Accurate identification of faults in gearboxes is of vital importance for the safe operation of helicopters. Although hidden Markov models (HMMs) with Gaussian observations have been successfully used for fault diagnostics of mechanical systems, a Gaussian HMM must assume that the observation sequence is generated from a Gaussian process. Conversely, vibration signals from helicopter gearboxes are often non-Gaussian and non-stationary. Also, it always needs to use multi-sensors for more accurate fault diagnostics in practice. Thus, a classical Gaussian HMM may not meet the need of helicopter gearboxes, and it needs to study novel HMMs to model multi-sensor, non-Gaussian signals. This paper presents a multi-sensor mixtured HMM (MSMHMM), which is built on multi-sensor signals. For a MSMHMM, each sensor signal will be considered as the mixture of non-Gaussian sources, so it can depict non-Gaussian observation sequences very well. Then, learning mechanisms of MSMHMM parameters are formulated in detail based on the expectation-maximization (EM) algorithm and a framework of MSMHMM-based fault diagnostics is proposed. In the end, the proposed method is validated on a helicopter gearbox, and the results are very exciting.

References

1.
Paul
,
D. S.
, and
Darryll
,
J. P.
, 2005, “
A Review of Vibration-Based Techniques for Helicopter Transmission Diagnostics
,”
J. Sound Vib.
,
282
, pp.
475
508
.
2.
Rabiner
,
L. R.
, 1989, “
A Tutorial on Hidden Markov Models and Selected Applications in Speech Recognition
,”
Proc. IEEE
,
77
, pp.
257
285
.
3.
Baruah
,
P.
, and
Chinnam
,
R. B.
, 2005, “
HMMs for Diagnostics and Prognostics in Machining Processes
,”
Int. J. Prod. Res.
,
43
, pp.
1275
1293
.
4.
Lee
,
J. M.
,
Kim
,
S. J.
,
Hwang
,
Y.
, and
Song
,
C.
, 2004, “
Diagnosis of Mechanical Fault Signals Using Continuous Hidden Markov Model
,”
J. Sound Vib.
,
276
, pp.
1065
1080
.
5.
Bunks
,
C.
,
McCathy
,
D.
, and
Al-Ani
,
T.
, 2000, “
Condition-Based Maintenance of Machines Using Hidden Markov Models
,”
Mech. Syst. Signal Process.
,
14
, pp.
597
612
.
6.
Wang
,
F. G.
,
Li
,
Y. B.
, and
Luo
,
Z. G.
, 2009, “
Fault Classification of Rolling Bearing Based on Reconstructed Phase Space and Gaussian Mixture Model
,”
J. Sound Vib.
,
323
, pp.
1077
1089
.
7.
Bouillaut
,
L.
, and
Sidahmed
,
M.
, 2001, “
Helicopter Gearbox Vibrations: Cyclostationary Analysis or Bilinear Approach
,”
Proceedings of the International Symposium on Signal Processing and its Application
, pp.
13
16
.
8.
Chen
,
Z. S.
,
Yang
,
Y. M.
,
Hu
,
Z.
, and
Shen
,
G. J.
, 2006, “
Early Fault Detection and Prediction of Complex Rotating Machinery Based on Cyclostationary Time Series Model
,”
ASME J. Vibr. Acoust.
,
128
, pp.
666
671
.
9.
Lee
,
T.-W.
,
Girolami
,
M.
,
Bell
,
A. J.
, and
Sejnowski
,
T. J.
, 2000, “
A Unifying Information-Theoretic Framework for Independent Component Analysis
,”
Comput. Math. Appl.
,
31
, pp.
1
21
.
10.
Mohamed
,
M. A.
, and
Gader
,
P.
, 2000, “
Generalized Hidden Markov Models—Part I: Theoretical Frameworks
,”
IEEE Trans. Fuzzy Syst.
,
8
, pp.
67
81
.
11.
Penny
,
W. D.
, and
Roberts
,
S. J.
, 1998, “
Hidden Markov Models With Extended Observation Densities
,” Technical Report No. TR-98-15.
12.
Everson
,
R.
, and
Roberts
,
S. J.
, 1998, “
Independent Component Analysis: A Flexible Non-Linearity and Decorrelating Manifold Approach
,”
Proceedings of the IEEE Conference on Neural Network and Signal Processing
, pp.
33
42
.
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