A Model to Determine Mesh Characteristics in a Gear Pair with Tooth Profile Error

摘要

A method to determine the gear mesh stiffness, loaded transmission error, and tooth contact stress is presented with tooth profile error. The single tooth stiffness is calculated by the potential energy method. Contact stress is studied by the classic Hertzian elastic contact theory. Then two cases are presented for validation of the gear mesh stiffness model. It is demonstrated that the gear mesh stiffness model is effective for the gear pair with or without lead crown relief and tip and root relief. Finally, the effects of tooth lead crown relief and applied torque on the gear mesh stiffness are analyzed. The results show that mesh stiffness decreases and loaded transmission error and the maximum tooth contact stress grow with increasing the tooth lead crown relief. And mesh stiffness, loaded transmission error, and the maximum contact stress increase in a certain range as the applied torque increases for the tooth with lead crown relief.