An Effective Method for Three-Dimensional Finite Element Analysis of a Gear Pair Under Partial Contact

Abstract

A new method is proposed to estimate, by a three-dimensional finite element method, the distribution of tooth root stress of a gear pair under partial and nonuniform contact. In this method, the usual finite element program can be used with no special changes. To check the accuracy of the present method, a contact problem using two circular discs is analysed. Compared with the results by Hertz theory, accurate numerical results are obtained by this new method. A pair of spur gears with lead error, which results in partial contact, is also analysed by the present method, and the distribution of tooth root stress and tooth deflection are obtained. The results are compared with those given by the draft proposal of the ISO and by the standards of the AGMA.