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. This paper describes a dynamic mathematical model of a new typetwo-stage nutation drive system with double circular-arc bevel gears. Thedynamic displacement–vibration coupling model takes into account the gyro torque and side clearance of the nutating gear. A numerical analysisgeometric model of the nutation drive system is developed. The geometricmodel considers the time-varying and contact deformation of nutation gearmeshing. Subsequently, the model is analyzed using the ANSYS/LS-DYNAsoftware, and the dynamic contact characteristics of the nutation gear arecalculated. The simulation results revealed that the nutation transmissionof the double circular-arc spiral bevel gear is reliable. Moreover, themathematical verification showed that the simulation is feasible and accurate. The research has important significance for improving the toothload capacity and transmission stability of nutation drives.

Contact dynamics analysis of nutation drive with double circular-arc spiral bevel gear based on mathematical modeling and numerical simulation