A New Proposal for Explicit Angle Calculation in Angular Contact Ball Bearing

[+] Author and Article Information
J -F. Antoine1

 LGIPM-CEMA, IUT de Thionville-Yutz, 1 impasse Kastler, 57970 YUTZ, Francejf.antoine@enim.fr

G. Abba

 LGIPM-CEMA, Ecole Nationale d’Ingénieurs de Metz, Île du Saulcy, 57045 METZ Cedex, Franceabba@enim.fr

A. Molinari

LPMM, ISGMP, Université de Metz, Île du Saulcy, BP 80794, 57012 METZ Cedex 1, Francemolinari@lpmm.sciences.univ-metz.fr


To whom correspondence should be addressed.

J. Mech. Des 128(2), 468-478 (Jun 09, 2005) (11 pages) doi:10.1115/1.2168467 History: Received October 11, 2004; Revised June 09, 2005

In order to optimize the mechanical behavior of high speed rotors, it is useful to know the load-displacement law of the angular-contact ball bearing. The relationship between preload, speed, and contact angle is studied and a new analytical approach is proposed, giving explicitly and with good precision the contact angle versus preload and rotational speed for the special case of elastically preloaded high speed angular-contact ball bearing.

Copyright © 2006 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Figure 6

Relative error on preloaded state contact angle between exact angle value and model for different free state contact angles vs load factor

Grahic Jump Location
Figure 7

Convergence of algorithm for contact angles and ZFc∕Fp term in terms of iteration rank (angular-contact ball bearing 218-Fp=2000N and Ω=15,000rpm)

Grahic Jump Location
Figure 8

Angles given by the third iteration of algorithm (curves) and the numerical solving (symbols) in terms of preload and for different rotational speed in the 218 angular contact bearing case

Grahic Jump Location
Figure 2

Preloaded state of ball—parameters

Grahic Jump Location
Figure 3

Dynamic state of the ball under the bearing rotational speed Ω⃗ and the preload F⃗p

Grahic Jump Location
Figure 4

Ball bearing with 7°, 15°, 25°, or 40° contact angle—required iterations number to reach the reference result at 0.1% by the Newton-Raphson method with Harris formulation and with the scheme proposed here

Grahic Jump Location
Figure 5

Convergence of series—returns for given iteration rank and for different free state contact angles

Grahic Jump Location
Figure 9

Convergence of algorithm for contact angles and ZFc∕Fp term in terms of iteration rank (angular-contact ball bearing VEX 6-Fp=4N and Ω=200,000rpm)

Grahic Jump Location
Figure 10

Angles given by the third iteration of algorithm (curves) compared to numerical results (symbols) for various rotational speed Ω in terms of the applied preload Fp

Grahic Jump Location
Figure 1

Free state of the ball

Grahic Jump Location
Figure 11

Angles given after 3 iterations of the algorithm (curves) compared to those given by numerical solving (symbols) for different values of osculation ratio C=ao∕ai in terms of the rotational speed (Fp=8N)




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In