Research on the Time-varying Dynamic Characteristics of Compound Motion Curve Face Gear Pair*

To satisfy the requirements of transmission mechanisms with variable transmission ratio, the curve face gear mechanism of compound motion has been proposed, which can build variable transmission ratio and rotation/movement compound motion simultaneously with fewer components and more compact structure. The transmission equation was established and the anti-floating design of the pinion was presented. Combined with critical floating conditions, the relationship among engagement state, rotation speed, stiffness and some other parameters have been shown obviously. According to the discrete method, the difference of meshing tooth pair in a half cycle was set up and converted as the equivalent model with time-varying properties. The dynamic response equations of this gear pair were obtained and the influence of parameters on response displacements were analyzed. Compared with the experimental results, the correctness and rationality of the theory was verified, laying a theoretical foundation for the following research and application of this gear pair.