A new method for analyzing tooth surface meshing characteristics of helical non-circular gears based on tooth surface topology structure

Helical non-circular gears (HNCG) can improve load-bearing capacity while ensuring variable ratio transmission. Nevertheless, the differences between tooth profiles make it difficult to obtain the dynamic meshing characteristics, which seriously affects the application and promotion of HNCG.Thus, the paper focuses on the dynamic meshing process of HNCG, and a finite element model of the full tooth surface loaded contact based on tooth surface topology structure will be established. The distribution patterns of strain, stress, pressure, displacement, angular velocity, and angular acceleration of the tooth surface meshing unit is obtained. The dynamic matching mechanism between the meshing characteristics mentioned above and the distribution position of gear teeth is explored, and a method for constructing a full tooth surface meshing dataset is obtained. The results indicate that the differences between the tooth profiles of HNCG are also mapped to the distribution pattern of tooth surface meshing data, and the meshing characteristics are closely related to the distribution position of the teeth on the pitch curve. With the different distribution positions of gear teeth on the pitch curve, the displacement, velocity, and tooth surface pressure of the contact points of HNCG show a gradually increasing distribution pattern along the long axis of the pitch curve towards the short axis end, and the von-mises stress shows a decreasing distribution pattern along the long axis of the pitch curve towards the short axis end. The analysis method proposed in this article can provide theoretical basis and technical support for the analysis of dynamic transmission characteristics of other types of complex profile gears.