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On the generation of conjugate flanks for arbitrary gear geometries

✍ Scribed by A. Johann; J. Scheurle

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
231 KB
Volume
32
Category
Article
ISSN
0936-7195

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✦ Synopsis

Abstract

In this paper, we present a novel approach to three‐dimensional mathematical gearing theory. We start from a general formulation of the so called basic law of gear kinematics. Based on that we derive an analytic closed form solution for the generation of conjugate tooth flanks, given a (local) parametric representation for any prescribed flank profile. Also, we study the problem of constructing pairs of tooth flanks that give rise to a prescribed surface of action. Surfaces of action will be represented in an implicit global rather than in a parametric way. To illustrate the general theory, we consider a number of specific examples including the standard involute profile for spur gears as well as a more sophisticated three‐dimensional generalization of that (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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