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Dynamics analysis of mass-containing eccentric gear system considering time-varying backlash and time-varying bearing stiffness
Published:2023-09-20 author:LI Yao-bing, JIANG Han-jun, LIU Fu-hao, et al. Browse: 1012 Check PDF documents
Dynamics analysis of mass-containing eccentric gear system considering 
time-varying backlash and time-varying bearing stiffness


LI Yao-bing1, JIANG Han-jun1, LIU Fu-hao1, ZHANG Jie-lu2

(1.School of Mechanical and Automotive Engineering, Qingdao University of Technology, Qingdao 266520, China; 

2.Jiangsu Tailong Decelerator Machinery Co., Ltd., Taizhou 225400, China)


Abstract:  In order to investigate the effect of the time-varying characteristics of tooth side clearance and bearing stiffness on the dynamic characteristics of the gear system with mass eccentricity, combined with its coupled dynamic model, the time-varying backlash and time-varying bearing stiffness were solved by Runge-Kuta algorithm, and the dynamic response of the gear system was analyzed according to different eccentricity. Firstly, a time-varying backlash model due to bearing deformation was established based on the geometric relationship, and a time-varying bearing stiffness formula for rolling bearings was derived using Hertzian contact theory. Then, based on the time-varying backlash and time-varying bearing stiffness, a dynamic model of a six-degree-of-freedom spur gear system considering tooth surface friction and mass eccentricity was established. Finally, the effects of time-varying characteristics of backlash and bearing stiffness on the dynamic response of the gear system under different eccentric distances were analyzed. The research results show that after considering the time-varying characteristics of backlash and bearing stiffness, the amplitude of dynamic transmission error respectively, increases by 16.46% and 2.02%, compared with those of constant backlash and bearing stiffness. The maximum side frequency amplitude of the corresponding system increases from 0 μm to 0.19 μm and 0.33 μm when the eccentricity increases from 0 mm to 0.5 mm and 1 mm. The mass eccentricity affects the dynamic response of the system, and with the increase of the eccentricity, it will change from a stable periodic motion to a fluctuating periodic motion, and the fluctuation amplitude is positively related to the eccentricity. At the same time, the mass eccentricity will lead to the side frequency of the system, and the amplitude of the side frequency increases with the increase of the eccentricity. Therefore, the eccentricity should be controlled within a reasonable range to prevent it from being too large and causing instability of the gear system.

Key words:  tooth side clearance; mass eccentricity; eccentricity distance; time-varying bearing stiffness; time-varying backlash; dynamic response
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