Super-harmonic resonance of gear transmission system under stick-slip vibration in high-speed train  

作　　者：HUANG Guan-hua XU Si-si ZHANG Wei-hua YANG Cai-jin 黄冠华;许思思;张卫华;杨蔡进(State Key Laboratory of Traction Power (Southwest Jiaotong University), Chengdu 610031, China;Beijing Haidongqing Electrical and Mechanical Equipment Co., Ltd, Beijing 101300, China;CRRC Institute Co., Ltd, Beijing 100070, China)

机构地区：[1]State Key Laboratory of Traction Power （Southwest Jiaotong University）, Chengdu 61003 I, China [2]Beijing Haidongqing Electrical and Mechanical Equipment Co., Ltd, Beijing 101300, China [3]CRRC Institute Co., Ltd, Beiiing 100070, China

出　　处：《Journal of Central South University》2017年第3期726-735,共10页中南大学学报（英文版）

基　　金：Project(U1234208)supported by the National Natural Science Foundation of China;Project(2016YFB1200401)supported by the National Key Research and Development Program of China

摘　　要：This work deals with super-harmonic responses and the stabilities of a gear transmission system of a high-speed train under the stick-slip oscillation of the wheel-set.The dynamic model of the system is developed with consideration on the factors including the time-varying system stiffness,the transmission error,the tooth backlash and the self-excited excitation of the wheel-set.The frequency-response equation of the system at super-harmonic resonance is obtained by the multiple scales method,and the stabilities of the system are analyzed using the perturbation theory.Complex nonlinear behaviors of the system including multi-valued solutions,jump phenomenon,hardening stiffness are found.The effects of the equivalent damping and the loads of the system under the stick-slip oscillation are analyzed.It shows that the change of the load can obviously influence the resonance frequency of the system and have little effect on the steady-state response amplitude of the system.The damping of the system has a negative effect,opposite to the load.The synthetic damping of the system composed of meshing damping and equivalent damping may be less than zero when the wheel-set has a large slippage,and the system loses its stability owing to the Hopf bifurcation.Analytical results are validated by numerical simulations.This work deals with super-harmonic responses and the stabilities of a gear transmission system of a high-speed train under the stick-slip oscillation of the wheel-set.The dynamic model of the system is developed with consideration on the factors including the time-varying system stiffness,the transmission error,the tooth backlash and the self-excited excitation of the wheel-set.The frequency-response equation of the system at super-harmonic resonance is obtained by the multiple scales method,and the stabilities of the system are analyzed using the perturbation theory.Complex nonlinear behaviors of the system including multi-valued solutions,jump phenomenon,hardening stiffness are found.The effects of the equivalent damping and the loads of the system under the stick-slip oscillation are analyzed.It shows that the change of the load can obviously influence the resonance frequency of the system and have little effect on the steady-state response amplitude of the system.The damping of the system has a negative effect,opposite to the load.The synthetic damping of the system composed of meshing damping and equivalent damping may be less than zero when the wheel-set has a large slippage,and the system loses its stability owing to the Hopf bifurcation.Analytical results are validated by numerical simulations.

关 键 词：stick-slip vibration super-harmonic resonance Hopf bifurcation gear transmission system high-speed train 

分 类 号：U270.1[机械工程—车辆工程]