混合弹流润滑下人字齿轮系统动态啮合效率研究

Dynamics meshing efficiency of herringbone gears under mixed elastohydrodynamic lubrication condition

为准确有效计算人字齿轮啮合效率,更好分析人字齿轮系统传动特性,建立滚动轴承支撑、同时考虑啮合刚度激励、啮合冲击激励及齿面啮合摩擦激励的人字齿轮传动系统12自由度动力学模型。分析啮合齿面润滑机理,通过齿面接触分析及轮齿承载接触分析程序,计算啮合齿面滑动摩擦系数及摩擦损失功率;在此基础上获得人字齿轮动态啮合载荷下齿面动态啮合效率。以人字齿轮传动系统参数为实例进行验证,分别计算齿面啮合静态效率、齿面啮合动态效率及参照AGMA标准的啮合效率。结果表明,齿面啮合效率以啮合齿频为周期,动态啮合效率低于静态啮合效率,符合因各动态激励因素存在导致系统能耗增大趋势,计算结果均值与AGMA标准值基本一致。表明该计算方法合理有效。

In order to accurately establish the dynamic model of helical gears,and to know more about vibration characteristics of the helical gear system,a meshing stiffness calculation method was put forward based on tooth contact load analysis and in consideration of the torsional deformation of shaft. The dynamic models of helical gears established by the decomposition of meshing stiffness in major domestic literatures were analyzed and their violation of theoretical mechanics was pointed out. Based on the decomposition of force and vibration displacement,a vibration model of helical gears was established considering the meshing stiffness excitation and corner meshing impact excitation. Taking a helical gear transmission system as an example,the results consistently indicate that the method of tooth contact load analysis can easily and accurately calculate the teeth meshing stiffness. The results based on the decomposition of force and vibration displacement are in good agreement with the theoretical ones.