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Flexible-constrained time-variant hybrid reliability-based design optimization

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Abstract

Only the worst-case scenario is considered in most studies when conducting reliability-based design optimization under hybrid uncertainties including epistemic uncertainty and aleatory uncertainty, which will result in waste of resources because of the excessive pursuit of higher reliability. In order to quantitatively balance resources and reliability restricted by the lower and upper bounds under hybrid uncertainties during the design stage, a novel flexible-constrained time-variant hybrid reliability-based design optimization model is proposed in this paper. The infeasible region pruning-based Kriging method is proposed to build surrogate models for hard constraints while a combination of Kriging and high-dimensional model representation is presented to build surrogate models for flexible constraints to improve the efficiency. In order to build the relationship between resources and reliability, the determination method of design preference parameter is provided. A metaheuristic framework is finally given to conduct the flexible-constrained time-variant hybrid reliability-based design optimization. Two examples are employed to illustrate and validate the effectiveness of the proposed method.

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Acknowledgements

This work was supported by Sichuan Science and Technology Program under the Contract No. 2020JDJQ0036, and Natural Science Foundation of Sichuan under the Contract No. 2022NSFSC1941.

Funding

Funding was provided by Sichuan Province Science and Technology Program (2020JDJQ0036) and Natural Science Foundation of Sichuan (2022NSFSC1941).

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Authors and Affiliations

  1. Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou, 313001, Zhejiang, China

    Zhonglai Wang

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

    Zhonglai Wang, Dongyu Zhao & Yi Guan

Authors
  1. Zhonglai Wang
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  2. Dongyu Zhao
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  3. Yi Guan
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Correspondence to Zhonglai Wang.

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The authors declared that they have no conflicts of interest in this work. We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.

Replication of results

The results presented in this work are based on the flowchart in Fig. 2. In order to replicate the results, a series of Matlab code is provided as supplementary material. The attached Matlab file named as “main.m” and other function files can be utilized to build the model in Example 4.2, where The Kriging surrogate model is established by ooDACE toolbox. For replication of the results of other cases in the proposed work, information of input variables and random process can be modified in the corresponding source codes. The detailed instruction is in the function files.

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Wang, Z., Zhao, D. & Guan, Y. Flexible-constrained time-variant hybrid reliability-based design optimization. Struct Multidisc Optim 66, 89 (2023). https://doi.org/10.1007/s00158-023-03550-8

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  • DOI: https://doi.org/10.1007/s00158-023-03550-8

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