Effect of Internal Gear Flexibility on the Quasi-Static Behavior of a Planetary Gear Set-Reference-Cited by-同舟云学术

Effect of Internal Gear Flexibility on the Quasi-Static Behavior of a Planetary Gear Set

Published:2000-05-01 Issue:3 Volume:123 Page:408-415
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Kahraman Ahmet¹,Vijayakar Sandeep²

Affiliation:

1. Center for Gear Research The University of Toledo Nitschke Hall 4045, Toledo, OH 43606-3390

2. Advanced Numerical Solutions Inc. 3956 Brown Park Dr. Suite B, Hilliard, OH 43026

Abstract

Effect of flexibility of an internal gear on the quasi-static behavior of a planetary gear set is investigated. A state-of-the-art finite elements/semi-analytical nonlinear contact mechanics formulation is employed to model a typical automotive automatic transmission planetary unit. The model considers each gear as deformable bodies and meshes them to predict loads, stresses and deformations of the gears. Actual support and spline conditions are included in the model. The rim thickness of the internal gear is varied relative to the tooth height and gear deflections and bending stresses are quantified as a function of rim thickness. Influence of rim thickness on the load sharing amongst the planets is also investigated with and without floating sun gear condition. The results are discussed in detail and guidelines regarding the design of a planetary internal gear are presented.

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/123/3/408/5499983/408_1.pdf

Reference27 articles.

1. Colbourne, J. R., 1987, “The Geometric Design of Internal Gear Pairs,” AGMA Technical Paper, 87 FTM 2.

2. Cunliff, F., Smith, J. D., and Welbourne, D. B., 1974, “Dynamic Tooth Loads in Epicyclic Gears,” ASME J. Eng. Ind. May, pp. 578–584.

3. Hidaka, T., Terauchi, Y., and Nagamura, K., 1979, “Dynamic Behavior of Planetary Gear (7th Report, Influence of the Thickness of the Ring Gear),” Bull. JSME, 22, pp. 1142–1149.

4. Balasubramanian, B., 1993, “Dynamische Lastferteilung in Planetensatzen,” Ph.D. Dissertation, University of Karlsruhe, Germany.

5. Lewicki, D. G., and Ballarini, R., 1996, “Effect of Rim Thickness on Gear Crack Propagation Path,” Proceedings of the AMSE International Power Transmission and Gearing Conference, DE-Vol-88, pp. 53–64.

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