This paper develops a mathematical model for the solution to the longitudinal tooth curve of an internal gear shaver based on the simplified principle for space transmission of a helical gear pair without flank clearance,and proposes a calculating approach of the profile modification of the grinding wheel to be used for grinding the longitudinal tooth curve of the shaver.

The authors analyse the shaving process, study the shaving mechanism and point out that boa use of the intersection between the shaving cutter surface and the unshaved afar tooth surface in space, the cutting edges of shaving cutters remove the intersecting part of the gear and envelope the gear tooth surface under the role of shaving motions.

However, after shaved by shaving cutter with true involute profiles, there are the "mid-concave" phenomena on the pitch points of shaved gear tooth profiles inevitably.

The raker sharpening technology of gear shaving tools based on the balanced shaving;

After gear shaving cutter profile correction,the smooth and steady of the run of the toothed gear changes obviously,at the same time,gear shaving cutter profile correction reduces noises and improves the bearing capacity of the toothed gear and makes its life long.

The designing idea of 3D structure model of the gear shaving cutter was presented,and the structure of gear shaving cutter was simulated by the finite element software ANSYS to get the model of stress and strain under the load.

The influencing factors for the accuracy and surface quality, service life of the gear shaver, and shaving efficiency in shaving process are analyzed, and the solution methods are presented, and the application examples are also given.