Effect of variation of angular velocity in gear rolling process on profile error

In the gear generating method, such as the hobbing method; the variation of angular velocity becomes a cause of involute profile error. This study deals with the effect of the variation of angular velocity in gear rolling on the tooth profile error. The fluctuation of center distance is one of the phenomena in rolling. This phenomenon has not been clarified in relationship with the profile error. It is assumed that the fluctuation of center distance induces the variation of angular velocity. In this experiment, the steel belt was set between the tool and work gear, and the variation of angular velocity in rolling was detected as a change of the tension on the belt. The angular velocity between the tool and work gear varies slightly by the period of the normal pitch between contact teeth. In the next step, the effect of this variation of the tooth profile error was theoretically revealed. llowing results were obtained. riation of angular velocity is based on the rolled profile error. The amplitude of the variation corresponds to the difference of the amount of plastic deformation between the driven side and the follower side of the rolled tooth.