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Fuzzy optimization design-based multi-level response surface of bogie frame

Pengpeng Zhi (School of Mechanical Engineering, Dalian Jiaotong University, Dalian, China)
Yonghua Li (School of Locomotive and Rolling Stock Engineering, Dalian Jiaotong University, Dalian, China)
Bingzhi Chen (School of Locomotive and Rolling Stock Engineering, Dalian Jiaotong University, Dalian, China)
Meng Li (School of Locomotive and Rolling Stock Engineering, Dalian Jiaotong University, Dalian, China)
Guannan Liu (School of Locomotive and Rolling Stock Engineering, Dalian Jiaotong University, Dalian, China)

International Journal of Structural Integrity

ISSN: 1757-9864

Article publication date: 8 February 2019

Issue publication date: 3 April 2019

209

Abstract

Purpose

In a structural optimization design-based single-level response surface, the number of optimal variables is too much, which not only increases the number of experiment times, but also reduces the fitting accuracy of the response surface. In addition, the uncertainty of the optimal variables and their boundary conditions makes the optimal solution difficult to obtain. The purpose of this paper is to propose a method of fuzzy optimization design-based multi-level response surface to deal with the problem.

Design/methodology/approach

The main optimal variables are determined by Monte Carlo simulation, and are classified into four levels according to their sensitivity. The linear membership function and the optimal level cut set method are applied to deal with the uncertainties of optimal variables and their boundary conditions, as well as the non-fuzzy processing is carried out. Based on this, the response surface function of the first-level design variables is established based on the design of experiments. A combinatorial optimization algorithm is developed to compute the optimal solution of the response surface function and bring the optimal solution into the calculation of the next level response surface, and so on. The objective value of the fourth-level response surface is an optimal solution under the optimal design variables combination.

Findings

The results show that the proposed method is superior to the traditional method in computational efficiency and accuracy, and improves 50.7 and 5.3 percent, respectively.

Originality/value

Most of the previous work on optimization was based on single-level response surface and single optimization algorithm, without considering the uncertainty of design variables. There are very few studies which discuss the optimization efficiency and accuracy of multiple design variables. This research illustrates the importance of uncertainty factors and hierarchical surrogate models for multi-variable optimization design.

Keywords

Acknowledgements

The authors would like to acknowledge the partial supports provided by the National Natural Science Foundation under contract number 51875073, and the program of Educational Commission of Liaoning Province under contract number JDL2016001.

Citation

Zhi, P., Li, Y., Chen, B., Li, M. and Liu, G. (2019), "Fuzzy optimization design-based multi-level response surface of bogie frame", International Journal of Structural Integrity, Vol. 10 No. 2, pp. 134-148. https://doi.org/10.1108/IJSI-10-2018-0062

Publisher

:

Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited

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