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Shrouded Friction Damper Base Friction DamperStator Row
Friction Damper
F-100-PW-2200 Engine
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35/177
-
-
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-
-
-
-
-
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Demagnetized
Saturated (Domain Rotated in High Magnetic Field)
Crystal Axes Magnetic Field
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220 225 230 235 240 245 250 255 2600
0.005
0.01
0.015
0.02
0.025
0.03
0.035
Voltage
Frequency (Hz)
Steel Beam (ASTM E75693)
8/8/2019 Yen HsinYi
50/177
-
Shaker
SigLab Digital
Signal ProcessorPower Amplifier
Pre Amplifier
Laser Vibrometer
Beam
Computer
Accelerometer
8/8/2019 Yen HsinYi
51/177
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52/177
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l
2d
h
b
Coating Layer
Beam
h
2d
Beam Cross Section
l
2d
h
b
Cantilevered Beam
Simply Supported Beam
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0 0.5 1 1.5 2 2.5 3 3.5 4
x 104
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
strain amplitude
loss
factorc
(coating
layer)
cr/E
c
Test ResultsCurve Fit
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Steel Beam or
Ti-6Al-4V Blade8-Node
Solid Elements
Magnetomechanical
Coating4-Node
Isoparametric Elements
8/8/2019 Yen HsinYi
63/177
-
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64/177
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65/177
-
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67/177
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68/177
0 0.5 1 1.5 2 2.5 3 3.5 40
0.05
0.1
0.15
0.2
0.25
0.3
0.35
Displacement(in)
uncoatedFEMcoatedFEMcoatedCF
0 0.5 1 1.5 2 2.5 3 3.5 43
2
1
0
1
2
3x 10
3
Displac
ement(in)
Length (in)
uncoatedFEMcoatedFEMcoatedCF
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69/177
0 0.5 1 1.5 2 2.5 3 3.5 41.5
1
0.5
0
0.5
1
1.5 x 10
5
Stress(psi)
uncoatedFEMcoatedFEM
0 0.5 1 1.5 2 2.5 3 3.5 45000
0
5000
Stress(psi)
Length (in)
uncoatedFEMcoatedFEM
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70/177
0 0.5 1 1.5 2 2.5 3 3.5 40
0.5
1
1.5
Displacement(in) uncoatedFEM
coatedFEMcoatedCF
0 0.5 1 1.5 2 2.5 3 3.5 40.1
0.05
0
0.05
0.1
Displacement(in)
uncoated
FEMcoatedFEMcoatedCF
0 0.5 1 1.5 2 2.5 3 3.5 44
2
0
2
4x 10
3
Displacement
(in)
Length (in)
uncoatedFEM
coated
FEMcoatedCF
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0 0.5 1 1.5 2 2.5 3 3.5 45
0
5
10 x 10
4
Stress(psi)
coatedFEMuncoatedFEM
0 0.5 1 1.5 2 2.5 3 3.5 44
2
0
2x 10
4
Stress(psi)
coatedFEMuncoatedFEM
0 0.5 1 1.5 2 2.5 3 3.5 45000
0
5000
Stress(psi)
Length (in)
coatedFEMuncoatedFEM
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-
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-
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Ry
Rx
Y
X
Z
Rotor
Shaft
Blade
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-
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0 0.05 0.1 0.15 0.2 0.250
0.2
0.4
0.6
0.8
Cb
xy
/P
GROPHSFEM
0 0.05 0.1 0.15 0.2 0.250.2
0
0.2
0.4
0.6
0.8
Cb
y
/P
GROPHSFEM
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115/177
0 0.05 0.1 0.15 0.2 0.250
0.2
0.4
0.6
0.8
Cb
xy
/P
GROPHSFEM
0 0.05 0.1 0.15 0.2 0.250.2
0
0.2
0.4
0.6
0.8
Cb
y
/P
GROPHSFEM
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116/177
0 0.05 0.1 0.15 0.2 0.250
0.2
0.4
0.6
0.8
Cb
xy
/P
GROPHSFEM
0 0.05 0.1 0.15 0.2 0.250.2
0
0.2
0.4
0.6
0.8
Cb
y
/P
GROPHSFEM
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-
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0 0.05 0.1 0.15 0.2 0.251.5
1
0.5
0
0.5
1
1.5
Cb
y
/P
y=t/2y=0y=t/2
0 0.05 0.1 0.15 0.2 0.250
0.5
1
1.5
Cb
xy
/P
y=t/2y=0y=t/2
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0 0.05 0.1 0.15 0.2 0.250.4
0.2
0
0.2
0.4
0.6
Cb
y
/P
OPFEM
0 0.05 0.1 0.15 0.2 0.250
0.5
1
1.5
Cb
xy
/P
OPFEM
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-
-
-
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-
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a
b
Spring Model of Interface
2
2
4
)(
a
baA
d
=
lb 2Cb lb
t
x
8,10 ==b
bb
c
l
t
bPb
Line Element of Interface
1
2
3
4
5
6
lb 2Cb lb
t
x
bPb
8,10 ==b
bb
c
l
t
The Distributed Spring Element Model
The One-Dimensional Line Element Model
Imperfectly-BondedInterface
Imperfectly-Bonded
Interface
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0 0.05 0.1 0.15 0.2 0.251
0
1
2
3
4
Cb
y
/P
y=t/2y=0y=t/2
0 0.05 0.1 0.15 0.2 0.250
0.5
1
1.5
Cb
xy
/P
y=t/2y=0y=t/2
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140/177
0 0.05 0.1 0.15 0.2 0.252
1
0
1
2
3
Cb
y
/P
y=t/2y=0y=t/2
0 0.05 0.1 0.15 0.2 0.250
0.5
1
1.5
Cb
xy
/P
y=t/2y=0y=t/2
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0 0.05 0.1 0.15 0.2 0.251
0
1
2
3
4
Cb
y
/P
y=t/2y=0y=t/2
0 0.05 0.1 0.15 0.2 0.250
0.5
1
1.5
Cb
xy
/P
y=t/2y=0y=t/2
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0 0.05 0.1 0.15 0.2 0.251
0
1
2
3
4
Cb
y
/P
y=t/2y=0y=t/2
0 0.05 0.1 0.15 0.2 0.250
0.5
1
1.5
Cb
xy
/P
y=t/2y=0y=t/2
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-
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High Strength
Small Disbonded Islands
(Ad=0.25)
Low Strength
Large Disbonded Islands
(Ad=0.25)
8/8/2019 Yen HsinYi
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-
-
8/8/2019 Yen HsinYi
146/177
-
8/8/2019 Yen HsinYi
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-
-
8/8/2019 Yen HsinYi
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-
-
8/8/2019 Yen HsinYi
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0
0.2
0.4
0.6
0.8
1
0
0.2
0.4
0.6
0.8
0
1
2
3
4
5
Disbonded Island Size
Disbond %
StressRatioy/P
8/8/2019 Yen HsinYi
152/177
0
0.2
0.4
0.6
0.8
1
0
0.1
0.2
0.30.4
0.5
0.6
0.7
0.8
0.2
0.4
0.6
0.8
1
1.2
Disbonded Island Size
Disbond %
StressRatioy
/P
8/8/2019 Yen HsinYi
153/177
0
0.2
0.4
0.6
0.8
1
0
0.2
0.4
0.6
0.8
3.2
3.4
3.6
3.8
4
Disbonded Island Size
Disbond %
StressRatioy
/P
8/8/2019 Yen HsinYi
154/177
0
0.20.4
0.6
0.8
1
0
0.2
0.4
0.6
0.8
0
0.2
0.4
0.6
0.8
1
1.2
1.4
Disbonded Island Size
Disbond %
StressRatioxy
/P
8/8/2019 Yen HsinYi
155/177
0
0.2
0.4
0.6
0.8
1
0
0.2
0.4
0.6
0.8
0.53
0.54
0.55
0.56
0.57
0.58
0.59
0.6
0.61
Disbonded Island Size
Disbond %
StressRatioxy/
P
8/8/2019 Yen HsinYi
156/177
0
0.2
0.4
0.6
0.8
1
0
0.2
0.4
0.6
0.8
0.7
0.75
0.8
0.85
0.9
0.95
Disbonded Island Size
Disbond %
StressRatioxy/
P
8/8/2019 Yen HsinYi
157/177
8/8/2019 Yen HsinYi
158/177
-
8/8/2019 Yen HsinYi
159/177
8/8/2019 Yen HsinYi
160/177
8/8/2019 Yen HsinYi
161/177
8/8/2019 Yen HsinYi
162/177
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163/177
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-
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