The Modeling of Bevel Gears Using the Exact Spherical Involute

[+] Author and Article Information
M. J. Al-Daccak

CAE Electronics Ltd., Saint-Laurent, Quebec, Canada H4T 1G6

J. Angeles

Department of Mechanical Engineering, McGill University, Quebec, Canada H3A 2K7

M. A. González-Palacios

Universided Iberoamericana Plantel León, Departamento de Ingenieria y Ciencias Aplicadas, León, Gto., Mexico

J. Mech. Des 116(2), 364-368 (Jun 01, 1994) (5 pages) doi:10.1115/1.2919387 History: Received January 01, 1991; Online June 02, 2008


The solid modeling of bevel gears has been recognized as a major design challenge. Various approaches have been proposed to approximate the theoretical involute-generated contact surface of bevel gears. As a means to accurately represent contact surfaces of these gears, the exact spherical involute is introduced here. The solid models of straight and spiral bevel gears are obtained by applying simple sweeping techniques to their tooth profiles, which are described by the exact spherical involute. Futhermore, the volumetric properties of the modeled bevel gears are readily computed from their piecewise-linear approximation.

Copyright © 1994 by The American Society of Mechanical Engineers
Topics: Gears , Modeling
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