Title: Optimised design of cross-shaft parameters based on response surface optimisation model with MOGA

Authors: Sijie Xiong; Yuanmin Xie; Chunlong Zou; Yanfeng Mao; Yongcheng Cao

Addresses: Key Laboratory of Metallurgical Equipment and Control Technology of Ministry of Education, Wuhan University of Science and Technology, Wuhan, Hubei, China; Research Centre for Biomimetic Robot and Intelligent Measurement and Control, Wuhan University of Science and Technology, Wuhan, Hubei, China ' Key Laboratory of Metallurgical Equipment and Control Technology of Ministry of Education, Wuhan University of Science and Technology, Wuhan, Hubei, China; Precision Manufacturing Research Institute, Wuhan University of Science and Technology, Wuhan, Hubei, China ' Hubei University of Automotive Technology, Shiyan, Hubei, China ' Key Laboratory of Metallurgical Equipment and Control Technology of Ministry of Education, Wuhan University of Science and Technology, Wuhan, Hubei, China; Research Centre for Biomimetic Robot and Intelligent Measurement and Control, Wuhan University of Science and Technology, Wuhan, Hubei, China ' Technology Research and Development, Hubei Jingmen Wusan Machinery Equipment Manufacturing Co., Ltd., Jingmen, Hubei, China

Abstract: Cross-shaft is the core component of the cross-type universal coupling and has a vital transmission function. This paper proposes Sparse Grid and the Kriging interpolation to construct a response surface model to solve the problem of long design cycles, low reliability and high susceptibility to cross-shaft fatigue deformation. The critical dimensions of the cross-shaft are used as design variables, and the maximum equivalent force and deformation are reduced as the optimisation objective. Then experimental points are obtained by Sparse Grid Initialisation and then the response surface model is obtained with high accuracy by Kriging interpolation, and finally, the optimised design of the cross-shaft is completed using MOGA in this paper. Compared with the original structural solution, the maximum deformation of the cross-shaft is reduced by 0.4717 mm (22.35%), the maximum equivalent force is reduced by 130.35 Mpa (17.21%) and the mass increased by only 4.17%.

Keywords: cross-shaft; Kriging interpolation; MOGA; multi-objective optimisation.

DOI: 10.1504/IJWMC.2024.137165

International Journal of Wireless and Mobile Computing, 2024 Vol.26 No.2, pp.198 - 206

Received: 12 Apr 2023
Accepted: 02 Sep 2023
Published online: 04 Mar 2024 *

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