The analysis of contact ratio of involute internal beveloid gears with small tooth difference

Abstract

This paper proposes a calculation method for the contact ratio of internal beveloid gear pairs with small tooth number difference (IBGPSTND) based on the finite element method (FEM). The mathematical model and finite element model of the IBGPSTND are established. The influence of the design parameters of the IBGPSTND on the contact ratio is studied. The difference between the contact ratio calculated by the analytical method and the FEM is analyzed. The results show that the number of teeth difference, the addendum coefficient, and the pitch cone angle have a greater influence on the contact ratio. Under the influence of the multi-tooth elastic meshing effect, the contact ratio of IBGPSTND calculated by the analytical method and the FEM is significantly different. The increase of the load torque will aggravate the effect of the multi-tooth elastic meshing effect and increase the contact ratio, and a larger contact ratio can effectively reduce the maximum Mises stress and increase gear meshing stiffness.