within two steps to distinguish the condition of the iterative process, compute and modify the step size. The efficiency and robustness of the proposed method is shown with eight inverse reliability problems and five RBDO examples and is compared with some methods developed recently. The results illustrate that the proposed method is more efficient with a competitive convergence rate.

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Authors and Affiliations

  1. School of Civil Engineering, Iran University of Science and Technology, Tehran, 16846-13114, Iran

    Majid Ilchi Ghazaan & Fatemeh Saadatmand

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  1. Majid Ilchi Ghazaan
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  2. Fatemeh Saadatmand
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Correspondence to Majid Ilchi Ghazaan.

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The MATLAB codes for the current study are available from the corresponding author on reasonable request.

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Ilchi Ghazaan, M., Saadatmand, F. Decoupled reliability-based design optimization with a double-step modified adaptive chaos control approach. Struct Multidisc Optim 65, 284 (2022). https://doi.org/10.1007/s00158-022-03390-y

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