A new cepstral analysis procedure with the complex cepstrum for recovering excitations causing multiple transient signal components from vibration signals, especially from rotor vibration signals, has been developed. Along with the problem of singularity, a major problem of the cepstrum is that it cannot provide a correct distribution of the excitations. To solve these problems, a signal preprocessing method, whose function is to provide a definition for the distribution of the excitations along the quefrency axis and remove singular points from the transform, has been added to the cepstrum analysis. With this procedure, a correct distribution of the excitations can be obtained. An example of application to the condition monitoring of rotor machinery is also presented.

1.
Huang, W. H., Xia, S. B., and Liu, R. Y., 1996, Principle, Technology and Application of Machinery Condition Monitoring and Fault Diagnosis, Scientific Press., Beijing, China.
2.
Imam
,
I.
,
Azzaro
,
S. H.
,
Bankert
,
R. J.
, and
Scheibel
,
J.
,
1989
, “
Development of an On-Line Rotor Crack Detection and Monitoring System
,”
ASME J. Vibr. Acoust.
,
111
, No.
2
, pp.
241
250
.
3.
Kuo, Y. W., 1988, “A Microcomputer-Based Vibration Diagnostic System for Steam Turbines and Generators,” Vibrations in Rotating Machinery, Proceedings of the Institute of Mechanical Engineers, Heriot-Watt University, Edinburgh, UK, Sept. 13–15.
4.
Rao, J. S., 1991, Rotor Dynamics, Wiley Eastern Limited, New York.
5.
Ratan
,
S.
,
Baruh
,
H.
, and
Rodriguez
,
J.
,
1996
, “
On-Line Identification and Location of Rotor Cracks
,”
J. Sound Vib.
,
194
, No.
1
, pp.
64
78
.
6.
So¨ffker
,
D.
,
Bajkowski
,
J.
, and
Mu¨ller
,
P. C.
,
1993
, “
Detection of Cracks in Turborotors-A New Observer Based Method
,”
ASME J. Dyn. Syst., Meas., Control
,
115
, No.
3
, pp.
518
524
.
7.
Goldman
,
P.
, and
Muszynska
,
A.
,
1994
, “
Chaotic Behavior of Rotor/Stator Systems with Rubs
,”
ASME J. Eng. Gas Turbines Power
,
116
, No.
3
, pp.
692
701
.
8.
Zhao
,
J. Y.
,
Linnett
,
I. W.
, and
McLean
,
L. J.
,
1994
, “
Stability and Bifurcation of Unbalanced Response of a Squeeze Film Damped Flexible Rotor
,”
ASME J. Tribol.
,
116
, No.
2
, pp.
361
368
.
9.
Chui, C. K., 1992, An Introduction to Wavelets, Volume 1: Wavelet Analysis and Its Applications, Academic Press, Boston, MA.
10.
Sayeed
,
A. M.
, and
Jones
,
D. L.
,
1995
, “
Optimal Detection Using Bilinear Time-Frequency and Time-Scale Representations
,”
IEEE Trans. Signal Process.
,
43
, No.
12
, pp.
2872
2883
.
11.
Choi
,
H.
, and
Williams
,
W. J.
,
1989
, “
Improved Time-Frequency Representation of Multicomponent Signals Using Exponential Kernels
,”
IEEE Trans. Acoust., Speech, Signal Process.
,
37
, No. 6.
12.
Zheng
,
G. T.
, and
McFadden
,
P. D.
,
1999
, “
A Time-Frequency Distribution for Analysis of Signals with Transient Components and Its Application to Vibration Analysis
,”
ASME J. Vibr. Acoust.
,
121
, No.
3
, pp.
328
333
.
13.
Atlas
,
L.
, and
Duhamel
,
P.
, Eds.,
1999
, “
Recent Developments in the Core of Digital Signal Processing
,”
IEEE Signal Process. Mag.
,
16
, No.
1
, pp.
16
31
.
14.
Childers
,
D. G.
,
Shinner
,
D. P.
, and
Kemerait
,
R. C.
,
1977
, “
The Cepstrum: A Guide to Processing
,”
Proc. IEEE
,
65
, No.
10
, pp.
1428
1443
.
15.
Gao
,
Y.
, and
Randall
,
R. B.
,
1996
, “
Determination of Frequency Response Functions From Response Measurements—I. Extraction of Poles and Zeros from Response Cepstra
,”
Mech. Syst. Signal Process.
,
10
, No.
3
, pp.
293
317
.
16.
McCarthy
,
D. J.
, and
Lyon
,
R. H.
,
1995
, “
Recovery of Impact Signatures in Machine Structures
,”
Mech. Syst. Signal Process.
,
9
, No.
5
, pp.
465
483
.
17.
Taxt
,
T.
,
1997
, “
Comparison of Cepstrum-Based Methods for Radial Blind Deconvolution of Ultrasound Images
,”
IEEE Trans. Ultrason. Ferroelectr. Freq. Control
,
44
, No.
3
, pp.
666
674
.
18.
Randall, R. B., 1984, “Separating Excitation and Structural Response Effects in Gearboxes,” Institution of Mechanical Engineers Conference Publications, Bury St. Edmunds, England, pp. 101–107.
19.
Daniel
,
Britton J.
,
1991
, “
Cepstral Analysis for the Recovery of Apex Seal Interaction Forces in Rotary Engines
,”
SAE Trans.
,
100
, No.
3
, pp.
1206
1213
.
20.
DeJong, R. G., Powell, R. E., and Manning, J. E., 1986, “Engine Monitoring Using Vibration Signals,” SAE Paper Series 861246.
21.
Oppenheim, A. V., and Schafer, R. W., 1975, Digital Signal Processing, Prentice-Hall, Englewood Cliffs, New Jersey, pp. 481–530.
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