RESEARCH PAPERS: Power Transmission and Gearing Papers

Optimal Tooth Numbers for Compact Standard Spur Gear Sets

[+] Author and Article Information
M. Savage

Department of Mechanical Engineering, The University of Akron, Akron, Ohio 44325

J. J. Coy

Propulsion Laboratory, AVRADCOM Research and Technology Laboratories, Lewis Research Center, Cleveland, Ohio 44135

D. P. Townsend

National Aeronautics and Space Administration, Lewis Research Center, Cleveland, Ohio 44135

J. Mech. Des 104(4), 749-757 (Oct 01, 1982) (9 pages) doi:10.1115/1.3256424 History: Received June 18, 1981; Online November 17, 2009


The design of a standard gear mesh is treated with the objective of minimizing the gear size for a given ratio, pinion torque, and allowable tooth strength. Scoring, pitting fatigue, bending fatigue, and the kinematic limits of contact ratio and interference are considered. A design space is defined in terms of the number of teeth on the pinion and the diametral pitch. This space is then combined with the objective function of minimum center distance to obtain an optimal design region. This region defines the number of pinion teeth for the most compact design. The number is a function of the gear ratio only. A design example illustrating this procedure is also given.

Copyright © 1982 by ASME
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