Abstract
When the finite element method is applied to the stress analysis of meshing tooth pair, a large difference between dimensions of tooth flank modification and finite elements should be one of the main issues. In the present study, as a solution to the issue, a new element for representing boundary condition at contact area, a tooth flank film element, is proposed. This new element can include particular information on a tooth flank; e. g., tooth modification, geometrical overlap, and radius of curvature, with general information included in a finite element; e. g., coordinate, and displacement. The tooth flank film element enables the boundary condition at contact area to be given as distributed load. Meanwhile, Global Local Finite Element Method, in which a classical analytical solution is combined with finite element solutions on the basis of energy principle, is also applied to the stress analysis of meshing tooth pair. Using the proposed analytical method, the contact problem of semi-infinite body and sphere is analyzed. As a result, validity of the method can be confirmed. Furthermore, the application of the proposed method can also induce reasonable results in the stress analysis of meshing spur gear pair.
