Calculation of the Stiffness Matrix of Angular Contact Ball Bearings by Using the Analytical Approach-Reference-Cited by-同舟云学术

Calculation of the Stiffness Matrix of Angular Contact Ball Bearings by Using the Analytical Approach

Published:2000-01-01 Issue:1 Volume:122 Page:83-90
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Hernot X.¹,Sartor M.²,Guillot J.²

Affiliation:

1. Institut Universitaire de Technologie de Rennes, De´partement de Ge´nie Me´canique et Productique, Rennes, France

2. Institut National des Sciences Applique´es, Laboratoire de Ge´nie Me´canique de Toulouse, Toulouse, France

Abstract

The stiffness matrix of angular contact ball bearings is calculated by using the analytical approach in which the summation of ball-race loads is replaced by an integration. The matrix connected to the conventional model in two degrees of freedom is first presented. A practical application of this formulation is illustrated through the common problem of sizing a two bearings-shaft arrangement. Variations of displacements, axial forces, and bearing fatigue life related to preload are shown to be easily obtained. Then, the matrix connected to the model in five degrees of freedom is given. This may be coupled with finite elements which are generally used to model the shaft or the housing. [S1050-0472(00)01801-8]

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/122/1/83/5797094/83_1.pdf

Reference9 articles.

1. International Standards Organization, 1991, International Standard ISO 281/1, “Rolling Bearings-Dynamic Load Ratings and Rating Life-Part 1, Calculation methods.”

2. Houpert, L., 1995, “Prediction of Bearing, Gear and Housing Performances,” Proceedings of the Rolling Bearing Practice Today Seminar, I. Mech. E., London, February 1995.

3. Houpert, L. , 1997, “A Uniform Analytical Approach for Ball and Roller Bearings Calculations,” ASME J. Tribol., 119, pp. 851–858.

4. Palmgren, A., 1959, Ball and Roller Bearing Engineering, Burkbank.

5. Sjova¨ll, H., 1933, “The Load Distribution Within Ball and Roller Bearings Under Given External Radial and Axial Load,” Tek. Tidskrift, Mek., h. 9.

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