等高齿锥齿轮非线性振动特性的联合求解方法

Integrated solution approach for non-linear vibration characteristics of cycloid bevel gear

齿轮重载啮合中发生的轮齿接触损失会引起齿轮传动中的动态传递误差,动态传递误差的存在是等高齿锥齿轮非线性振动的重要原因,准确预测和计算等高齿锥齿轮传动中的动态传递误差是进一步改善这类齿轮系统振动特性的有效手段。针对某重载等高齿锥齿轮,研究其在一定运行速度和扭矩范围内的频率响应特性,运用一种新的曲面积分与局部有限元联合求解方法求解了等高齿锥齿轮传动中的动态传递误差,揭示出此类传动系统振动的强非线性特性。这种方法无需将时变拟合刚度和啮合频率变量等非线性因素作为外部的激励进行求解,而是从齿轮啮合的每一时步,计算动态啮合力以及动态传递误差,得出等高齿锥齿轮的非线性振动特性。该方法可以精确表达轮齿几何及轮齿接触力等因素对齿轮动力学性能的影响,为等高齿锥齿轮这类复杂振动特性的传动系统提供了一种行之有效的分析方法。

The transmission error is an important factor causing nonlinear vibration of cycloid bevel gear, and the vibration characteristics of gear system can be improved by prediction and calculation of the dynamic transmission error of cycloid bevel gear. The dynamic response characteristics of cycloid bevel gear were discussed under a range of operation speeds and acting torques. A new approach of surface integration and local FEM was proposed to solve the dynamic transmission error. And then, the strong nonlinear vibration characteristics of gear system were analysed. In the approach, it is no longer necessary to consider the nonlinear factors, such as the time-varied stiffness and meshing frequency variation, as external excitations. However, in every time step of gear meshing the dynamic mesh force and dynamic transmission error were calculated, and finally the nonlinear vibration characteristics of cycloid bevel gear were achieved. The approach can precisely present the key factors of the gear teeth, including the tooth geometry and tooth contact stress, which influence the dynamic characteristics of cycloid bevel gear significantly and provides an effective method for the analysis of complex vibration characteristics of cycloid bevel gear transmission system.