04ª apostila 13 sources of vib

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    Sources of Vibration1

    Sources of Vibration

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    Sources of Vibration2

    Forces and Vibration

    Input Forces x System Response = Vibration

    Autospectrum(Response) - Input (Magnitude)

    Mobility : Input : Input : FFT Analyzer

    0 100 200 300 400 500

    1m

    10m

    100m

    1

    [Hz]

    [m/s]

    Autospectrum(Response) - Input (Magnitude)

    Mobility : Input : Input : FFT Analyzer

    0 100 200 300 400 500

    1m

    10m

    100m

    1

    [Hz]

    [m/s]

    Autospectrum(Response) - Input (Magnitude)

    Mobility : Input : Input : FFT Analyzer

    0 100 200 300 400 500

    1m

    10m

    100m

    1

    [Hz]

    [m/s]

    Autospectrum(Response) - Input (Magnitude)

    Mobility : Input : Input : FFT Analyzer

    0 100 200 300 400 500

    1m

    10m

    100m

    1

    [Hz]

    [m/s]

    x =

    Forces caused by

    Imbalance

    Shock

    Friction Acoustic

    Structural

    Parameters:

    Mass

    Stiffness Damping

    Vibration

    Parameters:

    Acceleration

    Velocity Displacement

    Frequency Response H1 (response, excitation)ili l

    0 100 200 300 400 500

    -20

    0

    20

    [Hz]

    ili l

    0 100 200 300 400 500

    -20

    0

    20

    [Hz]

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    Sources of Vibration3

    Fault Diagnosis

    Frequency analysis: The tool for diagnosis of faults

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    Sources of Vibration4

    Faults in Rotating Shafts

    Frequency:

    Mainly radial

    Frequency:

    Radial and axial

    Vibration:

    Misalignment and bent shaft

    Unbalance:

    Vibration:

    Cracks in shafts

    The components at the rotation speed andthe second harmonic will increase.(B. Grabovski: VDI berichte n. 320 1978)

    Rotation speed

    Rotation speedOften 2nd harmonicsometimes 3rd and 4th harmonic

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    Sources of Vibration6

    Misalignment

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    Sources of Vibration7

    1

    0.1

    0.01

    100 200 300 4000 500

    10

    1

    0.1

    0.01

    100 200 300 4000 500

    10

    Misalignment in Gearbox85 Hz

    Measurement using accelerometer

    50 Hz

    100 Hz

    170 Hz

    85 Hz

    50 Hz

    100 Hz, Mains 2nd order

    170 Hz

    mm/s

    mm/s

    Hz

    Hz

    Measurement using velocity transducer

    Before repair

    After repair

    50 Hz

    3000 rpm85 Hz

    5100 rpm

    Gear

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    Sources of Vibration8

    Rotating Shaft

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    Sources of Vibration9

    Fault in Bearings

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    Sources of Vibration10

    Oil Whirl and Oil Whip

    Low Eccentricity Natural Frequency

    Bearing (oil) stiffnessHigh Eccentricity Natural Frequency

    Shaft stiffness

    (Hz)(Hz)(Hz)(Hz)

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    Sources of Vibration11

    Oil Whirl and Oil Whip

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    Sources of Vibration12

    Loose Journal Bearing

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    Sources of Vibration13

    Journal Bearing Looseness (after repair)

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    Sources of Vibration14

    Vibration from Gears

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    Sources of Vibration15

    Faults in the Vibration Spectrum

    Toothmesh Frq.

    T

    F = 1/T

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    Sources of Vibration16

    Tooth Deflection

    Varying numbers no. of teeth

    carry the load!New Gears also.

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    Sources of Vibration17

    Tooth Wear

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    Sources of Vibration18

    Tooth Meshing Frequency and Harmonics

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    Sources of Vibration19

    Ghost Component

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    Sources of Vibration20

    Ghost independent of Load

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    Sources of Vibration21

    Cement Mill Drive

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    Sources of Vibration22

    Ghost before and after Repair

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    Sources of Vibration23

    Gearbox and Zoom

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    Sources of Vibration24

    Electrical Machines

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    Sources of Vibration25

    Electric Motor Vibrations

    10090 110

    0 600 1200

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    Sources of Vibration26

    Faults in Rolling Element Bearing

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    Sources of Vibration27

    Frequency of DominantVibration (Hz = RPM/60)

    Nature of Fault Direction Remarks

    1 RPM

    Usually 1 RPM

    Often 2 RPMSometimes 3 and 4 RPM

    Rotating Membersout of Balance

    Radial A common cause of excessvibration in machinery

    Misalignment and

    Bent Shaft

    A common faultRadial

    andAxial

    Vibration Trouble-shooting Chart (1/4)

    Sub-harmonics ofshaft RPM, exactly1/2 or 1/3 RPM

    PrimarilyRadial

    Journal BearingsLoose in Housing

    Looseness may only develop atoperating speed and temperature(eg. turbomachines).

    Slightly less than halfshaft speed(42% to 48%)

    PrimarilyRadial

    Oil Film Whirl orWhip in JournalBearings

    Applicable to high-speed(eg. turbo) machines.

    Shaft critical speed PrimarilyRadial

    Hysteresis Whirl Vibrations excited when passingthrough critical shaft speed are

    maintained at higher shaft speeds.Can sometimes be cured bychecking tightness of rotorcomponents.

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    Sources of Vibration28

    Frequency of DominantVibration (Hz = RPM/60)

    Nature of Fault Direction Remarks

    Impact rates for theindividual bearing

    component*Also vibrations at highfrequencies (2 to 60 kHz)often related to radialresonances in bearings

    Radial

    andAxial

    Damaged RollingElement Bearings(Ball, Roller, etc.)

    Uneven vibration levels, often

    with shocks.

    Vibration Trouble-shooting Chart (2/4)

    Contact Angle

    Ball Diameter (BD)

    n = number of balls of rollers

    fr = relative rev./sec betweeninner and outer races

    Pitch Diameter (PD)

    * Impact rates

    For an outer race defect: [ ]

    = cosPD

    BD

    1f2

    n

    Hzf r

    For an inner race defect: [ ]

    += cos

    PD

    BD1f

    2

    nHzf r

    For a ball defect: [ ]

    =

    2

    r cosPD

    BD1fBD

    PDHzf

    [ ]

    = cos

    PD

    BD1f

    2

    1Hzf rFor a cage defect:

    (assuming pure rolling motion)

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    Sources of Vibration29

    Frequency of DominantVibration (Hz = RPM/60)

    Nature of Fault Direction Remarks

    Tooth meshingfrequencies (shaftRPM number of teeth)and harmonics

    RadialandAxial

    Damaged or worngears

    Sidebands around toothmeshing frequencies indicatemodulation (eg. eccentricity) atfrequency corresponding to

    sideband spacings. Normallyonly detectable with verynarrow-band analysis

    2 RPMMechanicalLooseness

    Also sub and interharmonics,as for loose Journal bearings

    1, 2, 3 and 4 RPM of belt RadialFaulty Belt Drive

    1 RPM and/or multiples forhigher order unbalance

    PrimarilyRadial

    UnbalancedReciprocating

    Forcesand Couples

    Vibration Trouble-shooting Chart (3/4)

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    Sources of Vibration30

    Frequency of DominantVibration (Hz = RPM/60)

    Nature of Fault Direction Remarks

    Blade and vanepassing frequenciesand harmonics

    RadialandAxial

    IncreasedTurbulence

    Increasing levels indicateincreasing turbulence

    1 RPM or 1 or 2times synchronousfrequency

    RadialandAxial

    ElectricallyInduced Vibrations

    Should disappear whenturning off the power

    Vibration Trouble Shooting Chart (4/4)