Accuracy verification of finite element calculation of meshing stiffness of spiral bevel gear

Because the stiffness calculation of spur gears is now very mature, many literatures have given relevant regression formulas. In order to verify the accuracy of the finite element method, the stiffness curve of a pair of spur gears is calculated by calculating the stiffness curve of spiral bevel gears in this paper, and compared with the existing regression formulas.

Stiffness calculation formula this paper adopts the single tooth stiffness calculation formula obtained by Kuang et al. Using the quadratic plane strain isoparametric finite element model and regression fitting. This formula has sufficient accuracy to calculate the single tooth stiffness within a limited range. Set RI as the distance from the meshing point to the gear center O1. Then the calculation formula of single tooth stiffness can be expressed as:

The finite element calculation model is shown in Figure 1. Through the post-processing of finite element results and formula, the stiffness comparison curve of spur gear with parameters in Table 1 can be obtained, as shown in Figure 2.

It can be seen from Figure 2 that the stiffness curve calculated by the same modeling method as spiral bevel gear is basically consistent with the stiffness calculation results in the existing literature, and there are only minor errors caused by different methods.

Because the same element type, boundary conditions and finite element algorithm are used to calculate the stiffness curve of spiral bevel gear, it shows that the analysis method used in this paper has enough accuracy to calculate the stiffness curve of spiral bevel gear.

Scroll to Top