Abstract
This paper describes the analytical method for calculating contact stresses in spur, helical and bebel gears using the boundary element method. Since, in many old studies based on the three dimensional finite element analysis, the elasto-static singularity of contact line is not adequately taken into account, exact analytic expression must be derived for the computation of stress distribution along the instant narrow strip zone of contact with infinitesimal width. In this paper, the author presents a convenient and practical way of calculating the load distribution along the contact line of gear teeth by applying the boundary element technique. The advantage in applying the boundary element method to the contact problem of meshing gears is to easily take the direct relationship between tooth stiffness and tooth surface contact load.