Nonlinear Dynamic Behavior of Low Sliding Ratio Gear Drives Considering Multiple Time-Varying Parameters

The design of friction-reducing and anti-wear tooth profiles holds great importance as it contributes to reducing frictional losses and to enhancing durability and efficiency, which is essential for the overall performance and service life of gear systems. In this study, the nonlinear dynamics of a novel low sliding ratio (LSR) gear were explored. Based on the geometric features of the tooth profile, time-varying parameters like meshing stiffness, equivalent meshing angle, and the friction coefficient of gear teeth were analyzed. A six-degree-of-freedom dynamic model considering backlash was established, and the influential laws of input rotational speed and backlash on dynamic transmission error (DTE) were obtained. The dynamic characteristics were identified by means of the bifurcation diagram, frequency spectrum, Poincaré map, and phase plane. These results can provide a basis for understanding and controlling the undesired motion of the system and are expected to offer a reference for the optimal design of LSR gears.