RESEARCH PAPERS: Power Transmission and Gearing

Numerical Implementation of Complex Potentials for Gear Tooth Stress Analysis

[+] Author and Article Information
A. Cardou, G. V. Tordion

Dept. of Mechanical Engineering, Laval University, Quebec, Canada

J. Mech. Des 103(2), 460-465 (Apr 01, 1981) (6 pages) doi:10.1115/1.3254940 History: Received February 01, 1980; Online November 17, 2009


Stresses in spur gear teeth can be calculated by the complex potentials method, using a generalization of Hirano’s conformal mapping. Mathematical programming is used to fit the transformation to a given profile as closely as desired. Complete formulas for stresses and displacements are given in terms of the transformation parameters. Results are compared with other published values.

Copyright © 1981 by ASME
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