Yen HsinYi

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    Shrouded Friction Damper Base Friction DamperStator Row

    Friction Damper

    F-100-PW-2200 Engine

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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)

    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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    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

    Disbonded Island Size

    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

    Disbonded Island Size

    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

    Disbonded Island Size

    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

    Disbonded Island Size

    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

    Disbonded Island Size

    Disbond %

    StressRatioxy/

    P

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    -

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