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Principles and Practices of Vibrational Analysis

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    FES Systems Inc. 1

    Vibration Analysis Services

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    What is Vibration?

    Vibration is the movement of a body about its reference position.

    Vibration occurs because of an excitation force that causes motion.

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    Vibration Terms

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    Time Waveform Analysis

    complex time waveform

    Individual vibration signals

    combine to form a complex

    time waveform showing overall

    vibration

    frequ

    ency

    low

    freq.

    high

    freq

    .

    timeoverall vibration

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    Overall Vibration The total vibration

    energy measuredwithin a specific

    frequency range.

    includes a combinationof all vibration signals

    within measured

    frequency range

    does not includevibration signals outside

    measured frequency

    range

    produces a numerical

    value

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    Amplitude vs. Frequency Vibration amplitude indicates the severity of the problem. Vibration frequency indicates the source of the problem.

    2X3X

    4X

    frequency

    amplitud

    e

    1X

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    Vibration- Measurable Characteristics

    0 90 180 270 360DisplacementVelocityAcceleration

    Time

    Velocity is the first derivative of displacement as a function of time, it is the rate

    of change in displacement (the speed of the vibration).

    Acceleration is the second derivative of displacement, it is the rate of change of

    velocity (the change in speed of the vibration).

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    Scale FactorsWhen comparing overall vibration signals, it is

    imperative that both signals be measured on the

    same frequency range and with the samescale factors. NOTE: RMS is .707 of peak.

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    Measurements & Units

    Displacement (Distance)mils ormicrometer, mm

    Velocity (Speed - Rate of change of displcmt)in/sec ormm/sec

    Acceleration (Rate of change of velocity)Gs orin/sec2 ormm/sec2

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    Lines of ResolutionIndividual Vertical Lines or Bins Located Adjacent to One Another

    Along the Frequency Axis. Each Bin is used to Store Individual Amplitude

    at a Specific Frequency Location.

    Amplitude

    Frequency in CPM

    7200CPM

    3570CPM

    Amplitude

    Frequency in CPM

    7200CPM

    3570CPM

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    Accelerometers

    Rugged Devices Operate in Wide Frequency

    Range (Near 0 to above 40 kHz)

    Good High Frequency Response

    Some Models Suitable For High

    Temperature

    Require Additional Electronics

    (may be built into the sensor housing)

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    Velocity Sensors

    Often Measure BearingHousings or Machinery Casing

    Vibration

    Effective in Low to Mid

    Frequency Range (10 Hz to

    around 1,500 Hz)

    Self Generating Devices

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    Displacement Probe/Eddy Probe

    Measure RelativeDistance Between

    Two (2) Surfaces

    Accurate LowFrequency

    Response

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    Multi-Parameter Monitoring

    Same Data in Velocity andAcceleration

    VelocitySpectrum

    AccelerationSpectrum

    On the same bearing, low

    freq. events (imbalance,

    misalignment, etc.) show

    best in the velocity

    spectrum; while high freq.

    events (bearing faults,

    gearmesh) show best in the

    acceleration spectrum

    FES Model 32L S/N AB10099P#2 West -C3H Compressor Inboard Horizontal

    Route Spectrum 06-Feb-01 14:02:05

    OVRALL= .6123 V-DG PK = 8.19 LOAD = 100.0 RP M = 2 990. RP S = 49.83

    0 40 80 120 160 200 240

    0

    1

    2

    3

    4

    5

    Frequency in kCPM

    PK

    AccelerationinG-s

    Reference Env/Prf-Std

    - Model 32L S/N AB10099P#2 West -C3H Compressor Inboard Horizontal

    Route Spectrum 06-Feb-01 14:02:05

    OVRALL= .6123 V-DG PK = .6091 LOAD = 100.0 RPM = 2990. RPS = 49.83

    0 40 80 120 160 200 240

    0

    0.08

    0.16

    0.24

    0.32

    0.40

    Frequency i n kCPM

    PK

    VelocityinIn/Sec

    Reference Env/Prf-Std

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    10 100 1,000 10,000

    Frequency (Hz)

    10

    1.0

    0.1

    1

    0.01

    100

    Displacement (mils)Acceleration(g's)

    Velocity (in/sec)

    Common MachineryOperating Range

    Amplitude

    (mils, in/sec, gs)

    Sensor Relationships

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    Resonance

    typically 10% or greater

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    Detection vs. Analysis Detection

    Alarm limits are established for each measurement.When the measurements value exceeds its

    programmed alarm limits, the predictive maintenance

    software or data collector notifies the analyst of aproblem.

    Analysis

    Once detected, analyzing exceptional measurements

    provides insight to the problem itself, and to its root

    cause.

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    Important Frequency Peaks

    Rotational Speed or Even MultiplesAlways present but excessive amplitude or multiple

    harmonics can indicate a problem.

    Electric motors always have frequency peaks at shaftrotational speed and at line frequency i.e. 60 Hz.

    Two pole motors will always display a 2X line frequency

    peak.

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    Important Frequency Peaks

    Gas Pulsation FrequenciesScrew compressors - gas pulsation frequency(cpm) occurs at

    [No. of lobes on male rotor] X [ rotational speed (RPM)]

    Pumps or fans - fluid pulsation frequency(cpm) occurs at[No. of vanes, lobes or blades] X [ rotational speed (RPM)]

    Recip. Compressors - gas pulsation frequency (cpm) occurs

    at [No. of pistons] x [ rotational speed (RPM)]Harmonics or even multiples (2X and 3X) of gas pulsation

    frequencies always present and are most noticeable on oil

    separator vessels.

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    Setting Up the Measurement Physical Considerations

    Selecting the Machinery Selecting Measurement Planes

    Selecting Sensor Locations

    Surface Preparation Sensor Mounting Techniques

    Database Considerations

    Parameters (multi-parameters)Alarm Limits

    Setting Fmax

    Scale Factors

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    Selecting the MachineryCritical - If a failure or shutdown occurs,

    production is stopped, or machineperformance creates an unsafe environment

    Essential Spared - If a failure orshutdown occurs, production is disrupted

    Non Essential Spared - If a failureor shutdown occurs, production loss is

    inconvenienced, however, a spare unit can

    be brought on-line, or a repair can bring the

    production unit back on-line without

    significant loss of production

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    ThinkingAhead

    Walk Through

    Machinery Data

    Sheets

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    Measurement Planes

    radial

    vertical

    horizontal

    axial

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    Sensor Location(qualifying and identifying)

    Measurement POINT numbering

    follows flow of power:

    Motor Non-Driven End (NDE)

    Motor Driven End (DE)

    Compressor Driven End (DE)

    Compressor Non-Driven End (NDE)

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    Sensor Location

    The accelerometer must be located over the bearing of interest. Avoid air gaps

    in housings whenever possible. Air gaps will skew vibration readings.

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    Sensor Location

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    Mounting Methods

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    Hand-held/Probe Mounting

    Rapid and

    convenient.

    Subject to

    many sources

    of error.

    Use only as a

    last resort.

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    Types of Alarms

    Overall Vibration Limits Spectral Enveloping

    Spectral Bands Phase Alarms

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    Acceptable Vibration Levels

    Tables are published that show overall vibration levels as afunction of rotational speed or vibration frequency for the

    purpose of determining whether vibration levels are acceptable.

    As a general rule for compressors operating at 3600 RPM an

    overall vibration level of 0.3 ips RMS would be cause for concern

    For piping and valves overall readings exceeding 1.0 ips RMS

    would be cause for concern though actual stress values induced

    by the vibration may be quite low and no corrective action

    needed. Some engineering evaluation should be conducted to

    determine this.

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    ISO Guidelines

    ISO 2372overall

    velocityvibration

    guidelines

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    AssessingOverall

    VibrationSeverity

    ve

    loc

    ity-

    in/sec

    (pea

    k)

    Frequency - CPM

    ac

    ce

    lera

    tion-

    Gs

    (pea

    k)

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    Overall Vibration Trend PlotVIB - Alignment Fault

    ALIGNMENT -M1H MOTOR OUTBOARD BRG. - HORIZONTAL

    Trend Display

    of

    OVERALL VALUE

    -- Baseline --

    Value: .06350

    Date: 11-AUG-95

    0 100 200 300 400 500

    0

    0.04

    0.08

    0.12

    0.16

    0.20

    0.24

    Days: 11-AUG-95 To 11-DEC-96

    PK

    Veloc

    ityinIn/Sec

    WARNINGALERT

    FAULT

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    Spectral Enveloping

    alarm is triggered

    VIB - Balance Fault

    BALANCE -M2A MOTOR INBOARD AXIAL

    Route Spectrum

    14-MAR-96 12:10:26

    OVRALL= .3260 V-DG

    PK = .3257

    LOAD = 100.0

    RPM = 1777.

    RPS = 29.62

    0 400 800 1200 1600 2000

    0

    0.05

    0.10

    0.15

    0.20

    0.25

    0.30

    0.35

    0.40

    Frequency in Hz

    PK

    Veloc

    ity

    inIn/Sec

    Reference Envelope

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    Phase Alarms

    A2 - Machine #6 (Various Setups)

    MACH#6 -PPH PEAK PHASE DATACorrelation

    Display

    Phasevs

    Peak

    Data Period:26-Dec-96

    To28-Dec-96

    0

    180

    90 270

    2.500

    Peak

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    Motor and compressors with sleeve bearings do not lendthemselves well to readings with accelerometers and for

    dependable information a device such as a proximity probe

    should be used to measure vibration in mils displacement.Probes should be oriented in two planes 90 apart and

    displacement cannot exceed the shaft to bearing clearance.

    Acceptable Vibration Levels

    Motor and compressors with sleeve bearings do not lendthemselves well to readings with accelerometers and for

    dependable information a device such as a proximity probe

    should be used to measure vibration in mils displacement.Probes should be oriented in two planes 90 apart and

    displacement cannot exceed the shaft to bearing clearance.

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    For Individual spectrum peaks limits are set by their perceived

    cause but some general limits are shown below:

    Compressors:

    Rotational speed 1X, 2X, 3X 0.25 ips RMSGas Pulsation at compr. 0.27 ips RMS

    Bearing fault frequencies 0.15 ips RMS

    Roller bearings (2000-3000 Hz) 2.5 gs

    Acceptable Vibration Levels

    For Individual spectrum peaks limits are set by their perceivedcause but some general limits are shown below:

    Compressors:

    Rotational speed 1X, 2X, 3X 0.25 ips RMS

    Gas Pulsation at compressor 0.27 ips RMS

    Bearing fault frequencies 0.15 ips RMS

    Roller bearings (2000-3000 Hz) 2.5 gs

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    Motors:

    Rotational Speed 1X, 2X, 3X 0.25 ips RMS

    Line Frequency 1X, 2X 0.13 ips RMS

    Bearing fault frequencies 0.15 ips RMS

    Acceptable Vibration Levels

    Motors:Rotational Speed 1X, 2X, 3X 0.25 ips RMSLine Frequency 1X, 2X 0.13 ips RMS

    Bearing faul t frequencies 0.15 ips RMS

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    At start up - Baseline

    Six months after start up unless a problem is suspected. After

    that every 6 month to one year after that unless a deteriorating

    trend is observed.

    At 25000 hours readings should be taken every three months

    to extend the time before an internal inspection is required.

    Anytime an unusual noise or vibration isnoticed.

    Readings-How Often?

    At start up - Baseline

    Six months after start up unless a problem is suspected. After

    that every 6 month to one year after that unless a deteriorating

    trend is observed.

    At 25000 hours readings should be taken every three months

    to extend the time before an internal inspection is required.

    Anytime an unusual noise or vibration is noticed.

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    Spectrum Analysis Techniques Collect Useful Information

    Analyze

    500 HP/3570 RPM

    Motor Model 23LE

    C1 C2

    C3 C4

    M1 M2

    C

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    Spectrum Analysis TechniquesSome compressors have a combination of sleevebearings and ball thrust bearings that require differentanalysis techniques.

    FES Model GL Series Compressors

    Thrust and

    Sleeve

    Bearing

    Location

    Sleeve Bearing Location

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    Latter stages of journal bearing wear are normally evidenced

    by presence of whole series of running speed harmonics (up to

    10 or 20). Wiped journal bearings often will allow high vertical

    amplitudes compared to horizontal, but may show only onepronounced peak at 1X RPM. Journal bearings with excessive

    clearance may allow a minor unbalance and/or misalignment to

    cause high vibration which would be much lower if bearing

    clearances were set to specifications. Source: Technical Associates Inc.Illustrated Vibration Chart

    Sleeve Bearing Wear Pattern

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    Why Do Bearings Fail?Inadequate Lubrication- too much

    - too li tt le- contaminated

    Excessive Load

    Caused by:

    - misalignment- imbalance

    - bent shaft

    - etc.....

    Improper Handling orInstallation

    AgeSpall On Outer Race

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    Typical Bearing Failure Rate

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    Bearing Defect FrequenciesBPFO

    Ball Pass Frequency Outer RaceBPFIBall Pass Frequency Inner Race

    BSFBall Spin Frequency

    FTFCage Frequency or

    Fundamental Train Frequency

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    Bearing Failure StagesStage 1 Stage 2

    Stage 3 Stage 4

    No apparent change on typical velocity spectrum Defects harmonic frequencies appear

    Defects fundamental frequencies also appear

    and may exhibit sidebandsDefects harmonic frequencies develop multiple

    sidebands (haystack), fundamental freqs. grow

    and also develop sidebands

    defects fund.

    frequency range

    defects harmonic

    frequency range

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    SidebandsVIB - Alignment FaultALIGNMENT -M2H MOTOR INBOARD BRG. - HORIZONTAL

    Route Spectrum

    01-AUG-96 15:15:26

    OVRALL= .0665 V-DG

    RMS = .2506

    LOAD = 100.0

    RPM = 3606.

    RPS = 60.10

    0 1000 2000 3000 4000

    0

    0.02

    0.04

    0.06

    0.08

    0.10

    0.12

    0.14

    Frequency in Hz

    RMSAcce

    lera

    tion

    inG-s

    Freq:

    Ordr:

    Spec:

    Dfrq:

    2634.6

    43.84

    .02417

    120.19

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    HarmonicsVIB - Alignment FaultALIGNMENT -M2H MOTOR INBOARD BRG. - HORIZONTALRoute Spectrum

    01-AUG-96 15:15:26

    OVRALL= .0665 V-DGPK = .0660

    LOAD = 100.0

    RPM = 3606.

    RPS = 60.10

    0 1000 2000 3000 4000

    0

    0.01

    0.02

    0.03

    0.04

    0.05

    0.06

    Frequency in Hz

    PK

    Veloc

    ity

    inIn/Sec

    Freq:

    Ordr:

    Spec:

    57.69

    .960

    .02572

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    Waterfall Plot

    PK

    VelocityinIn/Sec

    Frequency in Hz

    VIB - Alignment Fault

    ALIGNMENT -M2H MOTOR INBOARD BRG. - HORIZONTAL

    0 1000 2000 3000 4000

    0

    0.05Max Amp.0456

    01-AUG-96

    05-SEP-96

    30-SEP-96

    28-OCT-96

    21-NOV-96

    11-DEC-96

    RPM= 3550.

    15:15:26

    01-AUG-96

    Freq:

    Ordr:

    Sp 1:

    57.69

    .975

    .02589

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    Stator problems generate high vibration at 2X line frequency (2FL). Statoreccentricity produces uneven stationary air gap between rotor and stator

    which produces very directional vibration. Differential Air Gap should not

    exceed 5% for induct ion motors and 10% for synchronous motors. Soft foot

    and warped bases can produce an eccentric stator. Loose iron is due to

    stator support weakness or looseness. Shorted stator laminations can causeuneven, localized heating which can distort the stator itself. This produces

    thermally-induced vibration which can significantly grow with operating time

    causing stator distortion and static air gap problems.Source: Technical Associates Inc.

    Illustrated Vibration Chart

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    Eccentric Rotors produce a rotating variable air gap between the rotor and

    stator which induces pulsating vibration (normally between 2FL and closest

    running speed harmonic). Often requires "zoom" spectrum to separate 2FLand running speed harmonic. Eccentric rotors generate 2FL surrounded by

    Pole Pass frequency sidebands (FP), as well as F

    Psidebands around running

    speed. FP appears itself at low frequency (Pole Pass Frequency = Slip

    Frequency X #Poles). Common values of FP range from about 20 to 120 CPM

    (0.3 - 2.0 Hz). Soft foot or misalignment often induces a variable air gap due

    to distortion (actually a mechanical problem; not electrical).Source: Technical Associates Inc.

    Illustrated Vibration Chart

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    Broken or Cracked rotor bars or shorting rings; bad joints between

    rotor bars and short ing rings; or shorted rotor laminations will

    produce high 1X running speed vibration with pole pass frequency

    sidebands (FP). In addition, these problems generate FP sidebandsaround the second, third, fourth and fifth running speed

    harmonics.Source: Technical Associates Inc.

    Illustrated Vibration Chart

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    Loose or open rotor bars are indicated by 2X line frequency (2FL) sidebands

    surrounding Rotor Bar Pass Frequency (RBPF) and/or its harmonics (RBPF =

    Number of Bars X RPM). Often will cause high levels at 2X RBPF, with only a

    small amplitude at 1X RBPF. Electrically induced arcing between loose rotor

    bars and end rings will often show high levels at 2X RBPF (with 2FLsidebands); but lit tle or no increase in amplitudes at 1X RBPF.

    Source: Technical Associates Inc.

    Illustrated Vibration Chart

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    Phasing problems due to loose or broken connectors can cause excessive

    vibration at 2X Line Frequency (2FL) which wil l have sidebands around it

    spaced at 1/3 Line Frequency (1/3 FL). Levels at 2FL can exceed 1.0 in/sec if

    left uncorrected. This is particularly a problem if the defective connector isonly sporadically making contact. Loose or broken connectors must be

    repaired to prevent catastrophic failure.

    Source: Technical Associates Inc.

    Illustrated Vibration Chart

    Dosk - RAM 700 HP Motor Test1

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    RAM TEST 1-M2L Mot. Inboard Horiz./2X Line Freq

    Route Spectrum

    10-Apr-01 08:20:35

    OVRALL= .3045 V-DG

    PK = .3028

    LOAD = 100.0

    RPM = 3579.

    RPS = 59.64

    0 8000 16000 24000

    0

    0.08

    0.16

    0.24

    0.32

    0.40

    Frequency in CPM

    PK

    Ve

    loc

    ity

    inIn/S

    ec

    Reference Env/Prf-Std

    Freq:

    Ordr:

    Spec:

    7200.0

    2.012

    .283

    The 2x Line frequency on this motor is .283 in/sec.

    this indicates a stator eccentricity problem.

    The spectrum was taken at 6400 lines of resolution.

    Dosk - RAM 700 HP Motor Test1

    RAM TEST 1-M2L Mot. Inboard Horiz./2X Line Freq

    Route Spectrum

    10 A 01 08 20 35

    0.40

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    10-Apr-01 08:20:35

    OVRALL= .3045 V-DGPK = .2922

    LOAD = 100.0

    RPM = 3579.

    RPS = 59.64

    6800 7000 7200 7400 7600

    0

    0.08

    0.16

    0.24

    0.32

    Frequency in CPM

    PK

    Ve

    loc

    ity

    inIn/Sec

    Reference Env/Prf-Std

    Freq:

    Ordr:

    Spec:

    7200.0

    2.012

    .283

    The 2 x Line F

    The 2 x Line Frequency must be separated from 2 x turning speed

    to determine rotor or stator problems. The data collector must be set

    to a suff icient number of lines of resolution to separate these two frequencies

    2 x Line Freq.

    7140 RPM

    2x turning speed

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    Vibration analysis can be used to determine rotor problems in motors.

    The rotor bar pass frequency has penetrated the narrow band alarm.

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    Vibration Analysis Services