Dynamic lapping force analysis of spiral bevel gear lapping system with ultrasonic excitation

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 16.5 Nm, gear-lapping system changes from periodic motion into chaotic state.