Data acquistion principles.pptx

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     Training Course on VibrationAnalysis Level-II

    Centre for Vibration Analysis & Machine Condition

    Monitoring (CVCM)[email protected]

    h!"#$-%&'("&$

    )a*!"#$-%&$+$$'

    Cell!",""-+#($"("

    by

    mailto:[email protected]:[email protected]

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    VIBRATION MEASURING INSTRUMENTS VIBRATION MEASURING INSTRUMENTS 

    OVERVIEW

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    Choosing Your InstrumentationChoosing Your Instrumentation

    What do you want to achieve?

    What is your present and future budget for equipment & training?

    Person power? Knowledge level?

    Number of machines to be monitored?

    Type of machines to be monitored?

    Environment?

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    INSTRUMENT TYPES INSTRUMENT TYPES 

    verall !evel "eters

    #uic$ %hec$ naly'ers

    ((T )ata %ollector* naly'ers

    (ull (eature naly'ers

    +eal Time ,pectrum naly'ers

    -nstrument #uality Tape +ecorders

    )edicated .alancing instruments

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    Data AcquisitionPrinciples

    &

    Signal Processing

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    Data Acquisition System

    Raw Signal

    Amp

    AC

    Output

    Integrator1x, 2x

    High Pass

    ilter

    !ow Pass

    ilter

    "C

    Output

    Amp "ete#torP$P or R%S

    "ispla&

    Rea'ing

    A##elerometer

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    Data Acquisition System

     / ensortrans/ucer for measurement of 0hysical

    variables.

     / ignal-Con/itionertransmission circuitry1 thatenables conversion of signal out0uts from

    trans/ucers to a rea/able form for 2ataAc3uisitioninterface mo/ules.

     /  The 2ata Ac3uisition 4ar/5are com0rising

    6ulti0le*er1 Am0li7er1 A2 Converter1 8u9er6emory1 etc. to /igitize the analog signals for C:.

     / Com0uterC: to 0rocess the /igital /ata for /ata0rocessing1 /is0lay1 out0uts ;control

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    Selection of ransducers

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    !hat is ransducer"

     / A trans/ucer is a /evice 5hich transforms a non-

    electrical 0hysical 3uantity ;i.e. tem0erature1soun/ or light< into an electrical signal ;i.e.voltage1 current1 ca0acity=<

     / In other 5or/ it is a /evice that is ca0able ofconverting the 0hysical 3uantity into a

    0ro0ortional electrical 3uantity such as voltageor current.

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    Selection of ransducer

     / Sensiti#ity$ The trans/ucer must be sensitive enough to

    0ro/uce /etectable out0ut. / %perating ange$  The trans/ucer shoul/ maintain the

    range re3uirement an/ have a goo/ resolution over theentire range.

     / Accuracy$  it is /e7ne/ as ho5 close the out0ut of the

    trans/ucer is to the e*0ecte/ value. 4igh accuracy isre3uire/.

     / Si'e$ 2e0en/ing on the a00lication of the trans/ucer1 thesize may be of 0rimary im0ortance

     / n#ironmental Compatibility$ the trans/ucer is

    selecte/ base/ on the various environmental con/itions itcan 5ork.

     / nsensiti#ity to un*anted signals$  The trans/ucershoul/ be minimally sensitive to un5ante/ signals an/highly sensitive to /esire/ signals.

     / Cost$  The cost of a trans/ucer is an im0ortantconsi/eration1 es0ecially 5hen many sensors are nee/e/

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    Vibration ransducers

    Sensors+ransducers+Probes+!hat is it"

    +,t basically con#erts mechanical

    #ibration to an electrical signal

    AccelerometerCharge Ty0e >Line 2rive

    Constant Voltage >Constant Current

    Velocity Probe Displacementhaft ?i/ers

    ro*imity robes;//y Current robes<

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    Vibration ransducer ypes

     / eismic!- 8earing relative to s0ace.

    0 Velocity icku0s

    0 Accelerometers

    0 iezoelectric velocity 0icku0s

     / ?elative!- haft relative to bearing.0 on-contact //y Current 2is0lacement robes

     / Absolute!- haft relative to s0ace.

    0 haft Contact 2is0lacement robes ;inclu/ing haft

    ticks an/ haft ?i/ers<

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    Velocity Sensors

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    Accelerometers

    D sp acement Pro es non contact e y

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    D sp acement Pro es non-contact. e ycurrent probes)

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    Seismic ransducer

    V/%C0 PC12P

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    Velocity Pic3ups

     ADVANTAGES

     / Self 4enerating 5 no po*er supply required / Magnet inside coil generates #elocity

    proportional to #ibration

     / Spring mass system

     / 67 8', to 6777 8', / Phase change 977

     / Directional mounting

     / /arge & 8ea#y

     / %utput : mV;inch;sec

     / !ide range of a#ailable outputsote !- There are t5o ty0es of velocity 0icku0s the above

    a/vantages /o not a00ly to 0iezoelectric velocity

    trans/ucers.

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    Pie'oelectric Velocity Pic3up

     ADVANTAGES

     / ?emember everything that

    you Bust learne/ about an

    accelerometer.

     /  The out0ut of the

    accelerometer has been

    integrate/ to velocity an/ has

    a %"" 0hase change

     / $"" mVinchsec ;'

    mVmmsec<

     / #"" mVinchsec ;&"mVmmsec<

    SSMC A

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    SSMC A

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    Accelerometers - ad#antages– o moving 0arts1 no 5ear.

    – ?ugge/.

    – Very large /ynamic range.

    – i/e fre3uency range.

    – Com0act1 often lo5 5eight.

    – 4igh stability.

    – Can be mounte/ in any orientation.

    – 6easures casing vibration

    – 6easures absolute vibration

    – Integrate to Velocity

    – asy to mount

    – Large range of fre3uency res0onse

    – Available in many con7gurations

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    Accelerometer ypes

    The three most common are :-

    – Com0ression Ty0e

    – Inverte/ Com0ression Ty0e

    – hear Ty0e

    C i t l t

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    Compression type accelerometer

    lectric connector

    Seismic Mass

    Preload Stud

    Acoustic Shield

    Pie'oelectric Material

    CP Ampli=erMounting Studeceptacle

    >ase

    C i A l t

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    Compression ype Accelerometers

     Advantages

    0 ?elatively lo5 cost

    Disadvantages

    0 ensitive to base strain

    0 ensitive to Thermal transients

    0 Can cause over-saturation an/

    trans/ucer settling 0roblems

    Wide! "sed 

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    n#erted compression type

    Pie'oelectric MaterialCP Circuit

    Mounting stud receptacle

    Seismic Mass

    Preload Slee#e

    Sh A l t

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    Shear ype Accelerometer

    lectric connector

    Seismic Mass

    Post

    Acoustic ShieldPie'oelectric Material

    CP CircuitMounting Studeceptacle

    >ase

    Ad#antages Shear ype

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    Ad#antages - Shear ype

     Advantages

    0 Lo5er sensitivity to base strain

    0 Large /ynamic range

    0 6uch less sensitive to tem0erature transients

    0 tabilizes 3uickly 5hen taking measurements at lo5

    fre3uencies.Disadvantage: -

    0 Denerally higher cost /ue to a//e/ com0onents

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     Parameters;Speci=cations

    y u y

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    y u yesponse

    requency esponse oun ng

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    requency esponse oun ngechnique-6

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          S     e     n     s       i      t       i     #

           i      t     y

    ?req,

    StudMount

    8andProbe

    Dual ail

    Magnet

    ?latMagnet

    MountingPad

    6,@18' 6718' B18'

     echnique (B)

    u y u

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    u y uechnique ()

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    What is the #re$"enc! range o# !o"r%

    &nstr"ment%Ca'es

    %Sensor %Sensor Co"(ing

    !hat is the fault frequency you are loo3ingfor "

    Sensor freq, :6B 18' nstrument

    freq, : 718'

    Cablelength "

    Sensorcoupling "

      .Application

    ?requency ange

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    +'-

    2H.

    2

    1

    $1

    1/H.

       R  e   l  a   t   i  0  e   S  e  n  s   i   t   i  0   i   t  &

    seul re3uen#& Range14 limit 5+  +'- limit 56 

    $2

    $+

    $7

    re3uen#& 8x 9

    re3uen#& Response o Sensor

    ?requency ange

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    PC12PC%/

    MA4

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    a*ial shaft 0osition.

    – 2i9erential e*0ansion bet5een case an/ rotor.

      specially eecti#e on machinery *ith high mass rigid casingsand relati#ely lo* mass

    rotors supported in Eournal type bearings,

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    a on ac sp acemen ro es(Absolute)

    – haft ticks

    – 4ar/5oo/1 7sh-tail1 7*e/ to

    accelerometer or velocity 0icku0

    – 6easures vibration am0litu/e >

    0hase– haft ?i/ers

    Sh ft id

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    SHA( SRACE

    :O:$%E(A!!IC (IP

    %ACHI:E HOSI:;

    SHA( RI"ER ASSE%-!<

    PIC/P %O:(I:; S("

    Shaft ider

    Direct Contact $ Absolute Measurements

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    Direct Contact $ Absolute Measurements

    – haft ?i/ers ;0ermanently installe/<

    – haft ticks or )ishtails

    0 safety issue

    0 very useful belo5 cou0ling of vertical 0um0s

    ypical 2ses of Vibration ransducers

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    ?a/ial CasingVibration

    ?a/ial haftVibration > osition

    A*ial haft

    Vibration > osition

    ypical 2ses of Vibration ransducers

    Measurement Parameter

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    Measurement Parameter– )in/ the FGattestH

    s0ectrum ormally

    velocity is use/.

    – )or very slo5 running

    machine ; ("" ?6<

    /is0lacement is0referre/.

    )or 4igh fre3uency/iagnostics use

    acceleration

    – Al5ays use

    acceleration for

    A##eleration

    Velo#it&

    "ispla#ement

    Monitoring echniques

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    Monitoring echniques

    A##eleration

    Velo#it&

    "ispla#ement

    Displacementaccentuates LE fre3uencies1an/ attenuates 4ID4 fre3uencies.

    VelocityFGatH treats all fre3uencies e3ually.

    Accelerationaccentuates 4ID4 fre3uencies1an/ attenuates LE fre3uencies.

    re35

    Vi)5

    Comparison of ransducers

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    – asy to install

    – 4ood for detecting high

    frequency faults

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    ;ear

    -la'es

    Rolling Element

    -earings

    Shat

    Rotating

    Spee'

    2x

    +x

    =ournal

    -earings

    insta)ilit&

    1 /H. +/H. 26/H.

    :on Conta#t "ispla#ement

    Velo#it& Pro)e

    A##elerometer

    Vibration Pic3ups

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    (&pes o -earings

    =ournal -earings

    •  Stationar& Signals•  Relati0e !ow re3uen#&

    =ournal -earings

    •  Stationar& Signals•  Relati0e !ow re3uen#&

    Rolling Element -earings

    •  %o'ulate' Ran'om :oise

    •  Pulsating signals•  High re3uen#&

    Rolling Element -earings

    •  %o'ulate' Ran'om :oise

    •  Pulsating signals•  High re3uen#&

    se Proximit& pro)es

    se A##elerometers

    Monitoring TechniquesMonitoring Techniques

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    Transucers an Mounting TechniquesTransucers an Mounting Techniques

     lthough there are many different types of transducers available1 the most common

    type used for day to day data collection are ccelerometers2 These transducers provide an electrical charge proportional to acceleration by

    stressing pie'oelectric crystals typically 344m5*g sensors are used2

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    !ata "ua#it$ !ata "ua#it$ 

    Whether it is your 6ob to collect the data and*or analyse the data it is important to

    understand that the technologies will not give you the answer to a machinesproblem unless you have collected meaningful1 quality data

    There are certain considerations that must be ta$en prior to any data being

    collected1 these are7

      good understanding of the internal ma$e up of the machine1 in order to

    understand the best transmission path for data collection 8 bearing locations1

    load 'ones etc2

    Ensure data is collected in a repeatable manner so we can compare two or more

    readings to each other 8 trending purposes

    5ariable speed machines 8 it is very important to collect data with the correct

    running speed enter into the analyser 

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    Transmission PathTransmission Path

    )amaged caused to a machine component will cause a certain amount of

    vibration*sound or heat to propagate away from the initial impact2 -t is the effect of the impact*force that we are trying to detect

    -n many cases the further you are away from the initial event the wea$er the signal

    will become1 resulting in the data appearing to be lower in value2

    -n more e9treme cases the impact can be lost amongst other machine noise by the

    time it has reached your transducer1 resulting in no detection of a machine problem2

    :sually the best place to acquire data from a machine1 is at the bearings2

     / This is because the bearings are the only part of the machine that connect

    the internal rotating components to the stationary components ;%asing<

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    Re%eatae !ataRe%eatae !ata

    %ollect data in the same manner each time2

    This consistency will allow you to trend the machinery condition and properly 6udge the

    progression of faults

    -n order to aid with repeatable data the analyser requests for data to be collected in

    certain locations on the machine2

    These are called ="easurement Points>

    A measurement point is 'etermine' )& three #hara#ters an' a 'es#ription5 Ea#h #hara#ter reers to a parti#ular pla#e on the ma#hine )eing monitore'

     –E5g5 %1H is a t&pi#al measurement point

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    Measurement PointsMeasurement Points

      measurement point is defined as three alpha numeric digits along with their

    respective definition – Orientation and location on each component

    The image on the right is ta$en

    from the screen of the 3@4

    analyser during a collection

    =route>

    The measurement =point

    identifier> can be seen in the top

    right while the =point description>

    is shown 6ust below

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    Measurement PointsMeasurement Points

    The first letter of the =Point -dentifier> refers to the type of machine being monitored

     – " A "otorP A Pump( A (an

    The second character represented by a number indicates the location on the machine

     – -nboard ;)rive End< or utboard ;Non )rive End<

    The third letter refers to the orientation of the sensor or the type of processing being

    done by the analyser  – B A Bori'ontal 5 A 5ertical P A Pea$vue %hange in ),P of nalyser 

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    Measurement PointsMeasurement Points

    The following e9ample shows how the numbering system changes as you cross from

    one component to the ne9t

    Notice how the =3> is not always the =utboard>

    This changes when the ne9t component is required for data collection

    The numbering system starts from 3 again

    12

    1

    2

    "3B / "otor utboard Bori'ontal

    "3P / "otor utboard Bori'ontal Pea$vue

    P3B / Pump -nboard Bori'ontal

    P3P / Pump -nboard Bori'ontal Pea$vue

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    'ocating Turning S%ee 'ocating Turning S%ee 

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    T i S

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    BFI - Example 6

    Ex6 -P2V P UMP OUTBOARD VERTICAL

    Route Spectrum

    !-"a#-$6 %&'%('&%

    OVRALL) %*&2 V-D+

    RMS ) %*(6LOAD ) %!!*!

    RPM ) 2$,*

    RPS ) ($*,

    ! 2! (! 6! ,! %!! %2! %(! %6!

    !

    2

    (

    6

    ,

    %!

    %2

    Fre.ue#c/ 0# 1CPM

       R   M   S   V  e   l  o  c   0   t  /   0  #  m  m   2   S  e  c

    BFI - Example 6

    Ex6 -P2V P UMP OUTBOARD VERTICAL

    Route Spectrum

    !-"a#-$6 %&'%('&%

    OVRALL) %*&2 V-D+

    RMS ) %*(6LOAD ) %!!*!

    RPM ) 2$,*

    RPS ) ($*,

    ! 2! (! 6! ,! %!! %2! %(! %6!

    !

    2

    (

    6

    ,

    %!

    %2

    Fre.ue#c/ 0# 1CPM

       R   M   S   V  e   l  o  c   0   t  /   0  #  m  m   2   S  e  c

    Fre.'

    Or3r'

    Spec'

    2*$,

      %*!!!

      *%%&

    Turning S%ee Turning S%ee 

    The spectrum is showing numerousimpacts appearing at different

    frequencies2

    .y locating the turning speed1 it is veryclear that the impacts are Non8

    synchronous

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     Ana#$sis Techniques Test  Ana#$sis Techniques Test 

    Bave a loo$ at the spectrum below2

     – Where was the data ta$en?

    When the turning speed has been

    located

     –   What type of energy is

    present?

    Lo4 - Example

    E5 -P2V Pump Outoar3 Vert0cal

    A#al/7e Spectrum

    %&-8o9-$& %!'!!'%6

    RMS ) %*2LOAD ) %!!*!

    RPM ) *

    RPS ) %2*2,

    ! 6!!! %2!!! %,!!! 2(!!! !!!!

    !

    !*2

    !*(

    !*6

    !*,

    %*!

    Fre.ue#c/ 0# CPM

       R   M   S   V  e   l  o  c   0   t  /   0  #  m  m   2   S  e  c

    Lo4 - Example

    E5 -P2V Pump Outoar3 Vert0cal

    A#al/7e Spectrum

    %&-8o9-$& %!'!!'%6

    RMS ) %*2LOAD ) %!!*!

    RPM ) *

    RPS ) %2*2,

    ! 6!!! %2!!! %,!!! 2(!!! !!!!

    !

    !*2

    !*(

    !*6

    !*,

    %*!

    Fre.ue#c/ 0# CPM

       R   M   S   V  e   l  o  c   0   t  /   0  #  m  m   2   S  e  c

    Fre.'

    Or3r'

    Spec'

    6*,6

      %*!!!

      *2(&

    P2V

    Synchronous Energy

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    Things to Remem&er a&out a RouteThings to Remem&er a&out a Route

      route includes information from one area only

      route does not have to include all the equipment defined in that area The order of the equipment in the route can differ from that of the database Equipment can appear in more than one route .:T can not appear in the same route

    twice +oute measurement points may not include all the points configured on the

    equipment +oute measurement points do not have to be in the same order as they appear in the

    database

    )ata is not stored at the route level but in the database with the measurement points1there for routes can be deleted but will not loose data from the database   ma9imum of C4 routes can be stored to each area Each equipment has a ma9imum of 3DD points  nd one route can only contain 34DD measurement points

    -mportant7  route file contains the equipment and measurementpoint -)>s and definitions * speeds2 (or this reason the route doesnot recognise points if their -)>s are altered in the database

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    (requenc$ Bans(requenc$ Bans

    • "i0i'e spe#trum in re3uen#& )an's )ase' on thet&pes o me#hani#al aults that might appear on thema#hine

    %5

    25

    5- 65

    BEARI8+ BA8D %BEARI8+ BA8D 2

    $-!5 RPM

    !-&!5 RPM

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    (requenc$ Bans(requenc$ Bans

    • "i0i'e spe#trum in re3uen#& )an's )ase' on thet&pes o me#hani#al aults that might appear on thema#hine

    %5

    25

    5- 65

    BEARI8+ BA8D %BEARI8+ BA8D 2

    $-!5 RPM

    !-&!5 RPM

    Im)alan#e

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    (requenc$ Bans(requenc$ Bans

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    25

    5- 65

    BEARI8+ BA8D %BEARI8+ BA8D 2

    $-!5 RPM

    !-&!5 RPM

    Im)alan#e

    %isalignment

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    (requenc$ Bans(requenc$ Bans

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    25

    5- 65

    BEARI8+ BA8D %BEARI8+ BA8D 2

    $-!5 RPM

    !-&!5 RPM

    Im)alan#e

    %isalignment

    !ooseness

    -earing -an' 1-earing -an' 2

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    (requenc$ Bans(requenc$ Bans

    • "i0i'e spe#trum in re3uen#& )an's )ase' on thet&pes o me#hani#al aults that might appear on thema#hine

    %5

    25

    5- 65

    BEARI8+ BA8D %BEARI8+ BA8D 2

    $-!5 RPM

    !-&!5 RPM

    Im)alan#e

    %isalignment

    !ooseness

    -earing -an' 1

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    (requenc$ Bans(requenc$ Bans

    • "i0i'e spe#trum in re3uen#& )an's )ase' on thet&pes o me#hani#al aults that might appear on thema#hine

    %5

    25

    5- 65

    BEARI8+ BA8D %BEARI8+ BA8D 2

    $-!5 RPM

    !-&!5 RPM

    Im)alan#e

    %isalignment

    !ooseness

    -earing -an' 1-earing -an' 2

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    Digita Signa+rocessing

    Analog Signals

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     Anaog signas:

     / 2irectly measurable 3uantities in terms ofsome other 3uantity.

    E,am(es:

     / Thermometer – mercury height rises as temperaturerises.

     /Car Speedometer – Needle moves farther right as youaccelerate.

     / Stereo – Volume increases as you turn the knob.

    Digital Signals

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    Digita Signas:

     /  4ave only t5o states.

     /  )or /igital com0uters1 5e refer to binary states1" an/ $. F$H can be on1 F"H can be o9.

    E,am(es:

     / Light s5itch can be either on or o9.

     / 2oor to a room is either o0en or close/.

    Famples of Analog to Digital

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    Applications / Micro(hones - take your voice varying

    0ressure 5aves in the air an/ convert them into

    varying electrical signals.

     / Strain Gages - /etermines the amount ofstrain ;change in /imensions< 5hen a stress is

    a00lie/. /   / Thermoco"(e  J tem0erature measuring

    /evice converts thermal energy to electricenergy.

     / Votmeters

     / Digita M"ti-meters

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    (ime Signal

    A)solute Vi)rationwith ree$Spa#e

    Machine Vi&ration Signa# Machine Vi&ration Signa# 

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    AC Signal

    "C

    Signal

    Relati0e Vi)ration with

    mounting position o Prox5 Pro)e

    Machine Vi&ration Signa# Machine Vi&ration Signa# 

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    Pea> 

    Pea> 

    to

    Pea> 

    R%S

    A0g

      Alwa&s as>5555

    Are &ou measuring R%S or Pea> , et# ??  What is the re3uen#& range ??

      How mu#h a0eraging?

    re35 @ 1(ime

    re35 @ H.

    @ re05 per se#on'

    %a#hine re35 are un#tion o RP%

    i5e5 re05 per minute

    Ban%ass Measurement Ban%ass Measurement 

    ! t t

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    R%S

    (rue pea> $ pea> 

     AT 

    a t dt   RMS 

    =   ∫ !

    "

    # $

     A A peak RMS =

      ! %

    or Sine wa0es onl&*

    a

    ( @ a0eraging perio'

    R%S

     A peak 

     A peak peak −

     A peak 

     A peak peak −

    !etector !etector 

    M hi Si # TM hi Si # T

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    Stationar& Signals

    :on $ Stationar& Signals

     – V0rat0o# :rom rotat0#; mac

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    Converts anaog signas into 'inar! ords

     / Guanti'ing$ breaking /o5n analog value is aset of 7nite states.

     / ncoding$  assigning a /igital 5or/ or numberto each state an/ matching it to the in0utsignal.

    Guanti'ing-6

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    E,am(e:

     /  Kou have "-$"Vsignals.

     / e0arate them

    into a set of/iscrete states

    5ith $.V

    increments. / ;4o5 /i/ 5e get

    $.V

     / ee ne*t sli/e=

    Eut0uttates

    2iscrete Voltage?anges ;V<

    " ".""-$.

    $ $.-&.#"

    & &.#"-,.M#

    , ,.M#-#.""

    ' #.""-(.

    # (.-M.#"

    ( M.#"-+.M#

    M +.M#-$"."

    Guanti'ing-B

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    The n"m'er o# (ossi'e states that theconverter can o"t("t is:

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     / 4ere 5e assign

    the /igital value

    ;binary number< to

    each state for the

    com0uter to rea/.

    utput,tates

    utput .inary Equivalent

    4 444

    3 443

    434

    @ 433

    D 344

    C 343

    334F 333

    Accuracy of A;D Con#ersion

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     /  There are t5o 5ays to best im0rove

    accuracy of A2 conversion!

    0 increasing the resolution 5hich im0roves the

    accuracy in measuring the am0litu/e of the

    analog signal.

    0 increasing the sam0ling rate 5hich increases

    the ma*imum fre3uency that can be

    measure/.

    esolution

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     / ?esolution ;number of /iscrete values the converter can

    0ro/uce< N Analog Ouantization size ;O

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     Sampling Rate: The sampling rate #S&$ is the rate at 'hich amplitude values are

    digiti(ed from the original 'aveform or )re*uency at 'hich +,C evaluates

    analog signal.

    Continuous analog signal from a sensor Analog signal sampled at discrete intervals

    Sampling ate (contHd)

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     /  Sampling Rate:  the sampling rate #S&$ is the rate at 'hich amplitude

    values are digiti(ed from the original 'aveform or   )re3uency at

    5hich A2C evaluates analog signal.

     / As 5e see in the secon/ 0icture1 evaluating the signal more

    often more accurately /e0icts the A2C signal.

    Aliasing

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     / Aliasing Eccurs 5hen the in0ut signal is

    changing much faster than the sam0le rate.

     / )or e*am0le1 a & k4z sine 5ave being sam0le/

    at $.# k4z 5oul/ be reconstructe/ as a #"" 4z

    ;the aliase/ signal< sine 5ave.N!$"ist R"e:

     / :se a sam0ling fre3uency at least t5ice as high

    as the ma*imum fre3uency in the signal toavoi/ aliasing.

    ?requency ?iltering

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    *iters

     / A 7lter is a function that in the fre3uency /omain has avalue close to $ in the range of fre3uencies that the analyst

    5ishes to retain an/ close to zero in the range of

    fre3uencies that the analyst 5ishes to eliminate.

     /  The 7lter can be a00lie/ in the time /omain or in the

    fre3uency /omain but their function is best un/erstoo/ in

    the fre3uency /omain

     / If the 7lter is a mechanical or electrical /evice 5hich

    o0erates on the continuous time 0hysical signal it is calle/

    an analogue 7lter.

     / If the 7lter is a numerical algorithm or mechanical /evice

    5hich o0erates on sam0le/ /ata it is calle/ a /igital 7lter.

    ?requency ?iltering

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    8igh-Pass =lters  As the name im0ly1 a high 0ass 7lter allo5s highfre3uencies to 0ass. ;lo5er fre3uency limit<

    /o*-Pass =lters  

    Allo5 lo5 fre3uencies to 0ass through;u00er limit<

    >andpass =lters  Allo5s only fre3uencies 5ithin the ban/

    Anti-aliasing =ltersLo5 0ass 7lter at half the sam0ling fre3uencies

     (es o# /ters:

     f 

     f 

    ?requency ?iltering (contHd)

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    ypical spectrum of a machine *ithoutany =lter applied

    8igh-Pass =lters

     

    /o*-Pass =lters

    >andpass =lters  

    Discrete ?ourier ransform

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     /  The signal that comes to the analyzer is analog signal. It

    must be /igitally sam0le/ by the analyzer. This 0rocess is a

    variation of ))T an/ is kno5n as 2)T.

     / )or 2)T the 5aveform is re-create/ in the analyzer by

    /igitally sam0ling an/ then transforme/ into the fre3uency

    /omain.

     /  To un/er stan/ the ))T /igital sam0ling 0rocess 15e must

    have the un/er stan/ing of!

     / L.E.?

     / )ma*

     / Length of aveform

     / 2igital am0le ize

    ?? (D?) - Pitfalls

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     / 2iscrete )ourier Transform ;2)T< - itfalls

     / ))T - )ast )ourier Transform is an ePcient means of

    calculating a 2)T ;2iscrete / )ourier Transform

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    Sampling rate too slo*

    8igh frequency analysis results in false lo* frequencysignal

    Solution$

     /  :se Anti-aliasing 7lter.

     /  Ty0ically a $Q ;$"&' 0oint< transform1 #$& fre3uency com0onents are

    calculate/.

     / an/ '"" lines /is0laye/. imilarly a &Q transform +"" lines are

    /is0laye/.

    ?? pitfalls - /ea3age

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    6st Sample

    Bnd Sample

    $0e

    $0e

    B0e

    B0e

    +,,gi#e discontinuities*hen ends Eoined

    2se 8anning !indo*

    ?? - Pic3et ?ence ect

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    ActualSpectrum

    MeasuredSpectrum

    /ines of esolution

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     / RLines of resolutionS /etermine the clarity of the s0ectral

    /ata.

     /  The better the resolution the more accurate the

    fre3uency /is0laye/

     /  The number of lines of resolution selecte/ are /ivi/e/

    into the ma*imum fre3uency scale ;)ma*< to arrive at thebin 5i/th ;8! : ?maF;/%

     /  The lines are actually centre fre3uencies of bins of energy

     / All the energy 5ithin the bin is summe/ u0 to give a

    single am0litu/e fre3uency

    esolution

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     / 8 N )ma* LE?

     / nergy is summe/ u0

    5ithin a 8in an/ 0lotte/

    at the centre fre3uency. C e n t  r  e  r  e  3

     u e n #  &

    -an'wi'th

    /ines of esolution

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    /ines of esolution (contHd)

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    L2 - TA %6

    TA%6 -M%@ Motor Outoar3 @or07o#tal

    A#al/7e Spectrum

    %-Mar-!% !$'%'&

    P ) *!,

    LOAD ) %!!*!

    RPM ) %($6*

    RPS ) 2(*$(

    ! (!! ,!! %2!! %6!!

    !

    !*%

    !*2

    !*

    !*(

    !*&

    Fre.ue#c/ 0# @7

       P      A  c  c  e   l  e  r  a   t   0  o  #   0  #   +  -  4

    L2 - TA %6

    TA%6 -M%@ Motor Outoar3 @or07o#tal

    A#al/7e Spectrum

    %-Mar-!% !$'%('%6

    P ) *,&2

    LOAD ) %!!*!

    RPM ) %($*

    RPS ) 2(*$&

    ! (!! ,!! %2!! %6!!

    !

    !*!(

    !*!,

    !*%2

    !*%6

    !*2!

    Fre.ue#c/ 0# @7

       P      A  c  c  e   l  e

      r  a   t   0  o  #   0  #   +  -  4

    0  The s0ectrum sho5n /is0lays/ata at +"" L.E.? 5ith an )ma*of $("" 4z

    he second spectrumdisplays the same data but*ith B77 /,%, o#er thesame ?maF

    !indo*ing and /ea3age

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     / ))T base/ measurements are subBect to errors from an

    e9ect kno5n as leakage.

     /  This e9ect occurs 5hen the ))T is com0ute/ from of a block

    of /ata 5hich is not 0erio/ic.

     /  To correct this 0roblem a00ro0riate 5in/o5ing functions

    must be a00lie/.

     /  The user must choose the a00ro0riate 5in/o5 function for

    the s0eci7c a00lication.

     / hen 5in/o5ing is not a00lie/ correctly1 then errors may beintro/uce/ in the ))T am0litu/e1 fre3uency or overall sha0e

    of the s0ectrum.

    !indo*ing and /ea3age

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     / Leakage! Leakage is cause/ 5hen the time 5aveform signal

    /oes ET begin an/ en/ at the same 0oint1 intro/ucing

    s0urious fre3uencies.

     /  The in/o5 or 5eighting function attenuates the signal

    to5ar/s the e/ge of the 5in/o5 J minimizing leakage.

    )re3uency )re3uency

    !indo*ing and /ea3age

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    ?e3uire/ to solve FLeakageH

    everal Ty0es!

     / 4anning J 6ost Commonly use/

     / :niform

     / 4amming

     / 8lackman-4arris4anning in/o5! best com0romise bet5een fre3uency

    resolution an/ am0litu/e accuracy for stea/y-statemachinery analysis

     / :niform or )lat-To0! is the best choice for transientmachinery analysis.

    !indo*ing and /ea3age

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     /  The most common 5in/o5s an/ their features are given

    belo5.

     /  This table can be use/ to choose the best 5in/o5ing

    function for each a00lication.

    A#eraging / Linear Averaging! In linear averaging1 each instantaneous s0ectrum is

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    g g g g 0

    a//e/ to the ne*t an/ the sum is /ivi/e/ by the total number of

    s0ectra. This metho/ is useful in obtaining re0eatable /ata for fault

    tren/ing1 as use/ in most 0re/ictive maintenance 0rograms.

     / eak-hol/ Averaging! eak hol/ is not a true averaging metho/. 2uring

    sam0ling time1 the 0eak value registere/ in each analysis cell is

    ca0ture/ an/ /is0laye/. This metho/ is very useful in vie5ing

    transients or for stress analysis calculations.

     / *0onential Averaging! This techni3ue takes the most recent s0ectrum

    collecte/ an/ 5eighs it more heavily than the 0ast /ata. It is useful in

    observing con/itions that are changing slo5ly 5ith res0ect to sam0ling

    time i.e.1 a stea/y-state 0rocess.

     / ynchronous Averaging!  This metho/ utilizes a synchronizing signal

    from the machine being analyze/. The synchronizing signal is usually

    /erive/ from a 0hotocell1 electromagnetic 0icku01 or some other form

    of tachometer in0ut The vibration in0ut is sam0le/ at 0recisely the

    %#erlap A#eraging

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     / hen more than $ average is use/ to calculate the ))T1 it is

    0ossible to use overla00ing sam0les1 as sho5n in )igure

    belo5!

     /  This 5orks 5ell since the 7rst 0art an/ last 0art of the

    sam0le have their am0litu/es re/uce/ in normal averaging1

    5hile the overla00ing sam0le takes full rea/ings at these

    0ositions.

     /  The re/uction in accuracy is very small1 an/ for ))Ts 5ith a

    lo5 )ma* an/ a lot of averages1 collection times can be

    re/uce/ consi/erably.

     /  )or e*am0le1 an ))T 5ith '"" lines1 an )ma* of (""" C61

    an/ + averages 5ithout overla00ing takes ,& secon/s to

    gather the sam0les. ith #" overla0 averaging1 sam0ling

    re uires onl $+ secon/s.

    Display;Storage (6)

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     /  The /ata collectoranalyzer can collect an/ store only a

    limite/ amount of /ata. /  Therefore1 the /ata must be /o5nloa/e/ to the com0uter

    to form a history an/ long-term machinery information

    /atabase for com0arison an/ tren/ing.

     /  To 0erform the above tasks1 management an/ analysis of

    machinery /ata1 /atabase management soft5are are

    re3uire/.

     /  These /atabase management 0rogramme for machinerymaintenance store vibration /ata an/ make com0arison

    bet5een current measurements1 0ast measurements an/

    0re/e7ne/ alarm limits.

    6easurements transferre/ to the vibration analysis

    Display;Storage (B)

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     / 6easurements transferre/ to the vibration analysis

    soft5are are ra0i/ly investigate/ for /eviations from

    normal con/itions. / Everall vibration levels1 ))T1 time 5aveforms.

     /   re0orts can be generate/ sho5ing machines 5hose

    vibration level cross alarm threshol/s.

     / Current /ata are com0are/ to baseline /ata for analysis

    an/ also tren/e/ to sho5 vibration changes over a 0erio/

    of time.

     /  Tren/ 0lots give early 5arnings of 0ossible /efects an/ are

    use/ to sche/ule the best time to re0air.

     ?ormulae)

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    )a*e+orms)a*e+orms

    !a#eforms (6)The time 5aveform is the electrical signal from the sensor

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     /  The time 5aveform is the electrical signal from the sensor.

     / It is a trace of the voltage changes as the instantaneous

    vibration changes from moment to moment.

     /  This voltage is gra0he/ 5ith time. Thus the name Time

    5aveform. The 5aveform 0rovi/es a vie5 into e*actly ho5

    that 0oint is moving or vibrating over time.

    !a#eforms (B)

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     /  Uust like the s0ectral there are certain 0atterns an/

    characteristics to look for 5hen con/ucting 5aveform

    analysis.

     / Ence the characteristics have been i/enti7e/1 the

    analyst can rule out certain faults

    e.g! if the 5aveform is 0erio/ic faults likeLooseness1 8earing /efects1 Cracks coul/be rule/ out.

     / 2ata from the time 0lot 5ill in/icate 5hat ty0e of

    vibration is 0resent. The 7ve ty0es of vibration are

    harmonic1 0erio/ic1 beating1 im0ulsive1 or ran/om

    )a*e+orms ,-.)a*e+orms ,-.

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    The analysis of time waveform data is not a new technique2 -n the early days of vibration

    analysis time waveform data was viewed on oscilloscopes and frequency components

    calculated by hand2 The relationship between frequency and time is as follows7

    f A 3*p where7

    0 f is the frequency in B'

    0 p is the period in seconds ;the amount of time required to complete 3 cycle<

    /nowle'ge o this

    relationship permits the

    'etermination o

    re3uen#& #omponents

    rom the raw wa0eorm

    'ata5

    )a*e+orms,/.)a*e+orms,/.

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    (or e9ample7

     

    , ., .

     

    (his wa0eorm was a#3uire'

    rom a 1D6 RP% pump5 (he

    time spa#ing )etween the impa#ts

    is 5++ se#on's5 rom thisinormation the re3uen#& #an )e

    'etermine'5

    @ 1p @ 1 5++ @ 25F

    H. @ 1D CP%

    (his in'i#ates that the impa#t is

    o##urring at a re3uen#& o 1 x

    RP%5

    )a*e+orms,0.)a*e+orms,0.

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    -n most situations the time waveform pattern is very comple9 as illustrated below and

    therefore the determination of frequency components is e9tremely difficult using this

    method and is not recommended2

    -n most situations time waveform data is best utili'ed by applying the principles of

    pattern recognition and if necessary calculating the frequency components of the

    ma6or events in the waveform pattern2

    )hen to Use Time )a*e+orm)hen to Use Time )a*e+orm

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    T0me ?a9e:orm ca# e u4e3 e::ect09el/ to e#

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    T0me ?a9e:orm ca# e appl0e3 to a#/ 90rat0o# prolem* I# 4ome 40tuat0o#4

    #ormal 4pectral a#3 p

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    The $ey to successful analysis of time waveform data is in the set up of the

    instrument2 The following items have to be considered when setting up theinstrument2

    0 U#0t o: mea4ureme#t

    0 T0me per0o3 4ample3

    0  Re4olut0o#

    0  A9era;0#;

    0  0#3o?4

    Units o+ Measurement,1.Units o+ Measurement,1.

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     mplitude measurement units should be generally selected based upon the

    frequencies of interest2 The plots below illustrate how measurement unit selection

    affects the data displayed2 Each plot contains @ separate frequency components of

    4B'1 @44B'1 and JC4 B'2

    (his 'ata was ta>en using 'ispla#ement

    note how the lower re3uen#& at F H. is

    a##entuate'5

    Units o+ Measurement,2.Units o+ Measurement,2.

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    (he same 'ata is now 'ispla&e' using 0elo#it& note

    how the +H. #omponent is more apparent5

    (he same 'ata is now 'ispla&e' using a##eleration

    note how the large lower re3uen#& #omponent is

    'iminishe' an' the higher re3uen#& #omponent

    a##entuate'5

    (he unit o measurement 'ispla&e' in time

    wa0eorm 'ata shoul' )e the natural unit o the

    trans'u#er use'5 or example i a 'ispla#ement

    rea'ing is re3uire', then a 'ispla#ement trans'u#ershoul' )e use'5 In most #ases where mo'ern 'ata

    #olle#tors are emplo&e' this means that a##eleration

    will )e the unit o #hoi#e5 I 'ata is gathere' rom

    non$#onta#t pro)es on slee0e )earing ma#hines

    'ispla#ement is usuall& use'5

    Time Perio Sam%#e,1.Time Perio Sam%#e,1.

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    The appropriate ("H and Total ,ample Period can be calculated

    by the following formula7

    ("H %P"L A !ines of +esolution 9 +P"

    M f +evolutions desired

     Total sample period secondsL A 4 9 M of revolutions desired

    +P"

    Time Perio Sam%#e,2.Time Perio Sam%#e,2.

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    Re4olut0o#' (or time waveform analysis it is recommended that 344 lines

    ;D4J samples are used

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    The classic sine wave illustrated below is rarely seen in acceleration time waveform2

    This is because acceleration emphasi'es the higher frequency components that are

    almost always present in the vibration signal2 This de8emphasi'es the underlying lower

    frequency signal2

    U#ala#ce

    Inter%retation o+ )a*e+orm !ata,2.Inter%retation o+ )a*e+orm !ata,2.

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    The waveform below is more representative of sinusoidal vibration when viewed in

    acceleration2 Note the high frequency components superimposed on the lower

    frequency2

    Inter%retation o+ )a*e+orm !ata,-.Inter%retation o+ )a*e+orm !ata,-.

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    M04al0;#me#t

     lthough the classic symptoms of misalignment are " and W shapes in the time

    waveform1 these symptoms cannot be relied upon2 The relative phase angle between

    the 3 9 +P" and 9 +P" components determines the shape or pattern of the plot2

    The pattern above illustrates the classic pattern of misalignment2

    Inter%retation o+ )a*e+orm !ata,/.Inter%retation o+ )a*e+orm !ata,/.

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     -n the pattern below the relative phase between 3 9 +P" and 9 +P" was changed J4

    degrees resulting in a very different pattern2

    Inter%retation o+ )a*e+orm !ata,0.Inter%retation o+ )a*e+orm !ata,0.

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    The pattern below originates when the 3 91 & 91 vibrations are 4 degrees apart2

    A l0t 3 S t

    Inter%retation o+ )a*e+orm !ata,3.Inter%retation o+ )a*e+orm !ata,3.

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    Ampl0tu3e S/mmetr/

    When observing time waveform data symmetry above and below the centerline

    a9is is important2 ,ymmetrical data indicates that the machine motion is even on

    each side of the center position2 Non8symmetrical time waveform data indicates

    the motion is constrained possibly by misalignment1 or rubs2

     This waveform pattern is symmetrical above and below the 'ero line2

    Inter%retation o+ )a*e+orm !ata,4.Inter%retation o+ )a*e+orm !ata,4.

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    The following waveform pattern is non8symmetrical above and below the 'ero line2 The

    amplitudes below the line are significantly higher than those above the line2 -n this case

    a misalignment condition was the source2 The mar$ers on the plot indicate 3 9 +P"2

    Inter%retation o+ )a*e+orm !ata,5.Inter%retation o+ )a*e+orm !ata,5.

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    S/mmetr/ o: t

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    This e9ample1 is of two frequency sources that are not harmonically related2 ;C B' and

    34 B'< This is the $ind of signal that could be created when a 8pole motor has an

    electrical hum problem2

    -t can be seen that the higher frequency wave does not always start at the same part of

    the lower frequency cycle and therefore appears to Oride on the other wave causing

    symmetry to be lost2 %are must be e9ercised when determining symmetry of the time

    a9is2 3 9 +P" mar$ers are available in most software programs and should be used to

    avoid confusion2

    Inter%retation o+ )a*e+orm !ata,17.Inter%retation o+ )a*e+orm !ata,17.

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     t first glance this waveform appears to have large impacts occurring with somewhat

    similar spacing2 The hori'ontal a9is is scaled in time units2

     .y using +P" as the hori'ontal a9is and applying 3 9 +P" mar$ers the ma6or impacts

    can be seen to be occurring at appro9imately the same part of the revolution2 Bowever

    closer inspection reveals that the spacing is not e9actly synchronous -n this case the

    problem was a single large defect on the inner race of a bearing2 The change in

    amplitude of the defect was due to the defect coming in and out of the load 'one2

    Inter%retation o+ )a*e+orm !ata,11.Inter%retation o+ )a*e+orm !ata,11.

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    This is the ((T ta$en from the above machine note the highest amplitude at .P(- is

    Q 424C ipsR ;3Cg p$ S .P(- A 23@ ips

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    Beat4 Mo3ulat0o# e::ect4

     nother e9cellent application for time waveform is the observation of beat frequencies

    and modulation effects2 ften these phenomena are audible2 The time span for data

    collection should be set to capture D8C cycles of the beat2

    The time period between the beats on the above waveform is 42C s2 (rom this informationthe frequency of the beat is calculated at 34 %P"2 This represents the frequency

    difference between the two source frequencies -n this case the beat was caused by

    interaction between a H +P" vibration source and a 9 f! vibration source on an

    induction motor2

    Inter%retation o+ )a*e+orm !ata,1-.Inter%retation o+ )a*e+orm !ata,1-.

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    Impact4

    When the ((T process is applied to a signal that contains impacts the true

    amplitude of the vibration is often greatly diminished2 The following time waveform

    was ta$en from an 344 +P" machine2 -t shows several random impacts with

    magnitudes over g p$2 The cause of this signal was a failed rolling element

    bearing2 The shape of the waveform often appears to be a large spi$e followed by a

    Oring down2

    Inter%retation o+ )a*e+orm !ata,1/.Inter%retation o+ )a*e+orm !ata,1/.

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    The plot below was a velocity spectrum ta$en from the same bearing note the

    amplitude of vibration is less than 424D ips2

    Inter%retation o+ )a*e+orm !ata,10.Inter%retation o+ )a*e+orm !ata,10.

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    %are must be e9ercised when

    assessing the amplitude severity of

    3 9 +P" impact vibration using

    spectrum2 This is the spectrum of a

    machine with where the $ey is

    impacting the coupling guard2 The

    amplitude scale indicates

    amplitudes of less than 424 ips2

    This is the time waveform from

    the above machine the

    amplitude of the impacts

    e9ceeds 423C ips2

    -n this case severe damage had

    occurred to the $ey and shaft of

    the machine in question2

    )a*e+orm Ana#$sis,1.)a*e+orm Ana#$sis,1.

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    -n conclusion1 how is this information practically applied in a condition based

    maintenance program2

    Time waveform analysis is an analysis tool2 -t would not recommend that it be ta$en on

    all measurement locations on a regular basis2 This would add significantly to the time

    required and data storage requirements2

    :se Time waveform for the following selected analysis situations to enhance ((T

    information2

    0 Lo? 4pee3 appl0cat0o#4 =le44 t*

    0 I#30cat0o# o: true ampl0tu3e 0# 40tuat0o#4 ?

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    :se an appropriate measurement unit

    0 Roll0#; eleme#t ear0#;4 ;ear4 loo4e#e44 ru4 0mpact4 accelerat0o#

    0 Slee9e ear0#; mac

    0 Beat4 Mo3ulat0o#

    0 Impact4 =4

    Rememer u4e t0me ?a9e:orm to E8@A8CE #ot REPLACE 4pectral 3ata*

    Crest (actor Crest (actor 

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    I#tro3uct0o#

    The %rest (actor is equal to the pea$ amplitude of a waveform divided by the +", value2 The

    purpose of the crest factor calculation is to give an analyst a quic$ idea of how much impacting

    is occurring in a waveform2 -mpacting is often associated with roller bearing wear1 %avitation and

    gear tooth wear2

    -n a perfect sine wave1 with an amplitude of O31 the +", value is equal to 2F4F1 and the crest factor

    is then equal to 32D32 perfect sine wave contains no impacting and therefore crest factors with a

    value higher than 32D3 imply that there is some degree of impacting2

    Crest (actor Crest (actor 

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    Tt wor$ so well when one has a signal

    that consists of non8periodic events1 impacts or random noise 2 .oth impacts and random

    noise appear the same in the spectrum although they mean different things in the conte9t of

    machinery vibration analysis2 The crest factor is therefore useful in giving the analyst a quic$

    idea of what is occurring in the time waveform2

    Crest (actor Crest (actor 

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    Compar04o# o: 2 a9e:orm4

    -n below figures we can see an e9ample of the use of the %rest (actor2 The waveform in figure

    on left has a crest factor of @2432 The waveform in figure on right has a crest factor of 3232

    The data in figure on left represents a machine with serious rolling element bearing wear1 and

    the crest factor is relatively high due to the amount of impacting occurring within the bearing2

    The data in figure on right represents a machine with an unbalance1 but no impacting related to

    bearing wear2

    Crest (actor Crest (actor 

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    Co#clu40o# 

    The %rest (actor is a quic$ and useful calculation that gives the analyst an idea of how

    much impacting is occurring in a time waveform2 This is useful information that is lost if

    one is only viewing a spectrum as the ((T cannot differentiate between impacting and

    random noise2 -mpacting in a time waveform may indicate rolling element bearing wear1

    gear tooth wear or %avitation2 #uite often1 the %rest (actor is trended over time in order

    to see if the amount of impacting is increasing or not2