Proposal Vibration Group 1F

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    1.0 PROBLEM STATEMENT

    A vibrating plate at unknown frequencies is given in this laboratory and we need to propose a

    vibration measurement to investigate the vibration. The measurement must provide the

    following information :

    a) Frequencies of the first five dominant modes

     b) Changes on vibration magnitude if the plate is vibrated the lowest frequency mode

    2.0 HYPOTHESIS

    The frequency and the amplitude depends on the vibrating plate. The higher the frequency the

    higher the amplitude.

    3.0 PROPOSED SOLUTION AND REASON

    The solution is to use the modal analysis using shaker testing.

    !odal analysis is a process whereby we describe a structure in terms of its natural

    characteristics which are the frequency damping and mode shapes which are its dynamic

     properties. "n modal testing F#F measurements are usually made under 

    controlled conditions where the test structure is artificially e$cited by using either an impact

    hammer or one or more shakers driven by broadband signals. A multi%channel FFT analy&er 

    is then used to make F#F measurements between input and output '(F pairs on the test

    structure.

    *AT "+ F#F !,A+-#,!,T+/

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    The Frequency #esponse Function 0F#F) is a fundamental measurement that isolates the

    inherent dynamic properties of a mechanical structure. ,$perimental modal parameters

    0frequency damping and mode shape) are also obtained from a set of F#F measurements.

    The F#F describes the input%output relationship between two points on a structure as a

    function of frequency. ince both force and motion are vector quantities they have directions

    associated with them. Therefore a F#F is actually defined between a single input '(F 0point

    1 direction) and a single output '(F.

    +*A2,# T,+T"3

    hen the input is fi$ed and F#Fs are measured for multiple outputs this corresponds to

    measuring elements from a single column of the F#F matri$. This is typical of a shaker test.

    +ingle #eference 0or +"!() Testing is the most common type of modal testing is done with

    either a single fi$ed input or a single fi$ed output. hen a single fi$ed input 0a shaker) is

    used this is called +"!( 0+ingle "nput !ultiple (utput) testing. "n this case the single fi$ed

    input is called the reference. ot all structures can be impact tested however. For instance

    structure with delicate surfaces cannot be impact tested. 4ecause hitting the surface with

    hammer will surely ruin the surface. (ther than that because of its limited frequency range or 

    low energy density over a wide spectrum the impacting force is not be sufficient to

    adequately e$cite the modes of interest. +haker test usually is continuous and it is easy for the

    sensor to take readings compare to impact test which is not so consistent. A shaker is usually

    attached to the structure using a stinger 0long slender rod) so that the shaker will only impart

    force to the structure along the a$is of the stinger the a$is of force measurement. A load cell

    is then attached between the structure and the stinger to measure the e$citation force. At least

    a 5%channel FFT analy&er and a single a$is accelerometer are required to make F#F

    measurements using a shaker.

    4.0 DESIGN OF EXPERIMENT

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    Figure 1 ,$perimental setup

    Pr!"e#ure

    1. Make sure the accelerometer is frmly attached, or the accelerometer to

    detect true vibration behaviour.2. Install The plate on the table at the horizontal position.3. un the !ab"I#$ sot%are in the computer.

    &. 'onnect the (unction )enerator, si)nal conditioner, *I data lo))er,accelerometer and 'omputer %ith each other to sho% the output result or

    the re+uency.. -ttach a sensor that can detect vibration behaviour and convert it into

    si)nal.. ecord the values o The re+uency o the vibration on plate rom the

    !ab"I#$./. epeat the 0rocedure by usin) 2 z at unction )enerator.

    $.0 FLO%&HART

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    '.0 SIGNAL ANALYSIS

    The investigation of vibration analysis is used to measure the vibration of flat plate based on

    given parameter:

    6. (btain the frequencies of first five dominant modes.

    5. !easure and compare the measured and actual value when the signal is obtained

    7. The differences on vibration magnitude if the plate is vibrated the lowest frequency

    mode.

    (.0 MEASURED PARAMETERS

    The investigation of vibration analysis is used to measure the vibration of flat plate based on

    given parameter:

    6 (btain the frequencies of first five dominant modes.

    5 The differences on vibration magnitude if the plate is vibrated the lowest frequency

    mode

    T80

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    ).0 SENSOR AND INSTRUMENTS

    *i+r,-i! /,er

    %'evice in vibration to e$cite the structure either for endurance testing

    I&P Sig, &!#i-i!er

    %!easure dynamic pressure force or strain which convert mechanical strain into electrical

    signal or waveform)

    S-r,i G,uge

    %!easure strain on ob8ect

    D,i" S-r,i Me-er

    %!easuring the dynamic strain caused by vibration the dynamic behavior of a structure can

     be numeri&ed and graphed in wave form. The analog signal is amplified output and recorded

    to an e$ternal recorder 

    A""eer!e-er

    %!easuring the acceleration of a moving or vibration body

    O/"i!/"!5e

    %'isplays and analyse the waveform of electronic signal and draws a graph of instantaneous

    signal voltage as a function of time

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    NI USB D,-, L!gger

    %!easurements at set intervals over a period of time

    L,+*IE% Sig, Pr!"e//ig

    %Create simulation

    6.0 &ON&LUSION

    As a conclusion students was e$posed to more understanding about vibration analysis on

     plate. "n the e$periment we have studied the frequencies of first five dominant nodes and

    changes of vibration magnitude if the frequency vibration is lower. From our observation we

    can conclude the different of the e$perimental frequency compare than actual frequency is

    due to errors that disturb with the vibration of the plate. *ence that we was understand about

    vibration analysis on plate and the ob8ectives of this e$periment is achieved.

    10.0 REFEREN&ES

    'ibble #obert . 9!, 6;A < ,$perimentation and !easurement= -niversity of California

    at 4erkeley.

    #einkensmeyer 'avid >. 9!A, 6? !echanical +ystems @aboratory= -niversity of 

    California at "rvine.

    2iritsis . *uang . 1 Ayrapetyan '. 057). A multi%purpose vibration e$periment using

    @abview. American +ociety for ,ngineering retrieved from

    http:BBwww.my.ni.comBpdfBacademicBusB8ournalsBamultipurposevib.pdf 

    http:BBwww.reliabilityweb.comBinde$.phpBarticlesBhowisvibrationmeasuredB