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Shrouded Friction Damper Base Friction DamperStator Row

Friction Damper

F-100-PW-2200 Engine

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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)

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Shaker

SigLab Digital

Signal ProcessorPower Amplifier

Pre Amplifier

Laser Vibrometer

Beam

Computer

Accelerometer

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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

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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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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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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)


0 0.5 1 1.5 2 2.5 3 3.5 45000

0

5000

Stress(psi)

Length (in)


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Ry

Rx

Y

X

Z

Rotor

Shaft

Blade

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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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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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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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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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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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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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High Strength

Small Disbonded Islands

(Ad=0.25)

Low Strength

Large Disbonded Islands

(Ad=0.25)

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-

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-

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-

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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

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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


Disbond %

StressRatioy

/P

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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


Disbond %

StressRatioy

/P

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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


Disbond %

StressRatioxy

/P

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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


Disbond %

StressRatioxy/

P

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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


Disbond %

StressRatioxy/

P

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Yen HsinYi

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