Abstract:

The rotational two-degree freedom dynamics model of gear-lapping system of a spiral bevel gear with single backlash was established by considering ultrasonic excitation and transmission error excitation. The formula of dynamic lapping force was established .By means of numerical simulation method, it is showed that ultrasonic excitation increases the dynamic lapping force between gear pairs. In the process of gear meshing，the phenomenon of tooth surface impact is appeared. When the ultrasonic excitation amplitude equals to 165Nm, gear-lapping system changes from periodic motion into chaotic state.

Key words: spiral bevel gear, ultrasonic excitation, transmission error, backlash, dynamic lapping force

摘要：

在综合考虑超声激励和齿面几何传动误差激励的情况下，建立了有间隙的两自由度周向振动的弧齿锥齿轮研齿动力学模型，得到了齿面间动态研磨力的计算公式。通过算例分析表明，与普通研齿效果对比，超声激励增大了齿面间的动态研磨力，使齿面在啮合过程中出现了碰撞, 当超声激励振幅值为16.5N•m时，超声研齿系统由周期运动进入到混沌状态。

关键词: 弧齿锥齿轮, 超声激励, 传动误差, 间隙, 动态研磨力