An Analytical Expression for the Time-Varying Contact Length in Perfect Cylindrical Gears: Some Possible Applications in Gear Dynamics-Reference-Cited by-同舟云学术

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

Published:1996-12-01 Issue:4 Volume:118 Page:586-589
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Maatar M.¹,Velex P.¹

Affiliation:

1. Laboratoire de Me´canique des Contacts—UMR 5514, INSA Lyon, Baˆt. 113, 20, Avenue Albert Einstein, 69 621 Villeurbanne Ce´dex, France

Abstract

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.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/118/4/586/5666870/586_1.pdf

Reference9 articles.

1. Blankenship, G. W., and Singh, R., 1992, “A Comparative Study of Selected Mesh Interface Dynamic Models,” Proc. 6th ASME Int. Conf. Power Trans. Gearing, Phoenix, Vol. 1, pp. 137–146.

2. Blankenship G. W. , and SinghR., 1995, “A New Gear Mesh Interface Dynamic Model to Predict Multi-Dimensional Force Coupling and Excitation,” Mechanism and Machine Theory Journal, Vol. 30, No. 1, pp. 43–57.

3. Blankenship G. W. , and SinghR., 1995, “Analytical Solution for Modulation Sidebands Associated With a Class of Mechanical Oscillators,” Journal of Sound and Vibration, Vol. 179, No. 1, pp. 13–36.

4. Cai Y. , 1995, “Simulation of the Rotational Vibration of Helical Gears in Consideration of the Tooth Separation Phenomenon (A New Stiffness Function of Helical Involute Tooth Pair),” ASME Journal of Mechanical Design, Vol. 117, pp. 460–469.

5. Draft International Standard ISO/DIS 6336-1.2, 1990, “Calculation of Load Capacity of Spur and Helical Gears—Part I: Basic Principles, Introduction and Influence Factors,” pp. 87–95.

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