Dynamic Modeling and Transmission Error Analysis of Cycloid Drive Based on Variable Clearance

In order to precisely construct the nonlinear dynamic analysis model of the N-cycloidal pin reducer in the transmission process, the paper employs the Load tooth contact analysis (LTCA) to determine the time-varying meshing clearance and the time-varying torsional stiffness, and it takes into account the influence of the revolution displacement and meshing damping of the cycloid gear pair. Based on the lumped parameter method build a six degree of freedom (DOF) nonlinear dynamic analysis model. The dynamic differential equation is deduced using the general Lagrange function. Then, using the fourth-order Runge Kutta method to calculates the dynamic response. The transmission errors (TE) under various examples of profile modification are calculated and analyzed through the result of dynamic response. The results show that the transmission error value and the fluctuation increase with the meshing clearance, leading to a decrease in reducer stability.