曲面积分与局部有限元联合求解摆线锥齿轮非线性振动特性

Combined Solution Method of Surface Integral and Local FEM for the Non-line Vibration Characteristic of Cycloid Bevel Gear

针对重载啮合中动态传递误差所导致的非线性振动问题,以及如何准确预测和计算等摆线锥齿轮传动中的动态传递误差进一步改善这类齿轮系统振动特性,研究了在一定的运行速度和扭矩范围内摆线锥齿轮的动态响应特性,对摆线锥齿轮非线性振动特性提出了一种新的曲面积分与局部有限元联合求解方法,这种方法可以精确表达轮齿几何及轮齿接触力等对齿轮动力学性能有关键影响的因素;此外,所提出的方法无需将静态传递误差、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接触力以及动态传递误差,最终得出摆线锥齿轮的非线性振动特性,采用本方法可以较好地改善摆线锥齿轮的振动特性.

This paper researches the dynamic response characteristic of the cycloid bevel gear under a wide range of operation speed and torque, and proposes a new method of semi-analytical FEM. The new method can precisely present the key factors of the gear tooth such as the tooth geometry and tooth contact stress, which influences the dynamic characteristic of the cycloid bevel gear significantly. Different from the conventional method, the non-line factors such as the static transmission error, time-varied stiffness and meshing frequency variation are no longer considered as the excitation. However, every time step of gear meshing is considered to calculate the dynamic contact stress and dynamic transmission error, and finally present the non-line vibration characteristic of cycloid bevel gear.