Analysis on the kinematical characteristics of compound motion curve-face gear pair

Recently, more and more non-circular gear pairs have been used in gear transmission mechanism. The transmission ratio of some non-circular gear pairs have been presented, however, the relative motions of the two gears are different in different gear pairs. The analytical model and mathematical equations for the classification of the transmission pattern, transmission ratio and relative motions of non-circular gear pair have been established. The classification model illustrates the non-circular gear pairs with both fixed axis and movable axis are existing, presents some other possible new transmission patterns. This paper focuses on the complex governing equations for the compound motion of this curve-face gear pair and shows that the kinematical response of pinion-spring system is continuous intermittent collisions with incomplete vibrations in the meshing process. The limitation conditions for the critical velocity of this gear pair are proposed in this paper. The results indicate that the vibration of this gear pair at low velocity is obvious and the critical velocity should be limited to not more than 700 rpm, which is affected by the parameters of this gear pair. These theoretical results, which have been verified by the experimental rolling, provide the theoretical support for further analysis and application of this compound motion face gear pair. (C) 2018 Published by Elsevier Ltd.