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Research Papers

Rigid and Elastic Precision Domains of Ball Bearings

[+] Author and Article Information
Serge Samper

Pierre-Antoine Adragna, Hughes Favreliere, Eric Pairel, Pascal Hernandez

 Université de Savoie, SYMME BP 80439-74944 Annecy le Vieux Cedex, France

J. Comput. Inf. Sci. Eng 12(1), 011004 (Dec 21, 2011) (13 pages) doi:10.1115/1.3615686 History: Received June 20, 2009; Accepted March 21, 2011; Published December 21, 2011; Online December 21, 2011

Ball bearings are complex components where local deformations are the main factor on the global behavior. One problem is the relation between a contact configuration and the load level. When those components are assembled, position errors have important effects on those contact configurations. A rigid ball bearing has very small clearances that give tolerances impossible to achieve. How can the designer write geometric specifications on the assembly taking into account bearing elastic behavior?. We propose a method to identify the limits of those errors according to the ball bearing limits and the clearances. The built model has been compared with industrial references with good accuracy.

Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Small Displacements Torsor components

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Figure 2

Geometric parameters of a ball bearing

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Figure 3

Nominal clearances

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Figure 4

Location parameters of a contact

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Figure 5

(Tx,Ty) displacements of a half bearing

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Figure 6

(Tx,Ty) SDT domain of a ball bearing

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Figure 7

(Tx,Ty,Rz) analytic SDT domain of a ball bearing

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Figure 8

Rigid Domain of a 6209 ball bearing

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Figure 9

Rigid numeric and analytic domains of a 6209 ball bearing

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Figure 10

Radial forces and displacements relations

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Figure 11

Single force diagrams of a 6209 ball bearing

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Figure 12

UR = 1 Displacements and Force domains of a 6209 ball bearing

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Figure 13

Displacements and force graphs

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Figure 14

Angular limit to respect elliptic contact

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Figure 15

Displacements and Force domains according to elliptic truncation of a 6209 ball bearing with Tz = 0 and Ry = 0

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Figure 16

Standards and calculated force domains of a 6209 ball bearing

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Figure 17

Grey dots are for 4200 MPa pressure, light grey are for 1500 MPa, and dark grey are for rigid and static limits domains of a 6209 ball bearing

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Figure 18

Simplified bearing models

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