Illustrative Examples, Two Different Machine Data.
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Transcript of Illustrative Examples, Two Different Machine Data.
![Page 1: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/1.jpg)
Illustrative Examples, Two Different Machine Data
![Page 2: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/2.jpg)
Illustrative Examples
• Machine Vibration
Moderate
Strong
Knock region
![Page 3: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/3.jpg)
White Noise, Background Noise
0 2000 4000 6000 8000 10000 12000 140000
0.5
1
1.5
2
PS
D B
KG
No
ise
Freq Hz
0 50 100 150 200 250 300 350 400 450 500-0.2
-0.15
-0.1
-0.05
0
Eve
nt-
fre
e S
egm
ent
s
0 500 1000 1500 2000 2500 3000 3500-2
-1
0
1
2
Cy
cle
Dat
a
Acceleration Data, Single Cylinder Engine, Knock Condition
![Page 4: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/4.jpg)
Background Noise Removal
0 500 1000 1500 2000 2500 3000 3500-10
-5
0
5
10
De
nois
ed
Signal with Backgroung Noise Removed
0 500 1000 1500 2000 2500 3000 3500-10
-5
0
5
10Cylinder Head Vibrations, Original and Denoised, Cycle #1
Ori
gin
al
![Page 5: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/5.jpg)
Wavelet DecompositionMultiresolution
![Page 6: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/6.jpg)
Wavelet Coefficients andDenoising
![Page 7: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/7.jpg)
Residual( Noise Component)
![Page 8: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/8.jpg)
Denoising, Another Example
Thresholded coefficients
Leve
l nu
mbe
r
1000 2000 3000
5
4
3
2
1
1000 2000 3000
-5
0
5
10
Original and de-noised signals
Original coefficients
Leve
l nu
mbe
r
1000 2000 3000
5
4
3
2
1
-5
0
5
d5
Original details coefficients
-5
0
5
d4
-5
0
5
d3
-5
0
5
d2
1000 2000 3000
-10
0
10
d1
![Page 9: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/9.jpg)
![Page 10: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/10.jpg)
Two Stage Denoising of Signals
0 100 200 300-2
-1
0
1
2No Knock Cycle #11
Ori
gin
al
0 100 200 300-2
-1
0
1
2
Den
Sta
ge
1
0 100 200 300-1
-0.5
0
0.5
1
1.5
Den
Sta
ge
2
0 100 200 300-4
-2
0
2
4
0 100 200 300-4
-2
0
2
4
0 100 200 300-4
-2
0
2
4
6 Hard Knock, Cycle #7
![Page 11: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/11.jpg)
Signal component at WP No.38: a) Severe Faulty Condition, b), Mild Fault (b), Fault-free Condition (c).
WP node 38
-0.5
0
0.5
-0.5
0
0.5
1500 1550 1600 1650 1700 1750 1800 1850 1900 1950
-0.5
0
0.5
Sample point
![Page 12: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/12.jpg)
Denoised Signal, WP Node
0 100 200 300-2
-1
0
1
2
Ori
gin
al
No Knock Cycle #6
0 100 200 300-1
-0.5
0
0.5
1
Den
Sta
ge
1
0 100 200 300-0.2
-0.1
0
0.1
0.2
Den
Sta
ge
2
0 100 200 300-2
-1
0
1
2D
en S
tag
e 2
0 100 200 300-4
-2
0
2
4
Den
Sta
ge
1
0 100 200 300-4
-2
0
2
4
Ori
gin
al
Hard Knock Cycle #7
![Page 13: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/13.jpg)
Illustration of Sparsity of Wavelet Coeffs
0 10 20 30-10
0
10
Cy
cle
# 8
0 100 200 300-5
0
5
Mild
Kn
ock
0 100 200 300-1
0
1N
o K
no
ckSignal at High Freq.Band #36
0 100 200 300-5
0
5
Ha
rd K
no
ck
0 10 20 30-10
0
10
20
Cyc
le #
1
0 10 20 30-5
0
5
Cyc
le #
6
Coeffs
![Page 14: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/14.jpg)
Variability of Cyclic Signals
![Page 15: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/15.jpg)
Illustration of Variablity, Spectral Variability, 16 cycles
0 2000 4000 6000 8000 10000 12000 140000
200
4001
6 c
yc
les
Spectrum of Mclean Data, Cyl Head vibration, full cycle
0 2000 4000 6000 8000 10000 12000 140000
200
400
me
an
0 2000 4000 6000 8000 10000 12000 140000
50
100
std
0 2000 4000 6000 8000 10000 12000 140000
0.5
1
std/
me
an
Freq Hz
![Page 16: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/16.jpg)
Spectrum of the vibration signal and its denoised version
![Page 17: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/17.jpg)
Variability in Cyclic Runs
• Variation of vibrations in three consecutive cycles
Original Denoised
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![Page 19: Illustrative Examples, Two Different Machine Data.](https://reader036.fdocuments.net/reader036/viewer/2022062409/56649e995503460f94b9c50b/html5/thumbnails/19.jpg)
Analysis in Coefficient Domain