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TECHNICAL BRIEFS

# Three-Dimensional Contact Boundary Element Method for Roller Bearing

[+] Author and Article Information
Guangxian Shen, Ming Li

College of Mechanical Engineering,  Yanshan University, Hebei 066004, China

Xuedao Shu

College of Mechanical Engineering,  University of Science and Technology, Beijing 100083, China

J. Appl. Mech 72(6), 962-965 (Jun 14, 2005) (4 pages) doi:10.1115/1.2041662 History: Received November 18, 2002; Revised June 14, 2005

## Abstract

The analysis of the forces and the rigidity of roller bearings is a multi-body contact problem, so it cannot be solved by contact boundary element method (BEM) for two elastic bodies. Based on the three-dimensional elastic contact BEM, according to the character of roller bearing, the new solution given in this paper replaces the roller body with a plate element and traction subelement. Linear elements are used in non-contact areas and a quadratic element is used in the contact area. The load distribution among the roller bodies and the load status in the inner rolling body can be extracted.

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Copyright © 2005 by American Society of Mechanical Engineers
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## Figures

Figure 1

Four row short cylinder roller bearing

Figure 2

Boundary discrete model

Figure 3

Distribution of traction on the subelement

Figure 4

Contact conditions described by plate element. 1. Outer ring 2. Middle rollers (plate element) 3. Inner ring

Figure 5

Roller bearings mounted on the work roll. 1. Roll 2. Four row short cylindrical roller bearing 3. Chock 4. Double row angular contact ball bearing.

Figure 6

Boundary element model of the roll

Figure 7

Boundary element model of the chock

Figure 8

3D distribution of the load on four-row cylinder roller bearing under open restrain conditions

Figure 9

Circumferential distributions of the load on thrust bearing under open restrain conditions

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