计及齿面摩擦的弧齿锥齿轮动态特性

Dynamic characteristics of spiral bevel gear considering tooth surface friction

基于集中参数法建立斜交弧齿锥齿轮8自由度动力学模型和动力学方程,综合考虑静态传动误差、齿面摩擦、齿侧间隙等激励,采用变步长Runge-Kutta法求解传动系统的动态响应,分析了摩擦因数、重合度对传动系统振动幅值的影响。结果表明:不同工况下的摩擦因数不同,随着润滑油的减少,摩擦因数增大,系统的振动位移和法向啮合力增大;随着接触迹线与根锥之间的夹角增大,重合度减小,振动幅值增大,法向啮合力增大。

Based on the centralized parameter method, an 8 degrees of freedom dynamic model and dynamic equations of spiral beveled bevel gears were established. Considering the static transmission error, tooth surface friction and tooth clearance comprehensively, the dynamic responses of transmission system were solved by Runge-Kutta algorithm with variable step lengths, and the effects of friction coefficient and coincidence degree on the vibration amplitude of the transmission system were studied. The results showed that the friction coefficient was different under different working conditions. With the decrease of lubricating oil, the friction coefficient, the system’s vibration displacement and normal meshing force increased;coincidence degree was reduced, but vibration amplitude and normal meshing force increased while the angle between the contact trace and the root cone increased.