Study on the Machining Mathematical Model and Simulation of Face-Gear with Curvilinear Shaped Teeth Based on the Local Conjugate Theory of Gearing

A curvilinear-tooth face-gear has been developed in order to obtain a high contact ratio, reduced bending stresses and lower sliding velocities compared to the spur and helical involute face-gear drives. The machining method for this type of gear was studied based on the differential geometry and meshing theory in this paper. The cutting mathematical model of the face-gear was established, and then the cutting simulation of the face-gear was developed.