Accurate Tooth Stiffness of Spiral Bevel Gear Teeth by the Finite Strip Method-Reference-Cited by-同舟云学术

Accurate Tooth Stiffness of Spiral Bevel Gear Teeth by the Finite Strip Method

Published:1998-12-01 Issue:4 Volume:120 Page:599-605
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Gosselin C.¹,Gagnon P.²,Cloutier L.¹

Affiliation:

1. Department of Mechanical Engineering, Laval University, Quebec, Canada G1K-7P4

2. National Optics Institute, Que´bec, Canada G1P-4N8

Abstract

A Finite Strip element is presented for the analysis of variable height and thickness gear teeth, curved along a spiral wound on a cone. The formulation, based on Mindlin’s plate theory, accounts for transverse shear deformation and uses localized functions series in the tooth facewidth direction combined with numerical integration in all directions. The formulation is applied to the clamped-free boundary condition, usual in gearing, and supports any type of transverse loads and moments. The precision of the calculated tooth deflection is ascertained through equivalent numerical tests using Finite Element Analysis. Results agree within 5% of bending displacement at the point of load application.

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/120/4/599/5685603/599_1.pdf

Reference18 articles.

1. Weber, C., “The Deformation of Loaded Gears and the Effect on their Load-Carrying Capacity,” Department of Scientific and Industrial Research, Sponsored Research, Germany, 1949.

2. Nakada, T., Utagawa, M., “The Dynamic Loads on Gears Caused by the Varying Elasticity of the Mating Teeth,” Proceedings of the 6th Japanese National Congress for Applied Mechanics, p. 43, 1956.

3. Cardou A. , TordionG., “Calculation of Spur Gear Tooth Flexibility by the Complex Potential Method,” Transactions of the ASME, Vol. 107, March 1985, pp. 38–42.

4. Yau, E., Busby, H., Houser, D., “A Rayleigh-Ritz Approach to Modeling the Bending and Shear Deflections of Gear Teeth,” Proceedings of the Motion and Power Transmission Conference 1991, p. 572, Hiroshima, Japan.

5. Cheung Y. K. , “The Finite Strip Method In The Analysis of Elastic Plates With Two Opposite Simply Supported Ends,” Proc. Inst. Civ. Eng., Vol. 40, pp. 1–7, 1968.

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