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An Efficient Reliability-Based Optimization Method Utilizing High-Dimensional Model Representation and Weight-Point Estimation Method

Xiaoyi Wang1, Xinyue Chang2, Wenxuan Wang1,*, Zijie Qiao3, Feng Zhang3,*

1 School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, China
2 School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, China
3 School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, China

* Corresponding Authors: Wenxuan Wang. Email: email; Feng Zhang. Email: email

(This article belongs to this Special Issue: Computer-Aided Uncertainty Modeling and Reliability Evaluation for Complex Engineering Structures)

Computer Modeling in Engineering & Sciences 2024, 139(2), 1775-1796. https://doi.org/10.32604/cmes.2023.043913

Abstract

The objective of reliability-based design optimization (RBDO) is to minimize the optimization objective while satisfying the corresponding reliability requirements. However, the nested loop characteristic reduces the efficiency of RBDO algorithm, which hinders their application to high-dimensional engineering problems. To address these issues, this paper proposes an efficient decoupled RBDO method combining high dimensional model representation (HDMR) and the weight-point estimation method (WPEM). First, we decouple the RBDO model using HDMR and WPEM. Second, Lagrange interpolation is used to approximate a univariate function. Finally, based on the results of the first two steps, the original nested loop reliability optimization model is completely transformed into a deterministic design optimization model that can be solved by a series of mature constrained optimization methods without any additional calculations. Two numerical examples of a planar 10-bar structure and an aviation hydraulic piping system with 28 design variables are analyzed to illustrate the performance and practicability of the proposed method.

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Cite This Article

Wang, X., Chang, X., Wang, W., Qiao, Z., Zhang, F. (2024). An Efficient Reliability-Based Optimization Method Utilizing High-Dimensional Model Representation and Weight-Point Estimation Method. CMES-Computer Modeling in Engineering & Sciences, 139(2), 1775–1796.



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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