Contribution of Gear Body to Tooth Deflections—A New Bidimensional Analytical Formula-Reference-Cited by-同舟云学术

Contribution of Gear Body to Tooth Deflections—A New Bidimensional Analytical Formula

Published:2004-07-01 Issue:4 Volume:126 Page:748-752
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Sainsot and P.¹,Velex P.¹,Duverger O.²

Affiliation:

1. Contact and Solid Mechanics Laboratory, UMR CNRS 5514 INSA de Lyon, 20 Avenue Albert Einstein, 69 621 Villeurbanne Cedex, France

2. Po^le Machines et Commandes, CETIM Senlis, France

Abstract

The magnitude and variation of tooth pair compliance affects tooth loading and gear dynamics significantly. This paper presents an improved fillet/foundation compliance analysis based on the theory of Muskhelishvili applied to circular elastic rings. Assuming linear and constant stress variations at root circle, the above theory makes it possible to derive an analytical formula for gear body-induced tooth deflections which can be directly integrated into gear computer codes. The corresponding results are in very good agreement with those from finite element models and the formula is proved to be superior to Weber’s widely used equation, especially for large gears.

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/126/4/748/5488724/748_1.pdf

Reference10 articles.

1. Weber, C., 1949, “The Deflection of Loaded Gears and the Effects on their Load Carrying Capacity,” Dept. of Scientific and Industrial Research, Sponsored Research, Germany, Report no 3.

2. Weber, C., and Banaschek, K., 1953, “Forma¨nderung und Profilru¨cknahme bei Gerad-und Schra¨gverzahnten Antriebstechnik,” Heft 11, F. Vieweg und Sohn, Braunschweig, Germany.

3. O’Donnell, W. J. , 1960, “The Additional Deflection of a Cantilever Due to the Elasticity of the Support,” ASME J. Appl. Mech., 27, September, pp. 461–464.

4. O’Donnell, W. J. , 1963, “Stresses and Deflections in Built-In Beams,” ASME J. Eng. Ind., 85, August, pp. 265–273.

5. Attia, A. Y. , 1964, “Deflection of Spur Gear Teeth Cut in Thin Rims,” ASME J. Eng. Ind., 86, November, pp. 333–342.

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