计入齿面摩擦和热变形的齿轮传动系统动力学建模分析

摘要

The dynamic model of gear transmission systems with consideration of the tooth surface friction and thermal deformation was discussed.A nonlinear differential dynamic equation of involute spur gears considering the temperature,tooth surface friction,backlash and time-varying mesh stiffness was built.Some numerical examples were analyzed.The results show that the influences of friction coefficient and temperature on system dynamic responsesare related to the torque fluctuation frequency.When the frequency is low,the gear system shows the feature of periodic motion and the influences of friction and temperature are not obvious.When the frequency is high,the friction and temperature have a great influence on the gear transmission precision and motion form.The system motion form changes from quasi periodic motion into chaos along with the increase of friction coefficient and temperature,and the rattle condition becomes more complex.%对计入齿面摩擦和热变形的齿轮系统动力学模型进行了分析.以渐开线直齿轮为例,计入温度效应并考虑齿面摩擦、齿侧间隙、时变啮合刚度等非线性因素,建立系统的动力学微分方程,并进行算例分析.结果表明:摩擦因数和温度对于系统的影响与转矩波动频率有关.当转矩波动频率较低时,系统一般呈现周期运动,摩擦因数和温度的影响不明显;当转矩波动频率较高时,摩擦和温度对于传动精度和运动形态的影响很大,随着摩擦因数和温度的增加,系统稳态运动由拟周期运动变为混沌运动,轮齿间敲击状态变复杂.