A method of tooth grinding for face gear machining by using grinding disk was proposed with the purpose to manufacture hardened face gear with high precision and obtain parabolic transmission errors and increase transmission stability.The generation theory and grinding disk motion of face gear abraded by grinding disk were analyzed

the surface equation of grinding disk was deduced according to the generation theory

and the double crowned tooth surface equation of face gear was derived based on using grinding disk with mismatch involute and modified movement of grinding disk.The model of tooth contact analysis of double crowned face gear meshing with traditional involute pinion was established.Instances of tooth surface calculation and tooth contact analysis indicate that the method of gear grinding applied to manufacture double crowned face gear through grinding disk is feasible

parabolic transmission errors of face gear can be obtained

edge contact is avoided and is enhanced the stability of transmission.