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Stiffness coupling analysis and calculation of multi-degree of freedom ball bearing and shaft

Published:2022-09-22 author:ZHANG Yao-hu, MA Lin-chao, QI Shan-cheng. Browse: 670 Check PDF documents

Stiffness coupling analysis and calculation of

multidegree of freedom ball bearing and shaft

ZHANG Yao-hu1, MA Lin-chao2, QI Shan-cheng3

(1.Beijing Xinlian Railway Group Co.,Ltd., Beijing 100044, China; 2.School of Mechanical and Electrical

Engineering, Henan University of Technology, Zhengzhou 450000, China; 3.Zhengzhou Machinery

Research Institute Co.,Ltd., Zhengzhou 450000, China)

Abstract: The load-deformation analysis results of the ball bearing under a single condition had deviations between theory and practice. At the same time, the load deformation of the shaft was not considered when the ball bearing was analyzed. Therefore, the ball bearing and shaft deformation analysis were combined. Based on the bearing-shaft stiffness model under load deformation, a calculation method for ball bearing-shaft stiffness was proposed.Firstly, based on the Hertzian contact theory and the principle of deformation coordination and force balance, the bearing stiffness calculation model was constructed; based on the Euler beam model, the shaft stiffness calculation model was constructed; based on the material mechanics and structural mechanics theory, the bearing-shaft stiffness coupling model was constructed. Then, according to the theory of material mechanics, the coupling analysis of the shaft and the bearing is realized through the coupling of the stiffness matrix. Finally, the software calculation results were compared with the literature control data to verify that the proposed calculation method can calculate the stiffness of the ball bearing-shaft. The results show that the error of the final data obtained by the calculation method using the stiffness of the ball bearing-shaft and the literature data is about 7%, which is within the acceptable error range. The proposed calculation method can accurately and quickly calculate the stiffness of ball bearing shaft model. The research work provides a theoretical and computational basis for the dynamic analysis of transmission system.

Key words: multi-degree of freedom ball bearing; bearing-shaft system model; stiffness coupling analysis; stiffness calculation model; stiffness matrix; mechanical analysis

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