齿面磨损及轴承间隙对齿轮动力学的影响研究

齿面磨损及轴承间隙是影响齿轮系统动力学的重要因素,为揭示齿面磨损及轴承间隙对齿轮系统动力学的影响,建立了6自由度弯扭耦合模型,该模型考虑了齿面磨损、轴承间隙、摩擦及齿侧间隙等因素。通过Runge-Kutta法对动力学微分方程进行求解并得到系统的动态响应。研究结果表明,当齿轮由未磨损状态转变为轻微磨损状态时,齿轮系统动态传递误差振幅减小,振动减小;随着齿面的不断磨损,到达严重磨损时,动态传递误差振幅增大,振动加强;齿轮动态传递误差的振幅随着轴承间隙的增大逐渐增大,同时系统发生谐振现象,影响系统的稳定性。

Research of the Influence of Tooth Surface Wear and Bearing Clearance on Gear Dynamics

Tooth surface wear and bearing clearance are important factors affecting gear system dynamics, in order to reveal the influence of tooth wears and bearing clearance on the dynamics of gear system,a six-degree-of-freedom bending-torsion coupled model is established,which takes into account the tooth surface wear, bearing clearance,friction and backlash.The dynamic differential equations are solved by Runge-Kutta method and the dynamic response of the system is obtained.The results show that when the gear changes in unworn phase to mild wear phase,the amplitude of dynamic transfer error decreases and the vibration is weakened.With the increment of tooth surface wear,the amplitude of dynamic transmission error increases and the vibration is strengthened when the gear reaches severe wear phase.With the increase of bearing clearance,the peak-topeak value of dynamic transfer error will increase and resonance phenomenon will appear,the stability of system will decrease.