Among the advanced techniques of the predictive maintenance, the vibratory analysis proves to be very effective, in particular, for monitoring rotating components such as the bearings. Their damage creates cyclic efforts which are at the origin of the processing of vibratory measurements. This processing can be made by temporal methods, frequential methods, or by time-scale methods using the wavelets for 2 decades. The wavelet transform is a very effective processing, however, the difficulties of application and interpretation of the results slow down their employment. The determination of the parameters of the wavelets makes its use all the more difficult. Moreover, the use of these time-scale methods is very expensive in time computation. This paper proposes a wavelet adapted to the mechanical shock response of a structure with n degrees of freedom. In addition, we developed a procedure for analysis of signals by this wavelet which makes it possible to accelerate the process and to improve detection in the case of disturbed signals. This methodology is compared with the traditional time-scale methods and is implemented to detect defects of different sizes on outer rings and inner rings of ball bearings.

1.
Nélias
,
D.
,
Dumont
,
N. L.
,
Couhier
,
F.
,
Dudragne
,
G.
, and
Flamand
,
L.
, 1998, “
Experimental and Theorical Investigation on Rolling Contact Fatigue of 52100 and M50 Steels under EHL or Micro-EHL conditions
,”
ASME J. Tribol.
0742-4787,
120
, pp.
184
190
.
2.
Choudhury
,
A.
, and
Tandon
,
N.
, 1998, “
A Theoretical Model to Predict Vibration Response of Rolling Bearings to Distributed Defects under Radial Load
,”
Trans. ASME, J. Vib. Acoust.
1048-9002,
120
(
1
), pp.
214
220
.
3.
Meyer
,
L. D.
,
Ahlgren
,
F. F.
, and
Weichdrdt
,
B.
, 1980, “
An Analytic Model for Ball Bearing Vibrations to Predict Vibration Response to Distributed Defects
,”
ASME J. Mech. Des.
0161-8458,
102
, pp.
205
210
.
4.
Tandon
,
N.
, and
Choudhury
,
A.
, 1999, “
A Review of Vibration and Acoustic Measurement Methods for the Detection of Defects in Rolling Element Bearings
,”
Tribol. Int.
0301-679X,
32
, pp.
469
480
.
5.
Miyachi
,
T.
, and
Seki
,
K.
, 1986, “
An Investigation of the Early Detection of Defects in Ball Bearings Using Vibration Monitoring, Practical Limit of Detectability and Growth Speed of Defects
,”
Proceedings of the International Conference of Rotordynamics
,
Tokyo, Japan
, pp.
403
408
, Paper No. JSME-IFToMM.
6.
Dyer
,
D.
, and
Stewart
,
R. M.
, 1978, “
Detection of Rolling Element Bearing Damage by Statistical Vibration Analysis
,”
Trans. ASME, J. Mech. Design
,
100
(
2
), pp.
229
235
.
7.
McFadden
,
P. D.
, and
Smith
,
J. D.
, 1984, “
Vibration Monitoring of Rolling Element Bearings by the High-Frequency Resonance Technique—A Review
,”
Tribol. Int.
0301-679X,
17
, pp.
3
10
.
8.
Mori
,
K.
,
Kasashima
,
N.
,
Yoshioka
,
T.
, and
Ueno
,
Y.
, 1996, “
Prediction of Spalling on a Ball Bearing by Applying the Discrete Wavelet Transform to Vibration Signals
,”
Wear
0043-1648,
195
, pp.
162
168
.
9.
Peng
,
Z. K.
, and
Chu
,
F. L.
, 2004, “
Application of the Wavelet Transform in Machine Condition Monitoring and Fault Diagnostics: A Review with Bibliography
,”
Mech. Syst. Signal Process.
0888-3270,
18
(
2
), pp.
199
221
.
10.
Sun
,
Q.
, and
Tang
,
Y.
, 2002, “
Singularity Analysis Using Continuous Wavelet Transform for Bearing Fault Diagnosis
,”
Mech. Syst. Signal Process.
0888-3270,
16
(
6
), pp.
1025
1041
.
11.
Rubini
,
R.
, and
Meneghetti
,
U.
, 2001, “
Application of the Envelope and Wavelet Transform Analyses for the Diagnosis of Incipient Faults in Ball Bearings
,”
Mech. Syst. Signal Process.
0888-3270,
15
, pp.
287
302
.
12.
Paya
,
B. A.
,
Esat
,
I. I.
, and
Badi
,
M. N. M.
, 1997, “
Artificial Neural Network Based Fault Diagnostics of Rotating Machinery Using Wavelet Transforms as a Preprocessor
,”
Mech. Syst. Signal Process.
0888-3270,
11
(
5
), pp.
751
765
.
13.
Staszewski
,
W. J.
, 1998, “
Wavelet Based Compression and Feature Selection for Vibration Analysis
,”
J. Sound Vib.
0022-460X,
211
(
5
), pp.
735
760
.
14.
Nikolaou
,
N. G.
, and
Antoniadis
,
I. A.
, 2002, “
Demodulation of Vibration Signals Generated by Defects in Rolling Element Bearings Using Complex Shifted Morlet Wavelets
,”
Mech. Syst. Signal Process.
0888-3270,
16
, pp.
677
694
.
15.
Misiti
,
M.
,
Misiti
,
Y.
,
Oppenheim
,
G.
, and
Poggi
,
J. M.
, 2003,
Wavelets and Their Applications
,
Hermes Science Publications
,
Paris, France
.
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