Abstract

Crack on piezoelectric ceramic is the main reason leading to the degradation of ultrasonic motors. Monitor electrode voltage generated by the positive piezoelectric effect is usually used to monitor the vibration of stator. However, the complexity of monitor electrode voltage signal changes slightly until failure state because of the bonding layer between piezoelectric ceramic and metal elastomer, and it brings difficulties for the degradation state identification. In order to improve the accuracy rate, a method based on segmented fractal dimension and sparse representation was presented in this article. Firstly, segmented fractal dimension was proposed to extract the complexity information of local signal, and the ones of standard samples were taken as the atoms to construct a dictionary. Then, sparse representation of the test sample was calculated according to the constructed dictionary, and the specific steps for the solution were also detailed. Lastly, the test sample’s deviation vectors corresponding to different degradation states were obtained, and the modulus of the vectors were employed to identify the degradation state. The experimental results show that this method is feasible and effective for the degradation state identification of piezoelectric ceramic. It is meaningful for the condition-based maintenance of ultrasonic motors.

References

1.
Stepanenko
D. A.
and
Minchenya
V. T.
, “
Development and Study of Novel Non-contact Ultrasonic Motor Based on Principle of Structural Asymmetry
,”
Ultrasonics
52
, no. 
7
(
2012
): 866–872, https://doi.org/10.1016/j.ultras.2012.02.004
2.
Zhou
X.
,
Chen
W.
, and
Liu
J.
, “
Novel 2-DOF Planar Ultrasonic Motor with Characteristic of Variable Mode Excitation
,”
IEEE Transactions on Industrial Electronics
63
, no. 
11
(
2016
):
6941
6948
, https://doi.org/10.1109/TIE.2016.2586018
3.
An
G.
,
Li
R.
,
Song
K.
,
Sun
H.
, and
Li
H.
, “
Degradation State Identification for Ceramic in Ultrasonic Motor Based on Morphological Boundary Span Analysis
,”
Journal of Failure Analysis and Prevention
19
, no. 
3
(
2019
):
761
770
, https://doi.org/10.1007/s11668-019-00659-1
4.
An
G.
,
Li
H.
, and
Chen
B.
, “
Fault Feature Extraction and Degradation State Identification for Piezoelectric Ceramics Cracking in Ultrasonic Motor Based on Multi-Scale Morphological Gradient
,”
International Journal of Acoustics and Vibration
24
, no. 
4
(
2019
):
749
763
.
5.
Li
Z. C.
, “
A Simple SOM Neural Network Based Fault Detection Model for Fault Diagnosis of Rolling Bearings
,”
Applied Mechanics and Materials
397–400
, no. 
1
(
2013
):
1321
1325
, https://doi.org/10.4028/www.scientific.net/AMM.397-400.1321
6.
Chen
Z.
,
Deng
S.
,
Chen
X.
,
Li
C.
,
Sanchez
R.-V.
, and
Qin
H.
, “
Deep Neural Networks-Based Rolling Bearing Fault Diagnosis
,”
Microelectronics Reliability
75
(August
2017
):
327
333
, https://doi.org/10.1016/j.microrel.2017.03.006
7.
Jiao
X.
,
Jing
B.
,
Huang
Y.
,
Li
J.
, and
Xu
G.
, “
Research on Fault Diagnosis of Airborne Fuel Pump Based on EMD and Probabilistic Neural Networks
,”
Microelectronics Reliability
75
(August
2017
):
296
308
, https://doi.org/10.1016/j.microrel.2017.03.007
8.
Sugumaran
V.
,
Muralidharan
V.
, and
Ramachandran
K. I.
, “
Feature Selection Using Decision Tree and Classification through Proximal Support Vector Machine for Fault Diagnostics of Roller Bearing
,”
Mechanical Systems and Signal Processing
21
, no. 
2
(
2007
):
930
942
, https://doi.org/10.1016/j.ymssp.2006.05.004
9.
Wandekokem
E. D.
,
Mendel
E.
,
Fabris
F.
,
Valentim
M.
,
Batista
R. J.
,
Varejão
F. M.
, and
Rauber
T. W.
, “
Diagnosing Multiple Faults in Oil Rig Motor Pumps Using Support Vector Machine Classifier Ensembles
,”
Integrated Computer-Aided Engineering
18
, no. 
1
(
2011
):
61
74
, https://doi.org/10.3233/ICA-2011-0361
10.
Martínez-Morales
J. D.
,
Palacios-Hernández
E. R.
, and
Campos-Delgado
D. U.
, “
Multiple-Fault Diagnosis in Induction Motors through Support Vector Machine Classification at Variable Operating Conditions
,”
Electrical Engineering
100
, no. 
1
(
2018
):
59
73
, https://doi.org/10.1007/s00202-016-0487-x
11.
Zhang
J.
,
Liu
C.-W.
,
Bi
F.-R.
,
Bi
X.-B.
, and
Yang
X.
, “
Fault Feature Extraction of Diesel Engine Based on Bispectrum Image Fractal Dimension
,”
Chinese Journal of Mechanical Engineering
31
, no. 
1
(
2018
): 40, https://doi.org/10.1186/s10033-018-0230-9
12.
Li
J.
,
Cao
Y.
,
Ying
Y.
, and
Li
S.
, “
A Rolling Element Bearing Fault Diagnosis Approach Based on Multifractal Theory and Gray Relation Theory
,”
PLOS ONE
11
, no. 
12
(
2016
): e0167587, https://doi.org/10.1371/journal.pone.0167587
13.
Zheng
Z.
,
Jiang
W.
,
Wang
Z.
,
Zhu
Y.
, and
Yang
K.
, “
Gear Fault Diagnosis Method Based on Local Mean Decomposition and Generalized Morphological Fractal Dimensions
,”
Mechanism and Machine Theory
91
(September
2015
):
151
167
, https://doi.org/10.1016/j.mechmachtheory.2015.04.009
14.
Liu
H.
,
Liu
C.
, and
Huang
Y.
, “
Adaptive Feature Extraction Using Sparse Coding for Machinery Fault Diagnosis
,”
Mechanical Systems and Signal Processing
25
, no. 
2
(
2011
):
558
574
, https://doi.org/10.1016/j.ymssp.2010.07.019
15.
Qin
Y.
, “
A New Family of Model-Based Impulsive Wavelets and Their Sparse Representation for Rolling Bearing Fault Diagnosis
,”
IEEE Transactions on Industrial Electronics
65
, no. 
3
(
2018
):
2716
2726
, https://doi.org/10.1109/TIE.2017.2736510
16.
Du
Z.
,
Chen
X.
,
Zhang
H.
, and
Yan
R.
, “
Sparse Feature Identification Based on Union of Redundant Dictionary for Wind Turbine Gearbox Fault Diagnosis
,”
IEEE Transactions on Industrial Electronics
62
, no. 
10
(
2015
):
6594
6605
, https://doi.org/10.1109/TIE.2015.2464297
17.
Tang
G.
,
Yang
Q.
,
Wang
H.-Q.
,
Luo
G.-G.
, and
Ma
J.-W.
, “
Sparse Classification of Rotating Machinery Faults Based on Compressive Sensing Strategy
,”
Mechatronics
31
(October
2015
):
60
67
, https://doi.org/10.1016/j.mechatronics.2015.04.006
18.
Serra
J.
,
Image Analysis and Mathematical Morphology
(
Orlando, FL
:
Academic Press
,
1982
).
19.
Li
B.
,
Zhang
P.-L.
,
Ren
G.-Q.
,
Liu
D.-S.
, and
Mi
S.-S.
, “
Mathematic Morphology-Based Fractal Dimension Calculation and Its Application in Fault Diagnosis of Roller Bearings
,”
Journal of Vibration and Shock
29
, no. 
5
(
2010
):
191
194
, https://doi.org/10.13465/j.cnki.jvs.2010.05.053
20.
Zhou
H.
,
Chen
J.
,
Dong
G.
, and
Wang
R.
, “
Detection and Diagnosis of Bearing Faults Using Shift-Invariant Dictionary Learning and Hidden Markov Model
,”
Mechanical Systems and Signal Processing
72–73
, no. 
1
(
2016
):
65
79
, https://doi.org/10.1016/j.ymssp.2015.11.022
21.
He
G. L.
,
Ding
K.
, and
Lin
H.
, “
Fault Feature Extraction of Rolling Element Bearings Using Sparse Representation
,”
Journal of Sound and Vibration
366
, no. 
1
(
2016
):
514
527
, https://doi.org/10.1016/j.jsv.2015.12.020
22.
Amaldi
E.
and
Kann
V.
, “
On the Approximability of Minimizing Nonzero Variables or Unsatisfied Relations in Linear Systems
,”
Theoretical Computer Science
209
, nos. 
1–2
(
1998
):
237
260
, https://doi.org/10.1016/S0304-3975(97)00115-1
23.
Bruckstein
A. M.
,
Donoho
D. L.
, and
Elad
M.
, “
From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images
,”
SIAM Review
51
, no. 
1
(
2009
):
34
81
, https://doi.org/10.1137/060657704
24.
An
G.
,
Song
K.
,
Li
R.
,
Sun
H.
, and
Li
H.
, “
Degradation Feature Extraction Method for Piezoelectric Ceramic of Ultrasonic Motor Based on DCT-SV Cross Entropy
,”
Journal of Vibroengineering
21
, no. 
6
(
2019
):
1651
1664
, https://doi.org/10.21595/jve.2019.20525
25.
An
G.
and
Li
H.
, “
Degradation State Identification of Cracked Ultrasonic Motor by Means of Fault Feature Extraction Method
,”
Shock and Vibration
2019
(
2019
): 5180590, https://doi.org/10.1155/2019/5180590
26.
Li
H.
,
Wang
Y.
,
Wang
B.
,
Sun
J.
, and
Li
Y.
, “
The Application of a General Mathematical Morphological Particle as a Novel Indicator for the Performance Degradation Assessment of a Bearing
,”
Mechanical Systems and Signal Processing
82
(January
2017
):
490
502
, https://doi.org/10.1016/j.ymssp.2016.05.038
27.
Lin
Y.-H.
,
Lee
P.-C.
, and
Chang
T.-P.
, “
Practical Expert Diagnosis Model Based on the Grey Relational Analysis Technique
,”
Expert Systems with Applications
36
, no. 
2
, part 1 (
2009
):
1523
1528
, https://doi.org/10.1016/j.eswa.2007.11.046
28.
Wang
B.
,
Li
H.-R.
, and
Xu
B.-H.
, “
Motor Bearing Forecast Feature Extracting and Degradation Status Identification Based on Multi-Scale Morphological Decomposition Spectral Entropy
,”
Journal of Vibration and Shock
32
, no. 
22
(
2013
):
124
128
, https://doi.org/10.13465/j.cnki.jvs.2013.22.037
29.
Zhang
X.
and
Zhou
J.
, “
Multi-Fault Diagnosis for Rolling Element Bearings Based on Ensemble Empirical Mode Decomposition and Optimized Support Vector Machines
,”
Mechanical Systems and Signal Processing
41
, nos. 
1–2
(
2013
):
127
140
, https://doi.org/10.1016/j.ymssp.2013.07.006
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