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Rendering optimal design under various uncertainties: A unified approach and application to brake instability study

Hui (School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, China)
Kun Yang (School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, China)
Wen-bin Shangguan (School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, China)
Hui Yin (School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, China)
DJ Yu (State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, China)

Engineering Computations

ISSN: 0264-4401

Article publication date: 13 August 2019

Issue publication date: 16 January 2020

Abstract

Purpose

The purpose of this paper is to propose a unified optimization design method and apply it to handle the brake squeal instability involving various uncertainties in a unified framework.

Design/methodology/approach

Fuzzy random variables are taken as equivalent variables of conventional uncertain variables, and a unified response analysis method is first derived based on level-cut technique, Taylor expansion and central difference scheme. Next, a unified reliability analysis method is developed by integrating the unified response analysis and fuzzy possibility theory. Finally, based on the unified reliability analysis method, a unified reliability-based optimization model is established, which is capable of optimizing uncertain responses in a unified way for different uncertainty cases.

Findings

The proposed method is extended to perform squeal instability analysis and optimization involving various uncertainties. Numerical examples under eight uncertainty cases are provided and the results demonstrate the effectiveness of the proposed method.

Originality/value

Most of the existing methods of uncertainty analysis and optimization are merely effective in tackling one uncertainty case. The proposed method is able to handle the uncertain problems involving various types of uncertainties in a unified way.

Keywords

Acknowledgements

The paper is supported by the National Natural Science Foundation of China (No.51605167), the Science and Technology Program of Guangzhou (No.201804010092), the Fundamental Research Funds for the Central Universities, SCUT (No. 2017BQ070) and the China Postdoctoral Science Foundation (No. 2019M652880).

Citation

Lü, H., Yang, K., Shangguan, W.-b., Yin, H. and Yu, D. (2020), "Rendering optimal design under various uncertainties: A unified approach and application to brake instability study", Engineering Computations, Vol. 37 No. 1, pp. 345-367. https://doi.org/10.1108/EC-03-2019-0100

Publisher

:

Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited