Limitations of Conjugate Gear Tooth Surfaces

[+] Author and Article Information
F. L. Litvin, V. Kin, Y. Zhang

Mech. Engr. Dept., University of Illinois, Chicago, IL 60680

J. Mech. Des 112(2), 230-236 (Jun 01, 1990) (7 pages) doi:10.1115/1.2912597 History: Received March 01, 1989; Online June 02, 2008


Gear tooth surfaces being in line contact at every instant are considered. The dimensions of the contacting surfaces must be limited in order to avoid: (a) the appearance of the envelope of lines of contact on the generating surface Σ1 , and (b) the appearance of singular points on the generated surface Σ2 . The relations between the developed concepts and Wildhaber’s concept of the limiting pressure angle are investigated. Applications to the worm-gear drive and the generation of a pinion of a Formate gear drive are considered. Computer graphics have been used to illustrate the results of computation.

Copyright © 1990 by The American Society of Mechanical Engineers
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