Nonlinear Structures & Systems, Volume 1: Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics 2020

291 Pages·2021·27.194 MB·English

by  Gaetan Kerschen, Matthew R.W. Brake, Ludovic Renson

Conference Proceedings of the Society for Experimental Mechanics Series
Gaetan Kerschen · Matthew R. W. Brake
Ludovic Renson Editors
Nonlinear Structures
& Systems, Volume 1
Proceedings of the 38th IMAC, A Conference
and Exposition on Structural Dynamics 2020
Conference Proceedings of the Society for Experimental Mechanics
Series
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KristinB.Zimmerman,Ph.D.
SocietyforExperimentalMechanics,Inc.,
Bethel,CT,USA
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SeriesvolumesfollowtheprincipletracksorfocustopicsfeaturedineachoftheSociety’stwoannualconferences:IMAC,
AConferenceandExpositiononStructuralDynamics,andtheSociety’sAnnualConference&Expositionandwilladdress
criticalareasofinteresttoresearchersanddesignengineersworkinginallareasofStructuralDynamics,SolidMechanics
andMaterialsResearch.
Moreinformationaboutthisseriesathttp://www.springer.com/series/8922
Gaetan Kerschen • Matthew R. W. Brake • Ludovic Renson
Editors
Nonlinear Structures & Systems, Volume 1
Proceedings of the 38th IMAC, A Conference and Exposition on
Structural Dynamics 2020
Editors
GaetanKerschen MatthewR.W.Brake
DepartmentofAerospace DepartmentofMechanicalEngineering
andMechanicalEngineering RiceUniversity
UniversityofLie`ge Houston,TX,USA
Lie`ge,Belgium
LudovicRenson
MerchantVenturersBuilding
UniversityofBristol
Bristol,UK
ISSN2191-5644 ISSN2191-5652 (electronic)
ConferenceProceedingsoftheSocietyforExperimentalMechanicsSeries
ISBN978-3-030-47625-0 ISBN978-3-030-47626-7 (eBook)
https://doi.org/10.1007/978-3-030-47626-7
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Preface
Nonlinear Structures & Systems represents one of eight volumes of technical papers presented at the 38th IMAC, A
Conference and Exposition on Structural Dynamics, organized by the Society for Experimental Mechanics, and held
in Houston, Texas, February 10–13, 2020. The full proceedings also include volumes on Dynamics of Civil Structures;
Model Validation and Uncertainty Quantification; Dynamic Substructures; Special Topics in Structural Dynamics &
Experimental Techniques; Rotating Machinery, Optical Methods & Scanning LDV Methods; Sensors and Instrumentation,
Aircraft/Aerospace,EnergyHarvesting&DynamicEnvironmentsTesting;andTopicsinModalAnalysis&Testing.
Eachcollectionpresentsearlyfindingsfromexperimentalandcomputationalinvestigationsonanimportantareawithin
StructuralDynamics.Nonlinearityisoneoftheseareas.
Thevastmajorityofrealengineeringstructuresbehavenonlinearly.Therefore,itisnecessarytoincludenonlineareffects
inallthestepsoftheengineeringdesign:intheexperimentalanalysistools(sothatthenonlinearparameterscanbecorrectly
identified)andinthemathematicalandnumericalmodelsofthestructure(inordertorunaccuratesimulations).Insodoing,
itwillbepossibletocreateamodelrepresentativeoftherealitywhich,oncevalidated,canbeusedforbetterpredictions.
Severalnonlinearpapersaddresstheoreticalandnumericalaspectsofnonlineardynamics(coveringrigoroustheoretical
formulationsandrobustcomputationalalgorithms)aswellasexperimentaltechniquesandanalysismethods.Therearealso
papersdedicatedtononlinearityinpracticewherereal-lifeexamplesofnonlinearstructureswillbediscussed.
Theorganizerswouldliketothanktheauthors,presenters,sessionorganizers,andsessionchairsfortheirparticipationin
thistrack.
Liège,Belgium G.Kerschen
Houston,TX,USA M.R.W.Brake
Bristol,UK L.Renson
v
Contents
1 ConvergenceStudyontheC-BeamUsingJointModesBasedonTrialVectorDerivatives..................... 1
FlorianPichlerandWolfgangWitteveen
2 SemiHyper-ReductionforNonlinearSurfaceLoadsonFiniteElementStructuresbytheUseofStress
Modes..................................................................................................................... 9
LukasKoller,WolfgangWitteveen,andFlorianPichler
3 ParameterIdentificationofaLinearSubstitutionModelforNonlinearContactandDampingInside
LapJointsUsingDistributedOptimization .......................................................................... 15
StefanPöchacker,ThomasLauß,FlorianPichler,StefanOberpeilsteiner,andWolfgangWitteveen
4 FlexibleMultibodyDynamics:WhichTermsoftheEquationsofMotionHavetoBeConsideredfor
WhichProblem?......................................................................................................... 31
WolfgangWitteveenandFlorianPichler
5 ApplicationoftheBouc-WenModeltoBoltedJointDynamics.................................................... 35
DrithiShetty,MatthewS.Allen,andJosephD.Schoneman
6 SomeAspectsofUsingtheRandomDecrementTechniqueforNonlinearSystems.............................. 39
KarstenK.Vesterholm,RuneBrincker,andAndersBrandt
7 InvestigationofStringMotionsofBowedStringInstruments:AFiniteElementApproach................... 43
ÖzgeAkarandKaiWillner
8 FreeDyn: A Free, Flexible and State of the Art Multibody Simulation Package for Education,
ResearchandIndustrialApplications................................................................................. 49
WolfgangWitteveen,LaussThomas,andOberpeilsteinerStefan
9 ForceProbingtoAccessPotentialEnergy............................................................................ 55
YawenXuandLawrenceN.Virgin
10 ModelingandExperimentalValidationofaPylonSubassemblyMockupwithMultipleNonlinearities...... 59
ConnorLigeikis,AdamBouma,JustinShim,SimoneManzato,RobertJ.Kuether,andDanielR.Roettgen
11 Comparison Between Control-Based Continuation and Phase-Locked Loop Methods for the
IdentificationofBackboneCurvesandNonlinearFrequencyResponses......................................... 75
FlorianMüller,GaëtanAbeloos,ErhanFerhatoglu,MarenScheel,MatthewR.W.Brake,PaoloTiso,Ludovic
Renson,andMalteKrack
12 ImplementingtheRestoringForceSurfaceMethodtoFitExperimentallyMeasuredModalCoupling
Effects..................................................................................................................... 79
BenjaminMoldenhauer,DanielR.Roettgen,andBenjaminPacini
13 Identification of Backbone Curves and Nonlinear Frequency Responses using Control-based
ContinuationandLocalGaussianProcessRegression.............................................................. 83
LudovicRenson
vii
viii Contents
14 ModelCorrelationtoaNonlinearBoltedStructureUsingQuasi-StaticModalAnalysis....................... 87
MitchellWall,SeyedImanZareEstakhraji,andMatthewS.Allen
15 NumericalContinuationofPeriodicOrbitsforHarmonicallyForcedNonlinearSystems
withIwanJoints ......................................................................................................... 91
SeyedImanZareEstakhraji,MatthewS.Allen,andDrithiShetty
16 ADigitalAbsorberforNonlinearVibrationMitigation ............................................................ 105
GhislainRaze,SylvainGuichaux,AndyJadoul,ValeryBroun,andGaetanKerschen
17 Control-BasedContinuationofNonlinearStructuresUsingAdaptiveFiltering................................. 109
GaëtanAbeloos,LudovicRenson,ChristopheCollette,andGaetanKerschen
18 TuningofFiniteElementModelParameterstoMatchNonlinearReducedOrderModels..................... 113
KyusicParkandMatthewS.Allen
19 TowardsanUnderstandingoftheTransientBehavioroftheFive-ParameterIwan-TypeModel.............. 117
RobertM.LacayoandMatthewS.Allen
20 OntheSolutionofNonlinearAlgebraicEquationsFollowingPeriodicForcedResponseAnalysis
ofNonlinearStructuresUsingDifferentNonlinearSolvers ........................................................ 121
H.SefaKizilayandEnderCigeroglu
21 Vibration-BasedBoltTensionEstimationforMulti-boltJoints.................................................... 129
M.Brøns,A.Plaugmann,J. J.Thomsen,andA.Fidlin
22 ExperimentalApplicationofControl-Based-ContinuationforCharacterizationofIsolatedModeson
Single-andMultiple-Degree-of-FreedomSystems................................................................... 135
GlebKleyman,MartinPaehr,andSebastianTatzko
23 NonlinearFunctionSelectionandParameterEstimationofStructureswithLocalisedNonlinearities,
Part1:NumericalAnalysis............................................................................................. 139
SinaSafariandJulianM.LondonoMonsalve
24 Tutorial on Nonlinear Reduced Order Modeling for Nominally Cyclic Symmetric Structures
andRotatingMachinery................................................................................................ 151
MainakMitra,AndreaLupini,AndrewMadden,ChiaraGastaldi,andBogdanEpureanu
25 ExcitationTechniquesforNonlinearDynamicSystems:ASummary............................................. 157
MaheshNagesh,AkhilSharma,RandallJ.Allemang,andAllynW.Phillips
26 FlutterofDouble-BayPanelswithFiniteMidbayStiffness ........................................................ 175
J. D.Schoneman
27 NonlinearSystemIdentificationofaJointedStructureUsingFull-FieldData:PartIIAnalysis .............. 185
Giancarlo Kosova, Mengshi Jin, Mattia Cenedese, Wei Chen, Aryan Singh, Debasish Jana,
Matthew R. W. Brake, Christoph W. Schwingshackl, Satish Nagarajaiah, Keegan J. Moore,
andJean-PhilippeNoël
28 ControlParametersinNon-linearPropertiesofLinearGuidewayinLateralDirection ....................... 189
Ting-YenWu,Yi-ChunLo,andYumJiChan
29 InferringUnstableEquilibriumConfigurationsfromObservedDynamics ...................................... 199
YawenXu,LawrenceN.Virgin,andRichardWiebe
30 BoltPreloadLossDuetoModalExcitationofaC-BeamStructure............................................... 203
Max Miller, Chris Johnson, Noah Sonne, John Mersch, Robert J. Kuether, Jeff Smith, Jonel Ortiz,
GustavoCastelluccio,andKeeganJ.Moore
31 NonlinearDynamicAnalysisofBoltedJoints:DetailedandEquivalentModelling............................. 215
N.Jamia,H.Jalali,J.Taghipour,M. I.Friswell,andH. H.Khodaparast
32 TheRelevanceofNonlinearNormalModesforRandomlyExcitedNonlinearMechanicalSystems.......... 223
ThomasBreunungandGeorgeHaller
Contents ix
33 AnalysisofanActuatedFrictionalInterfaceforImprovedDynamicPerformance ............................. 227
M.Lasen,Y.Sun,C. W.Schwingshackl,andD.Dini
34 VibrationReductionofaStructurebyUsingNonlinearTunedVibrationAbsorbers........................... 231
MuhammedEminDoganandEnderCigeroglu
35 Simulation-Free Reduction Basis Interpolation to Reduce Parametrized Dynamic Models of
GeometricallyNon-linearStructures.................................................................................. 237
ChristianH.MeyerandDanielJ.Rixen
36 ExperimentalSpectralSubmanifoldReducedOrderModelsfromMachineLearning......................... 249
MattiaCenedeseandGeorgeHaller
37 DevelopmentofanExperimentalRigforEmulatingUndulatoryLocomotion................................... 253
S. N. H.Syuhri,A.McCartney,andA.Cammarano
38 IdentificationandModelingofaVariableAmplitudeFatigueExperimentApparatuswithDamaged
BeamSpecimen.......................................................................................................... 265
HewenxuanLiandDavidChelidze
39 Higher-OrderDecompositionsforModalIdentificationandModelOrderReduction.......................... 271
DavidChelidze
40 UtilizingModalTestingforMonitoringtheStructuralHealthofWindTunnelFacilityHardware ........... 279
KennethPedersonandVicenteSuarez
41 AnEfficientCoupledModalQuasi-staticApproachforCharacterizingNon-linearModalProperties
ofPrestressedStructures ............................................................................................... 287
NidishNarayanaaBalajiandMatthewR.W.Brake
42 AnAssessmentoftheApplicabilityandEpistemicUncertaintiesInherenttoDifferentClassesof
FrictionModelsforModelingBoltedInterfaces..................................................................... 291
JustinH.Porter,ClaytonR.Little,NidishNarayanaaBalaji,andMatthewR.W.Brake
43 Hyper-Reduction Approaches for Contact Modeling with Small Tangential Displacements:
ApplicationsforaBoltedJoint......................................................................................... 295
NidishNarayanaaBalaji,TobiasDreher,MalteKrack,andMatthewR.W.Brake
44 FatigueDamageofaSingle-EdgeNotchedBeamSpecimenUnderVariableAmplitudeLoadingwith
SimilarProbabilisticandCycleCountingStatistics................................................................. 301
HewenxuanLiandDavidChelidze
Chapter 1
Convergence Study on the C-Beam Using Joint Modes Based
on Trial Vector Derivatives
FlorianPichlerandWolfgangWitteveen
Abstract In the last years joint modes based on trial vector derivatives have been presented. These joint modes allow an
accurate consideration of nonlinear contact and friction forces inside jointed structures. If these joint modes are used for
modelreduction,evenhighfidelityfiniteelementmodelscanbetime-integratedwithacceptableeffort.Inrecentresearchon
jointnonlinearityandreducedordermodellingagenericstructurecalled“C-beam”or“S4beam”wasused.Thisstructure
consistsoftwoC-shapedbeamsassembledattheirendsbytwoboltedjoints.Inthiswork,thepreviouslymentionedmodel
reductionapproachisappliedtotheC-Beam.Aconvergencestudywithrespecttothenumberofadditionaljointmodesfor
differentexcitationlevelsispresented.Inaddition,itisinvestigatedwhetherjointmodesareabletoreproducewell-known
dampingphenomenaduetofrictioninsidejointsatdifferentpreloadlevels.Forthispurpose,adetailedobservationoflocal
sticking/slippingeffectsisgiven.
Keywords Jointcontact · Friction · Damping · Modelorderreduction · Nonlinearity
1.1 Introduction
Complex mechanical structures are often an assembly of several substructures and hence are connected by some types of
mechanicaljointslikeboltedjoints.Thenonlinearcontactandfrictionforcesandtheresultingdampinginsidethejointcan
significantlydeterminethedynamicresponseofsuchstructures[1].Thisisespeciallythecaseforwidelydistributedjoints
where the stiffness and energy dissipation of the structure is mainly determined by the joint. On the other hand, the local
contactandfrictionforcesinfluencethestressdistributioninsidethejointandthereforhavesignificantinfluenceonfatigue
andwearprediction.Nevertheless,theseeffectsandtheirinfluenceondynamicsarestillanactivefieldofresearchinterms
ofexperimentsandnumericalsimulation.
Structures including contact and friction forces are commonly analyzed with the finite element method (FEM). This
method delivers accurate results in terms of contact stresses and local sticking/slipping effects. However, to ensure good
result quality a high mesh density in the joint region is required which leads to an unacceptable computational effort for
dynamic analyses. For the numerical time integration of linear structures model order reduction strategies like the Craig-
Bamptonmethod[2]arecommonlyused.Inthelastyears,severalstrategieshavebeenpresentedtoextendthismethodfor
thecomputationofjointedstructures.Themostintuitiveapproachistopreservethenonlineardegreesoffreedom(DOF)at
thejointinterfacewithstaticconstraintmodes.Dependingonthesizeofthejointandthemeshdensity,thisapproachleadsa
highnumberofDOFinthereducedsystemandhence,theadvantageofmodelorderreductionwouldbelost.Witteveen[3,
4]presentedaspecializedextensionoftheCraig-Bamptonreductionbasewithso-calledjointinterfacemodes.Furthermore,
theauthorspresentedin[5,6]anextensionstrategywithjointmodesbasedonthetrialvectorderivatives(alsocalledjoint
trialvectorsJTVs)oftheCraig-Bamptonreductionbaseofthelinearstructure.Thelattermentionedapproachwasintegrated
viaaC++subroutineintothecommercialavailablemultibodysoftwareMSC.Adams.Inthisway,jointedstructurescanbe
directlyanalyzedwithinaflexiblemultibodysimulationinvolvingrealisticdynamicloadsofthesurroundingcomponents.
Theenergydissipationinjointsismainlycausedbyrelativedisplacementofthecontactpairs.Adetailedexperimental
investigationofdryfrictioninsidejointshasbeenperformedbyGaulandhisassociates[1,7].Consideringtheentirejoint
threetypesofmotioncanoccur;sticking:theentirejointarearemainsstuck;micro-slip:thecontactareaispartiallyslipping
F.Pichler((cid:2))·W.Witteveen
DepartmentofMechanicalEngineering,SchoolofEngineering,UniversityofAppliedSciencesUpperAustria,Wels,Austria
e-mail:[email protected]
©TheSocietyforExperimentalMechanics,Inc2021 1
G.Kerschenetal.(eds.),NonlinearStructures&Systems,Volume1,ConferenceProceedingsoftheSocietyfor
ExperimentalMechanicsSeries,https://doi.org/10.1007/978-3-030-47626-7_1