Translational - torsional coupled model based nonlinear dynamic analysis of an NGW planetary gear train

作     者：刘振州 张俊 BIAN Shi-yuan 

作者机构：School of Mechanical Engineering Anhui University of Technology Ma'anshan 243032 P. R. China School of Mechanical Engineering and Automation Fuzhou University Fuzhou 350116 P. R. China 

出 版 物：《Journal of Chongqing University》 (重庆大学学报（英文版）)

年 卷 期：2016年第15卷第4期

页      面：159-167页

学科分类：08[工学] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 

基　　金：Funded by the National Natural Science Foundation of China(Grant No.51375013) the Anhui Provincial Natural Science Foundation(Grant No.1208085ME64) 

主　　题：NGW planetary gear train time-varying stiffness nonlinear dynamic model gear backlash Runge-Kutta method 

摘      要：This paper aims to investigate the nonlinear dynamic behaviors of an NGW planetary gear train with multi-clearances and manufacturing/assembling errors. For this purpose, an analytical translational- torsional coupled dynamic model is developed considering the effects of time-varying stiffness, gear backlashes and component errors. Based on the proposed model, the nonlinear differential equations of motion are derived and solved iteratively by the Runge-Kutta method. An NGW planetary gear reducer with three planets is taken as an example to analyze the effects of nonlinear factors. The results indicate that the backlashes induce complicated nonlinear dynamic behaviors in the gear train. With the increment of the backlashes, the gear system has experienced periodic responses, quasi-periodic response and chaos responses in sequence. When the planetary gear system is in a chaotic motion state, the vibration amplitude increases sharply, causing severe vibration and noise. The present study provides a fundamental basis for design and parameter optimization of NGW planetary gear trains.