The existence of a “breathing” crack can not only cause variations in harmonic components but also produce extra transient components into vibration signals of a rotor system. In the present paper, the composition of cracked rotor vibration signals is studied first by some analytical methods. Based on this study, an approach of signal processing is suggested to detect transient components of the vibration signals and thereby the crack.

1.
Brown
R. D.
,
Addison
P.
, and
Chan
A. H. C.
,
1994
, “
Chaos in the Unbalance Response of Journal Bearings
,”
Nonlinear Dynamics
, Vol.
5
, pp.
421
432
.
2.
Chui, C. K., 1992, An Introduction to Wavelets. Volume 1: Wavelet Analysis and Its Applications, Academic Press, New York.
3.
Collins
K. R.
,
Plaut
R. H.
, and
Wauer
J.
,
1991
, “
Detection of Cracks in Rotating Timoshenko Shafts Using Axial Impulses
,”
ASME Journal of Vibration and Acoustics
, Vol.
113
, pp.
74
78
.
4.
Davies
W. G. R.
, and
Mayes
I. W.
,
1984
, “
The Vibrational Behaviour of a Multi-Shaft Multi-Bearing System in the Presence of a Propagating Traverse Crack
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
, Vol.
106
, pp.
146
153
.
5.
Dimarogonas, A. D., and Paipetis, S. A., 1983, Analytical Methods in Rotor Dynamics, Applied Science Publishers, London.
6.
Dimarogoans
A. D.
, and
Papadopoulos
C. A.
,
1983
, “
Vibration of Cracked Shafts in Bending
,”
Journal of Sound and Vibration
, Vol.
91
, No.
4
, pp.
583
593
.
7.
Ericsson, U., 1985, “Vibration Monitoring—The State of the Art—With Case Studies,” VDI-Berichte 568, VDI-Verlag, Du¨sseldorf, pp. 289–303.
8.
Friedlander
B.
, and
Porat
B.
,
1989
, “
Detection of Transient Signals by the Gabor Representation
,”
IEEE Transaction, Acoustics, Speech, Signal Processing
, Vol.
37
, No.
2
, pp.
169
180
.
9.
Gasch, R., 1976, “Dynamic Behaviour of a Simple Rotor With a Cross-Sectional Crack,” Vibration in Rotating Machinery, Institution of Mechanical Engineers, London, pp. 123–128.
10.
Gasch, R., 1988, “Dynamics Behaviour of the Laval Rotor With a Cracked Hollow Shaft—a Comparison of Crack Models,” Vibration in Rotating Machinery, Institute of Mechanical Engineers, Edinburgh, pp. 463–472.
11.
Gasch
R.
,
1993
, “
A Survey of the Dynamic Behaviour of a Simple Rotating Shaft With a Transverse Crack
,”
Journal of Sound and Vibration
, Vol.
160
, No.
2
, pp.
313
332
.
12.
Huang
S. C.
,
Huang
Y. M.
, and
Shieh
X. X.
,
1993
, “
Vibration and Stability of Rotating Shaft Containing a Transverse Crack
,”
Journal of Sound and Vibration
, Vol.
163
, No.
3
, pp.
387
401
.
13.
Imam
I.
,
Azzaro
S. H.
,
Bankert
R. J.
, and
Scheibel
J.
,
1989
, “
Development of an On-Line Rotor Crack Detection and Monitoring System
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
, Vol.
111
, pp.
241
250
.
14.
Kra¨mer, E., 1993, Dynamics of Rotors and Foundations, Springer-Verlag.
15.
Lee
C. W.
,
Yun
J. S.
, and
Jun
O. S.
,
1992
, “
Modelling of a Simple Rotor With a Switching Crack and Its Experimental Verification
,”
ASME Journal of Vibration and Acoustics
, Vol.
114
, pp.
217
225
.
16.
Lyon, R. H., 1988, “Vibration Based Diagnostics of Machine Transients,” Sound and Vibration, Sept. (1988), pp. 18–22.
17.
Mayes
I. W.
, and
Davies
W. G. R.
,
1984
, “
Analysis of the Response of a Multi-Rotor-Bearing System Containing a Transverse Crack in a Rotor
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
, Vol.
106
, pp.
139
145
.
18.
McFadden, P. D., and Zheng, G. T., 1993, “Application of the Wavelet Transform to the Early Detection of Gear Failure by Vibration Analysis,” Department of Engineering Science, Oxford University, Report OUEL 1999/93.
19.
Moon, F. C., 1987, Chaotic Vibration, An Introduction for Applied Scientists and Engineers, Wiley, New York.
20.
Mu¨ller
P. C.
,
Bajkowski
J.
, and
So¨ffker
D.
,
1994
, “
Chaotic Motions and Fault Detection in a Cracked Rotor
,”
Nonlinear Dynamics
, Vol.
5
, pp.
233
254
.
21.
Nayfeh, A. H., and Mook, D. T., 1979, Nonlinear Oscillations, Wiley, New York.
22.
Nelson
H. D.
, and
Nataraj
C.
,
1986
, “
The Dynamics of a Rotor System With a Cracked Shaft
,”
ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design
, Vol.
108
, pp.
189
196
.
23.
Oppenheim, A. V., and Willsky, A. S., 1983, Signals and Systems, Prentice-Hall International, Inc., pp. 306–309.
24.
Plaut
R. H.
, and
Andruet
R. H.
,
1994
, “
Behaviour of a Cracked Rotating Shaft During Passage Through a Critical Speed
,”
Journal of Sound and Vibration
, Vol.
173
, No.
5
, pp.
577
589
.
25.
Rao, J. S., 1991, Rotor Dynamics, Wiley Eastern Ltd.
26.
Ratan
S.
,
Baruh
H.
, and
Rodriguez
J.
,
1996
, “
On-Line Identification and Location of Rotor Cracks
,”
Journal of Sound and Vibration
, Vol.
194
, No.
1
, pp.
64
78
.
27.
Reid, J. G., 1983, Linear System Fundamentals: Continuous and Discrete, Classic and Modern, McGraw-Hill, New York.
28.
Scho¨llhorn
V. K.
,
Ebi
G.
, and
Steigleder
K.
,
1993
, “
Frettinganrisse in einem 936-MW-Turbogeneratorrotor
,”
VGB Kraftwerkstechnik
, Vol.
73
, No.
4
, pp.
340
344
.
29.
Sekhar
A. S.
, and
Prabhu
B. S.
,
1992
, “
Crack Detection and Vibration Characteristics of Cracked Shafts
,”
Journal of Sound and Vibration
, Vol.
157
, No.
2
, pp.
375
381
.
30.
So¨ffker
D.
,
Bajkowski
J.
, and
Mu¨ller
P. C.
,
1993
, “
Detection of Cracks in Turborotors—A New Observer Based Method
,”
ASME Journal of Dynamic Systems, Measurement, and Control
, Vol.
115
, pp.
518
524
.
31.
Wauer
J.
,
1990
, “
On the Dynamics of Cracked Rotors: A Literature Survey
,”
Applied Mechanics Review
, Vol.
43
, No.
1
, pp.
13
17
.
32.
Zheng, G.T., and McFadden, P. D., 1994, “Windowed Fourier Transform of Mechanical Vibration Signals,” Department of Engineering Science, Oxford University, Report OUEL 2036/9417.
This content is only available via PDF.
You do not currently have access to this content.