Refined dynamics modeling and dynamic performance evaluation method for concave-convex contact s-shaped gear planetary train

Abstract

The present invention provides a refined dynamics modeling and dynamic performance evaluation method for a concave-convex contact S-shaped gear planetary train. Based on an S-shaped gear meshing line equation, the method obtains a slope variation law by differentiating the meshing line equation, derives a U-shaped periodic variation function of the pressure angle within a single-double tooth alternating meshing zone. For the double-tooth meshing zone, an average value of pressure angles at a meshing start point and a meshing end point is taken, synthesizing the periodic variation law of the pressure angle in the single-double tooth alternating meshing zone. A time-varying pressure angle function is fitted through a fourth-order Fourier series. By accurately characterizing the time-varying pressure angle of a curved meshing line gear, the method provides a key excitation input for subsequent dynamics modeling and dynamic performance analysis, ensuring high-precision prediction of vibration and load-bearing characteristics.