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Application of a new local effective constrained response surface method in structural reliability optimization design

Hailiang Su (School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, China and Guangdong Provincial Key Laboratory of Automotive Engineering, Guangzhou, China)
Fengchong Lan (School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, China and Guangdong Provincial Key Laboratory of Automotive Engineering, Guangzhou, China)
Yuyan He (School of Business Administration, South China University of Technology, Guangzhou, China)
Jiqing Chen (School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, China and Guangdong Provincial Key Laboratory of Automotive Engineering, Guangzhou, China)

Engineering Computations

ISSN: 0264-4401

Article publication date: 14 March 2019

Issue publication date: 8 May 2019

233

Abstract

Purpose

Meta-model method has been widely used in structural reliability optimization design. The main limitation of this method is that it is difficult to quantify the error caused by the meta-model approximation, which leads to the inaccuracy of the optimization results of the reliability evaluation. Taking the local high efficiency of the proxy model, this paper aims to propose a local effective constrained response surface method (LEC-RSM) based on a meta-model.

Design/methodology/approach

The operating mechanisms of LEC-RSM is to calculate the index of the local relative importance based on numerical theory and capture the most effective area in the entire design space, as well as selecting important analysis domains for sample changes. To improve the efficiency of the algorithm, the constrained efficient set algorithm (ESA) is introduced, in which the sample point validity is identified based on the reliability information obtained in the previous cycle and then the boundary sampling points that violate the constraint conditions are ignored or eliminated.

Findings

The computational power of the proposed method is demonstrated by solving two mathematical problems and the actual engineering optimization problem of a car collision. LEC-RSM makes it easier to achieve the optimal performance, less feature evaluation and fewer algorithm iterations.

Originality/value

This paper proposes a new RSM technology based on proxy model to complete the reliability design. The originality of this paper is to increase the sampling points by identifying the local importance of the analysis domain and introduce the constrained ESA to improve the efficiency of the algorithm.

Keywords

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 51775193) and Guangdong Provincial Technology-Planning Project of China (Grant Nos. 2016A050503021, 2015B010137002).

Citation

Su, H., Lan, F., He, Y. and Chen, J. (2019), "Application of a new local effective constrained response surface method in structural reliability optimization design", Engineering Computations, Vol. 36 No. 3, pp. 1055-1078. https://doi.org/10.1108/EC-07-2018-0331

Publisher

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Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited

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