An Analytical Expression for the Time-Varying Contact Length in Perfect Cylindrical Gears: Some Possible Applications in Gear Dynamics

[+] Author and Article Information
M. Maatar, P. Velex

Laboratoire de Mécanique des Contacts—UMR 5514, INSA Lyon, Bât. 113, 20, Avenue Albert Einstein, 69 621 Villeurbanne Cédex, France

J. Mech. Des 118(4), 586-589 (Dec 01, 1996) (4 pages) doi:10.1115/1.2826933 History: Received January 01, 1996; Revised August 01, 1996; Online December 11, 2007


This paper presents an analytical expression of the time-varying contact length between perfect involute spur and helical gears. It is shown that contact lengths can be expressed as Fourier series whose numerical expansions correlate very well with the results of numerical time-step simulations based on contact length discretization. Finally, some possible examples of application in gear dynamics are suggested.

Copyright © 1996 by The American Society of Mechanical Engineers
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