A Formula for Determining Limit Noninterference Curvature in Pure Rolling Conjugation Gears by Using Geometro-Kinematical Concepts

[+] Author and Article Information
Chih-Hsin Chen

Shanghai University of Technology, Lane 200, House 23, Room 401, Wu-Ning Lu, Shanghai, 200063, China

J. Mech. Des 117(1), 180-184 (Mar 01, 1995) (5 pages) doi:10.1115/1.2826104 History: Received December 01, 1993; Revised July 01, 1994; Online January 25, 2008


Pure rolling conjugation gears are very useful in the cases where lubrication is difficult to implement, such as in cryogenic and/or vacuum environments, and at slow operating speeds. The main problem confronted in the design of the pure rolling conjugation gears is to determine the limit noninterference curvature of one gear when the curvature of the conjugate gear is prescribed. The way of solving this problem becomes very complicated when using the conventional concepts from the classical differential geometry. However, when using the geometro-kinematical concepts from the theory of conjugate surfaces, this problem can be solved explicitly and simply. In this paper, these concepts are introduced, and a closed-form formula for determining the limit noninterference curvature is derived. A numerical example is cited.

Copyright © 1995 by The American Society of Mechanical Engineers
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