精密钢球传动系统动力学建模与模态分析

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Abstract In order to reveal the inherent characteristics of a precision ball transmission system accurately,Considering the influence of the curvature of the cycloidal groove and the variation of meshing normal force on the mesh stiffness,the time-varying mesh stiffness of the meshing pair was obtained by the torque balance equation and the axial force balance equation.A translational-torsional coupling dynamics model of the precision ball transmission system was established,the dynamics of differential equations of the system were derived,the characteristic equation of free vibration of the system was obtained and the natural frequencies and vibration modes were solved.The results show that the natural frequencies of the transmission system are changed periodically.When the parameters of the prototype are given,loci veering occurs at the approach of respective natural frequency curves of low-order (1—10 order) and middle-high-order (27—29 order and 30—34 order) and there are changes between the linear vibration mode of the constant speed ball group 1 and the linear vibration mode of the constant speed ball group 2 at the intersection of the high-order (39—42 order) natural frequency curves with the increasing of the rotation angle.

Key words： precision ball transmission four point contact time-varying mesh stiffness modal analysis axial preload

Received: 11 October 2017 Published: 15 February 2019

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	ZHANG Yue
	AN Zijun
	LIU Ziqiang
	BAI Xiaopeng

Cite this article:

ZHANG Yue,AN Zijun,LIU Ziqiang, et al. A dynamic model and modal analysis of a precision ball transmission system[J]. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(4): 166-174.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2019/V38/I4/166

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