Algorithms for analysis of meshing and contact of spiral bevel gears

Abstract

Described are an algorithm for a geometrical and kinematical analysis of meshing and two algorithms for a contact stress analysis, which are distinguished from all other known algorithms. The algorithms are based on grid presentation of contacting surfaces and field of distances between them. Also presented are the computer codes for a spiral bevel gear analysis based on these algorithms. The codes provide contact path, transmission error, bearing contact (assembly of instantaneous contact areas) and contact pressure distribution. The first algorithm for computing of contact pressure uses classical Hertz solution; the second one presents non-Hertz solution of contact problem for elastic solids of finite dimensions using boundary element method. The comparison of results provided by these algorithms is presented for a specific spiral bevel gear.