A Method of Local Synthesis of Gears Grounded on the Connections Between the Principal and Geodetic Curvatures of Surfaces

[+] Author and Article Information
F. L. Litvin

Department of Materials Engineering, University of Illinois at Chicago Circle, Chicago, IL

Y. Gutman

MTS Systems Corporation, Minneapolis, MN

J. Mech. Des 103(1), 114-122 (Jan 01, 1981) (9 pages) doi:10.1115/1.3254841 History: Received March 01, 1980; Online November 17, 2009


A spatial gear-mechanism with double curvature tooth surfaces is discussed. The following results are obtained: a) the relationship between the principal curvatures of the surfaces, b) the conditions under which the path of the contact point on the surface is a geodetic line in the local sense. A method of synthesis of mismatched gearing proposed here permits determination of optimal conditions of meshing in the vicinity of the main contact point.

Copyright © 1981 by ASME
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