Topics in Modal Analysis & Testing, Volume 10: Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016

411 Pages·2016·26.13 MB·English

by  Michael Mains (eds.)

Conference Proceedings of the Society for Experimental Mechanics Series
Michael Mains Editor
Topics in Modal
Analysis & Testing,
Volume 10
Proceedings of the 34th IMAC, A Conference and Exposition
on Structural Dynamics 2016
Conference Proceedings of the Society for Experimental Mechanics Series
SeriesEditor
Kristin B.Zimmerman,Ph.D.
SocietyforExperimental Mechanics,Inc.,
Bethel,CT,USA
Moreinformationaboutthisseriesathttp://www.springer.com/series/8922

Michael Mains
Editor
Topics in Modal Analysis & Testing,
Volume 10
Proceedings of the 34th IMAC, A Conference and Exposition
on Structural Dynamics 2016
123
Editor
MichaelMains
Suite310,Brüel&KjærNorthAmerica
Cincinnati,OH,USA
ISSN2191-5644 ISSN2191-5652 (electronic)
ConferenceProceedingsoftheSocietyforExperimentalMechanicsSeries
ISBN978-3-319-30248-5 ISBN978-3-319-30249-2 (eBook)
DOI10.1007/978-3-319-30249-2
LibraryofCongressControlNumber:2016937012
©TheSocietyforExperimentalMechanics,Inc.2016
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Preface
Topics in Modal Analysis & Testing represents one of ten volumes of technical papers presented at the 34th IMAC, A
Conference and Exposition on Structural Dynamics, organized by the Society for Experimental Mechanics and held in
Orlando,Florida,January25–28,2016.Thefullproceedingsalsoincludevolumesonnonlineardynamics;dynamicsofcivil
structures; model validation and uncertainty quantification; dynamics of coupled structures; sensors and instrumentation;
special topics in structural dynamics; structural health monitoring, damage detection, and mechatronics; and rotating
machinery, hybrid test methods, vibro-acoustics and laser vibrometry, shock and vibration, aircraft/aerospace, energy
harvesting,acousticsandoptics.
Eachcollectionpresentsearlyfindingsfromexperimentalandcomputationalinvestigationsonanimportantareawithin
structuraldynamics.Topicsinmodalanalysisrepresentpapersonenablingtechnologiesformodalanalysismeasurements
andapplicationsofmodalanalysisinspecificapplicationareas.
Theorganizerswouldliketothanktheauthors,presenters,sessionorganizers,andsessionchairsfortheirparticipationin
thistrack.
Cincinnati,OH,USA M.Mains
v

Contents
1 ComparisonofVariousModalVectorEstimationMethodsUsedinModalParameterEstimation ........... 1
R.J.AllemangandA.W.Phillips
2 UsingSingularValueDecompositiontoEstimateFrequencyResponseFunctions .............................. 27
KevinL.Napolitano
3 CurveFittingAnalyticalModeShapestoExperimentalData ..................................................... 45
BrianSchwarz,ShawnRichardson,andMarkRichardson
4 AccelerationMeasurementOptimization:MountingConsiderationsandSensorMassEffect ................ 61
MarineDumont,AndyCook,andNortonKinsley
5 Experimental Study on the Impact of the Number of Laminas on the Dynamics Behavior
ofanElectricMachineStator.......................................................................................... 73
F.Chauvicourt,S.Orlando,W.Desmet,J.J.C.Gyselinck,andC.T.Faria
6 NormalizationofComplexModeShapesbyTruncationofAlpha-Polynomial .................................. 81
A.C.Niranjan,R.J.Allemang,andA.W.Phillips
7 WhatIsNormalAboutNormalModes?.............................................................................. 97
ThomasJ.S.AbrahamssonandRandallJ.Allemang
8 GeneralizedCraig-BamptonMethodUsingRobinBoundaryConditions........................................ 111
FabianM.Gruber,JohannesB.Rutzmoser,andDanielJ.Rixen
9 ForceReconstructionUsingForceGaugesandAccelerometers ................................................... 117
WesleyAxtellandTylerDare
10 ExperimentalandNumericalElastodynamicAnalysisofCompressedOpenThin-WalledBeams............ 125
G.Piana,A.Carpinteri,E.Lofrano,R.Malvano,A.Manuello,andG.Ruta
11 ExperimentalValidationofNonlinearModelTrackingwithVaryingConditions............................... 139
TimothyA.Doughty,AndrewW.Belle-Isle,andNicholasPendowski
12 SpatialDistributionofAcousticRadiationForceforNon-ContactModalExcitation........................... 155
ThomasM.Huber,MikaelaAlgren,andColeRaisbeck
13 ModalParameterIdentificationAlgorithmBasedonPureNormalModeTestTechnology.................... 163
J.M.Liu,F.Liu,andW.D.Zhu
14 TheInfluenceofParameterChoiceinOperationalModalAnalysis:ACaseStudy............................. 179
VolkmarZabel,FilipeMagalhães,andChristianBucher
15 DynamicModulusPropertiesofObjetConnex3DPrinterDigitalMaterials.................................... 191
KatherineK.ReichlandDanielJ.Inman
16 Optimized3DPrintedChiralLatticeforBroadbandVibrationSuppression.................................... 199
BrittanyC.EssinkandDanielJ.Inman
vii
viii Contents
17 EmbeddingSensorsinFDMPlasticPartsDuringAdditiveManufacturing ..................................... 205
LexeyR.Sbriglia,AndrewM.Baker,JamesM.Thompson,RobertV.Morgan,AdamJ.Wachtor,
andJohnD.Bernardin
18 ANeuralNetworkApproachto3DPrintedSurrogateSystems ................................................... 215
RodrigoSarloandPabloA.Tarazaga
19 ModalTestandParameterUpdatingofMetalLaserSinteredComponents ..................................... 223
JosephD.SchonemanandMatthewS.Allen
20 In-ProcessUltrasonicInspectionofAdditiveManufacturedParts................................................ 235
IanCummings,ElizabethHillstrom,RiellyNewton,EricFlynn,andAdamWachtor
21 ExperimentalModalAnalysisofRolledMultiLayerCylindricalShell........................................... 249
CanNerseandSemyungWang
22 High-ResolutionModeShapeIdentificationUsingMobileSensors ............................................... 255
ThomasJ.Matarazzo,MatthewHorner,andShamimN.Pakzad
23 ABlindSourceSeparationBasedApproachforModalParameterEstimationinTraditional
Input-OutputExperimentalModalAnalysisFramework .......................................................... 261
VikasAroraandShashankChauhan
24 MultivariateARMABasedModalIdentificationofaTime-VaryingBeam ...................................... 273
M.BerthaandJ.C.Golinval
25 OptimalParameterIdentificationforModelCorrelationUsingModelReductionMethods................... 281
AustinPhoenix,DustinBales,RodrigoSarlo,ThanhPham,andPabloA.Tarazaga
26 AModifiedInverseEigensensitivityMethodforLargeFiniteElementModels.................................. 293
Dog˘us¸Unlu,EnderCig˘erog˘lu,andGökhanO.Özgen
27 MonteCarloDynamicallyWeightedImportanceSamplingforFiniteElementModelUpdating.............. 303
DanielJ.JoubertandTshilidziMarwala
28 AFiniteElementModelUpdatingMethodConsideringEnvironmentalImpacts............................... 313
ShanglianZhouandWeiSong
29 RedundantInformationRejectioninSensorLocalisationUsingSystemGramians............................. 325
MladenGibanica,ThomasJ.S.Abrahamsson,andDanielC.Kammer
30 Strain-BasedExperimentalModalAnalysisonPlanarStructures:ConceptsandPracticalAspects ......... 335
FábioLuisMarquesdosSantos,BartPeeters,WimDesmet,andLuizCarlosSandovalGóes
31 MagneticExcitationandtheEffectsonModalFrequencyandDamping......................................... 347
B.C.Baver,A.W.Phillips,R.J.Allemang,andJ.Kim
32 AutomatedExtractionofModeShapesUsingMotionMagnifiedVideoandBlindSourceSeparation ....... 355
CharlesJ.Dorn,TylerD.Mancini,ZacharyR.Talken,YongchaoYang,GarrettKenyon,Charles
Farrar,andDavidMascareñas
33 AnAlternativeMIMOFRFEstimationMethodUsingPneumaticExciters...................................... 361
AkhilSharma,DavidL.Brown,RandallJ.Allemang,andAllynW.Phillips
34 EstimatingSystemModalParametersUsingFreeDecayTimeData.............................................. 381
AlexanderYoung,DavidBrown,andRandallJ.Allemang
35 Structural-AcousticModeCouplinginaBoltedAluminumCylinder ............................................ 393
BenjaminPaciniandGregoryTipton
36 AccurateFrequencyMeasurementonSmallStructureswithShakerExcitation................................ 403
ChristopherJ.Pye
37 TheoreticalandExperimentalModalAnalysisCorrelationStudiesforCoupledCatalyticConverter........ 409
NandakishorVenkatesh,RoyA.Pace,andS.B.Kandagal
Chapter 1
Comparison of Various Modal Vector Estimation Methods
Used in Modal Parameter Estimation
R.J.AllemangandA.W.Phillips
Abstract Modal vectors can be estimated in a number of different ways in modern modal parameter estimation (MPE)
algorithms. At the very least, when using single frequency response function (FRF), single degree of freedom (SDOF)
methods, the modal vectors are estimated from a least squares estimate of the residues of a partial fraction model in the
frequency domain, with or without various residuals, or an equivalent model in the time domain. Once the MPE methods
involve multiple input, multiple output (MIMO) FRFs, many options exist. These MIMO MPE methods often involve a
matrix polynomial equation that is solved using eigenvalue-eigenvector methods. Depending on the spatial dimensionality
of the MIMO FRF matrix, these methods estimate an eigenvector that can be used as an estimate of the modal vector
directly or an estimate of a portion (subset) of the modal vector. Alternately, these eigenvectors can be used as weighting
inaMIMOversionofestimatingtheresiduesofthepartialfractionmodelusingaweightedleastsquaresmethod,withor
without residuals.These weighting vectors can benormalized toremove arbitraryrotations intheeigenvectors and/or real
normalizedtoinfluencethepotentialnatureofcomplex-valuedmodalvectors.Thispaperreviewsalloftheapproachesusing
MIMO FRF data on a simple structure where the modal vectors can be expected to be nearly normal modes. Both modal
vectorsandtheassociatedmodalscalingandmeanphasecorrelation(MPC)areevaluatedtodocumentthesimilaritiesand
differences.
Keywords Modal vector estimation (cid:129) Residue estimation (cid:129) Modal vector contamination (cid:129) Modal participation vectors
(cid:129) Modalvectors
Nomenclature
N No.ofinputDOFs
i
N No.ofoutputDOFs
o
N Longdimension
L
N Shortdimension
S
N No.offrequencies
f
N No.ofeffectivemodalfrequencies.
e
N;2N No.ofmodalfrequencies
! Frequency(rad/s)
i
(cid:2) Complexmodalfrequency
r
Π(cid:3) Modalvectormatrix
ŒL(cid:3) Modalparticipationmatrix
A Residue,outputDOFp,inputDOFq,moder
pqr
R Residualinertia,outputDOFp,inputDOFq
Ipq
R Residualflexibility,outputDOFp,inputDOFq
Fpq
ŒC(cid:3) Companionmatrix
ŒH.!/(cid:3) Frequencyresponsefunctionmatrix
i
ŒU(cid:3) Leftsingularvectormatrix
Π(cid:3) Singularvaluematrix(diagonal)
ŒV(cid:3) Rightsingularvector,oreigenvector,matrix
R.J.Allemang((cid:2))(cid:129)A.W.Phillips
StructuralDynamicsResearchLaboratory,MechanicalandMaterialsEngineering,UniversityofCincinnati,Cincinnati,OH45221-0072USA
e-mail:[email protected]
©TheSocietyforExperimentalMechanics,Inc.2016 1
M.Mains(ed.),TopicsinModalAnalysis&Testing,Volume10,ConferenceProceedingsoftheSociety
forExperimentalMechanicsSeries,DOI10.1007/978-3-319-30249-2_1