In this paper, the radial and axial vibrations of a rigid shaft supported by a pair of angular contact ball bearings is studied. The effect of bearing running surface waviness on the vibration of the shaft is investigated. A computer program was developed to simulate inner race, outer race, and rolling surface waviness with the results presented in time and frequency domains. Results obtained from the similation programme are quantatively in good aggrement with various authors’ experimental researches.

1.
Aktu¨rk, N., Uneeb, M., and Gohar, R., 1992, “Vibration of a Shaft Supported by Angular Contact Ball Bearings,” ASME Paper: PD-Vol. 47-5, ESDA Joint Conference on Engineering Systems Design and Analysis, June 29–July 3, Istanbul, Turkey, pp. 95–101.
2.
Aktu¨rk, N., 1993, “Dynamics of A Rigid Shaft Supported by Angular Contact Ball Bearings,” Ph.D. thesis. Imperial College of Science, Technology and Medicine, London, UK.
3.
Aktu¨rk
N.
, and
Gohar
R.
,
1994
, “
Damping the Vibrations of a Rigid Shaft Supported by Ball Bearings by Means of External Elastomeric O-Ring Dampers
,”
Proc. I. Meek E., Part J: Engineering Tribology
, Vol.
208
, pp.
183
190
.
4.
Aktu¨rk
N.
,
Uneeb
M.
, and
Gohar
R.
,
1997
, “
The Effects of Number of Balls and Preload on Vibrations Associated with Ball Bearings
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
119
, Oct., pp.
747
753
.
5.
Aktu¨rk
N.
, and
Gohar
R.
,
1998
, “
The Effects of Ball Size Variation on Vibrations Associated with Ball Bearings
,”
Proc. IMechE., Part J: Engineering Tribology
, Vol.
212
, 1998, pp.
101
110
.
6.
Cena, K. M., and Hobbs, R. A., 1972, “The Effects of Ball Quality, Radial Clearance and Grease Specification on the Noise and Vibration of an Electric Motor,” Tribology Conventions, IMechE, London, pp. 93-102.
7.
Franco, J., Aktu¨rk, N., and Gohar, R., 1992, “Vibration of a Rigid Shaft Supported by Radial Ball Bearings with Several Defects,” ASME Paper No: 92-GT-164, Int. Gas Turbine and Aeroengine Congress and Exposition, Cologne, Germany, June 1–4.
8.
Gad, E. H., Fukata, S., and Tamura, H., 1984a, “Computer Simulation of Rotor Radial Vibration due to Ball Bearings,” Memoirs of the Faculty of Engineering, Kyushu University, Vol. 44, No. 1 June, pp. 83–111.
9.
Gad, E. H., Fukata, S., and Tamura, H., 1984b, “Computer Simulation of Rotor Axial and Radial Vibrations Based on Ball Bearings,” Memoirs of the Faculty of Engineering, Kyushu University, Vol. 44, No. 2, June, pp. 169–189.
10.
Gupta
P. K.
,
1988
, “
On the Geometrical Imperfections in Ball Bearing
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
110
, Jan., pp.
19
25
.
11.
Gustafsson, O. G., Tallian, T. et al, 1963, “Research Report on Study of The Vibration Characteristics of Bearings,” Dec. Report: AL631O23, Reg: 585 14: 4223, SKF Ind., Inc.
12.
Harris, T. A., 1991, Rolling Bearings Analysis, Wiley, New York.
13.
Meyer
L. D.
,
Ahlgren
F. F.
, and
Weichbrodt
B.
,
1980
, “
An Analytical Model for Ball Bearing Vibrations to Predict Vibration Response to Distributed Defects
,”
ASME Journal of Mechanical Design
, Vol.
102
, Apr., pp.
205
210
.
14.
Rahnejat, H., and Gohar, R., 1985, “Vibration of Radial Ball Bearings,” Proc. IMechE, Vol. 119, No: C3, London, U.K., pp. 181–193.
15.
Sayles
R.
, and
Poon
S. Y.
,
1981
, “
Surface Topography and Rolling Element Vibration
,”
J. Precision Engg.
, Vol.
3
, No.
3
, pp.
137
144
.
16.
SKF, 1961, “The Measurement of Vibration in Ball Bearings,” The Ball Bearing Journal, pp. 2–8.
17.
Thomas, T. R., 1982, Rough Surfaces, Longman, London, U.K.
18.
Wardle, F. P., and Poon, S. Y., 1983, “Rolling Bearings Noise, Cause and Cure,” Chart. Mech. Engineering, July/Aug., pp. 36–40.
19.
Wardle
F. P.
,
1988
a, “
Vibration Forces Produced by Waviness of the Rolling Surfaces of Thrust Loaded Ball Bearings, Part 1: Theory
,”
Proc. IMechE
, Vol.
202
, No.
C5
, pp.
305
312
.
20.
Wardle
F. P.
,
1988
b, “
Vibration Forces Produced by Waviness of the Rolling Surfaces of Thrust Loaded Ball Bearings, Part 2: Experimental Validation
,”
Proc. IMechE
, Vol.
202
, No.
C5
, pp.
305
312
.
21.
Yhland
E. M.
,
1967
, “
Waviness Measurement—An Instrument for Quality Control in Rolling Bearing Industry
,”
Proc. IMechE
, Vol.
182
, Part 3K, pp.
438
445
.
This content is only available via PDF.
You do not currently have access to this content.