Effect of backlash on dynamics of spur gear pair system with friction and time-varying stiffness

被引：0
作者：
Chen, Siyu [1 ]
Tang, Jinyuan [1 ]
机构：
[1] School of Mechanical Engineering, Central South University
来源：
Jixie Gongcheng Xuebao/Journal of Mechanical Engineering | 2009年 / 45卷 / 08期
关键词：
Backlash; Dynamic response; Friction; Gear; Time-varying stiffness;
D O I：
10.3901/JME.2009.08.119
中图分类号：
学科分类号：
摘要：
The chief objective is to study the effect of backlash on nonlinear dynamic response of spur gear pair system with consideration of friction and time-varying stiffness. Three different kinds of backlash, i.e. constant backlash, time-varying backlash and stochastic backlash, are established. The dynamic responses are studied over a wide frequency range by using numerical integration, Runge-Kutta method, to check the nonlinear behavior and jump phenomena in the frequency response. The results indicate that: (1) At low speed, with the increase of friction coefficient, the root-mean-square value and mean value of system response increase, and the system enters into chaotic motion state after three times of jump. (2) The increase of amplitude of time-varying backlash causes the system to early enter into chaotic state, and with the increase of time-varying amplitude, the jump frequency decreases gradually. When the frequency of time-varying backlash is small, the influence of backlash on the system is small. When the frequency of time-varying backlash is great, the system produces obvious resonance response at ω=0.2 and ω=0.3. The frequency responses are mainly 4ω, 5ω and 6ω. (3) With consideration of stochastic backlash, the value of has less change, but has obvious fluctuation. ©2009 Journal of Mechanical Engineering.
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页码：119 / 124
页数：5
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