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RESEARCH PAPERS: Power Transmission and Gearing Papers

Computer Implementation of an Optimal Conformal Mapping for Gear Tooth Stress Analysis

[+] Author and Article Information
M. J. Richard, A. Cardou

Dept. of Mechanical Engr., Laval University, Quebec, Canada G1K 7P4

D. Pare

General Electric of Canada, 795 First Ave., Lachine, Quebec, Canada H8S 2S8

J. Mech., Trans., and Automation 111(2), 297-305 (Jun 01, 1989) (9 pages) doi:10.1115/1.3258998 History: Received August 01, 1987; Online November 19, 2009

Abstract

This paper describes a computerized version of the complex potential approach which is a comprehensive mathematical model for the stress analysis of spur gear teeth. The entire procedure is a basic application of Hirano’s conformal mapping theory in which laws of elasticity have been combined. The main concepts of the method have been explained in previous publications but the work described herein is an appreciable extension of this relatively new approach. The algorithm is eminently well-suited for computer-aided-design of gear teeth; it serves as the basis for an interactive computer program which can model a gear tooth and can calculate the stresses and displacements within the tooth when subjected to a concentrated load. Results are compared with AGMA’s and other published values.

Copyright © 1989 by ASME
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