Sage Journals: Discover world-class research

Abstract

This study proposes a dynamic model of a deep-groove ball bearing with six degrees of freedom. The model includes descriptions of non-linear Hertzian contact deformation and elastohydrodynamic (EHD) fluid film. The geometry, material properties and diametral clearance of the bearing are given as the input to the proposed model. The bearing force and torque components are calculated from the relative displacements and velocities between bearing rings. Distributed defects, such as the waviness of the inner and outer ring, and localized defects, such as inner and outer ring defects, are taken into consideration in the proposed model. The proposed ball bearing model could be used in the general multi-body or rotor dynamics computer code as an interference element between the rotor and the housing. The numerical results obtained from the model are compared with those found in the literature in Part 2 of this paper.

Keywords

ball bearings dynamic analysis localized and distributed defects

Get full access to this article

View all access options for this article.

References

Aktürk

Uneeb

Gohar

The effects of number of balls and preload on vibrations associated with ball bearings

J. Tribology, 1997, 119, 747–753.

Tiwari

Gupta

Prakash

Effect of radial internal clearance of a ball bearing on the dynamics of a balanced horizontal rotor

J. Sound and Vibr., 2000, 238, 723–756.

Tiwari

Gupta

Prakash

Dynamic response of an unbalanced rotor supported on ball bearings

J. Sound and Vibr., 2000, 238, 757–779.

Tandon

Choudhury

A review of vibration and acoustic measurement methods for the detection of defects in rolling element bearings

Tribology Int., 1999, 32, 469–480.

Gupta

P. K.

On the geometrical imperfections in ball bearings

J. Tribology, 1988, 110, 19–25.

Wardle

F. P.

Vibration forces produced by waviness of the rolling surfaces of trust loaded ball bearing. Part 1: Theory

Proc. Instn Mech. Engrs, Part C: J. Mechanical Engineering Science, 1988, 202, 305–312.

Wardle

F. P.

Vibration forces produced by waviness of the rolling surfaces of trust loaded ball bearing. Part 2: Experimental validation

Proc. Instn Mech. Engrs, Part C: J. Mechanical Engineering Science, 1988, 202, 313–319.

Yhland

A linear theory of vibration caused by ball bearings with form errors operating at moderate speed

J. Tribology, 1992, 114, 348–359.

Aktürk

The effect of waviness on vibrations associated with ball bearings

J. Tribology, 1999, 121, 667–677.

10.

Lynagh

Rahnejat

Ebrahimi

Aini

Bearing induced vibration in precision high speed spindles

Int. J. Mach. Tools and Mf., 2000, 40, 561–577.

11.

Jang

G. H.

Jeong

S. W.

Nonlinear excitation model of ball bearing waviness in a rigid rotor supported by two or more ball bearings considering five degrees of freedom

J. Tribology, 2002, 124, 82–90.

12.

Tandon

Choudhury

An analytical model for the prediction of the vibration response of rolling element bearings due to a localized defect

J. Sound and Vibr., 1997, 205, 275–292.

13.

Taylor

J. I.

The Vibration Analysis Handbook, 1st edition, 1994 (Vibration Consultants, Tampa).

14.

Lee

Y.-S.

Lee

C.-W.

Modelling and vibration analysis of misaligned rotor-ball bearing systems

J. Sound and Vibr., 1999, 224, 17–32.

15.

Keskiniva

Simulation and balancing of flexible rotors in terms of semidefinite modal coordinates. Doctoral thesis, Tampere University of Technology, 1997, 125 pp.

16.

Hamrock

B. J.

Fundamentals of Fluid Film Lubrication, 1994 (McGraw-Hill, New York).

17.

Hamrock

B. J.

Dowson

Isothermal elastohydrodynamic lubrication of point contacts. Part I: Theoretical formulation

J. Lubrication Technol., 1976, 98, 223–229.

18.

Brewe

D. E.

Hamrock

B. J.

Simplified solution for elliptical-contact deformation between two elastic solids

J. Lubrication Technol., 1977, 99, 485–487.

19.

Hamrock

B. J.

Dowson

Isothermal elastohydrodynamic lubrication of point contacts. Part III: Fully flooded results

J. Lubrication Technol., 1977, 99, 264–276.

20.

Hamrock

B. J.

Dowson

Ball Bearing Lubrication, 1981 (John Wiley & Sons, New York).

21.

Harris

T. A.

Rolling Bearing Analysis, 3rd edition, 1990 (John Wiley & Sons, New York).

22.

SKF Bearing Handbook, 1991 (Turin).

23.

Dietl

Wensing

van Nijen

G. C.

Rolling bearing damping for dynamic analysis of multi-body systems—experimental and theoretical results

Proc. Instn. Mech. Engrs Part K: J. Multi-body Dynamics, 2000, 214, 33–43.

24.

Mitsuya

Sawai

Shimizu

Aono

Damping in vibration transfer through deep-groove ball bearings

J. Tribology, 1998, 120, 413–420.

25.

Aini

Rahnejat

Gohar

Vibration modeling of rotating spindles supported by lubricated bearings

J. Tribology, 2002, 124, 158–165.

26.

Krämer

Dynamics of Rotors and Foundations, 1993 (Springer-Verlag, Berlin).

Dynamic model of a deep-groove ball bearing including localized and distributed defects. Part 1: Theory

Abstract

Abstract

Keywords

Get full access to this article

References