A Basis for the Analysis of Surface Geometry of Spiral Bevel Gears,
CINCINNATI UNIV OH
Pagination or Media Count:
This paper contains a summary of some geometrical procedures helpful in the fundamental studies of the surface geometry of spiral bevel gears. The emphasis of the paper is on those procedures which characterize the geometry so that the surface parametric equations, the principal radii of curvature, and the meshing kinematics are systematically determined. Initially, the focus is on the theoretical, logarithmic spiral bevel gears as defined by Buckingham. These gears, however, are difficult to fabricate and are sometimes considered to be too straight. Hence, as an alternative, most manufacturers and users have employed circular-cut spiral bevel gears. Therefore, the second focus of the paper is the analysis of surface characteristics of crown circular-cut gears.