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1、InvestigatingVariousModalAnalysisExtractionTechniquestoEstimateDampingRatioAngelMoisesIglesiasThesissubmittedtotheFacultyoftheVirginiaPolytechnicInstituteandStateUniversityinpartialfulfillmentoftherequirementsforthedegreeofMasterDegreeinMechanicalEngineeringAlfredL.WicksRicard
2、oA.BurdissoLarryD.MitchellJune29,2000Blacksburg,VirginiaKeywords:Vibrations,DampingRatio,DynamicPropertiesCopyright2000:AngelMoisesIglesiasInvestigatingVariousModalAnalysisExtractionTechniquestoEstimateDampingRatioAngelMoisesIglesiasAbstractManyresearchershavedevotedtheirworkt
3、othedevelopmentofmodalanalysisextractiontechniquesinordertoobtainmorereliableidentificationofthemodalparameters.Also,asaconsequenceofallthiswork,therearesomeotherworksdevotedtotheevaluationandcomparisonofthesemethodsinordertofindwhichoneisthemostreliablemethodwithrespecttocert
4、aincharacteristics.InthisthesistheRationalFractionPolynomial(RFP)Method,thePronyorComplexExponentialMethod(CEM),theIbrahimTimeDomain(ITD)Method,andHilbertEnvelopeMethodareusedtoevaluatehowtheaccuracyofthedampingratioisaffectedwithrespecttovariousparametersandconditions.Theinve
5、stigationfocusesintheestimationofdampingratiobecauseamongthemodalparameters,itisthemostdifficulttomodel.EachmethodisevaluatedindividuallyinordertounderstandhowthedampingratioestimationisaffectedwithrespecttoeachmethodwhenthecharacteristicsoftheFRFarechanged.Also,theyarecompare
6、dtoshowthat,ingeneral,theRationalFractionPolynomialMethodisamorereliablemethodthantheothermethods.Toinvestigatethis,asimulatedanalyticaldataandanexperimentaldataareprocessedtoestimatethemodalparameters,butfocusinginthedampingratio.Forthesimulatedanalyticaldatathedampingratio’s
7、percentoferrorwerecalculated.Thehighestdampingratio’spercentoferroroftheRFPwas0.0073501%.Intheotherhand,fortheCEM,ITD,andHilbertEnvelopeMethodtheirhighestdampingratio’spercentoferrorwere83.02%,99.82%,and4.077%,respectively.AcknowledgmentIwanttoexpressmygratitudetoalotofpeoplet
8、hatduringthepasttwoyearshavesupportedmeinsomewayoranother.Tom
