A new method for accurate gear tooth contact determination for hypoid bevel gears using automatic differentiation

Abstract:

Based on a mathematical model of a virtual machine tool we develop necessary and sufficient conditions for a pair of generated gear tooth flanks to be in contact. The approach allows the direct computation of the path of contact as the singular solution set of a nonlinear operator equation using a minimally augmented defining system. As a byproduct we obtain curvature properties of the gear tooth flanks, the reduced curvatures, and contact ellipses at the contact points in a convenient way. By the use of automatic differentiation all geometric quantities are calculable with machine accuracy of the computer.

Año de publicación:

2000

Keywords:

Fuente:

scopus