Design principle and meshing performance analysis of asymmetric internal meshing gears with meshing line modification

The asymmetric internal meshing gear with meshing line modification is designed in this article. Compared with symmetrical gears, asymmetric gears have better meshing performance. The core of the design principle of asymmetric gears tooth profiles: different meshing lines are designed for the left and right tooth profiles respectively. This further affected the left and right tooth profiles of the gears. Fix the left meshing line (non-working side), and modify the right meshing line (working side). By adjusting the center position of the right meshing line to change the shape variation of the meshing line, different asymmetric gear tooth profiles can be designed. The mathematical model of the tooth profile was derived by using the gear meshing theory, and the data points of the tooth profile were obtained through discrete numerical methods. The tooth profiles of asymmetric gears under different parameters are analyzed, and the variation laws of their tooth profiles are discovered. The changing trend of its sliding ratio is obtained by numerical calculation. The contact stress, tooth root bending stress, meshing stiffness, and transmission error of asymmetric gears under different parameters were analyzed by the finite element method. The changing trends of various meshing characteristics are obtained by comparison. The results show that keeping the center of the meshing line away from the Y f -axis can reduce the contact stress and the tooth root bending stress. Moving the center of the meshing line to the right can improve the meshing stiffness and reduce the transmission error. This study provides a reference for the design of asymmetric internal meshing gears.