MSC.NastranVersion68BasicDynamicAnalysisUser’sGuideCorporateMSC.SoftwareCorporation2MacArthurPlaceSantaAna,CA92707USATelephone:(800)345-2078Fax:(714)784-4056EuropeMSC.SoftwareGmbHAmMoosfeld1381829Munich,GermanyTelephone:(49)(89)4319870Fax:(49)(89)4361716AsiaPacificMSC.SoftwareJapanLtd.ShinjukuFirstWest8F23-7NishiShinjuku1-Chome,Shinjyku-Ku,Tokyo160-0023,JapanTelephone:(81)(03)69111200Fax:(81)(03)69111201WorldwideWeb:Copyright2004MSC.SoftwareCorporation.PrintedinU.S.A.AllRightsReserved.Thisnoticeshallbemarkedonanyreproductionofthisdocumentation,inwholeorinpart.Anyreproductionordistributionofthisdocument,inwholeorinpart,withoutthepriorwrittenconsentofMSC.SoftwareCorporationisprohibited.Thesoftwaredescribedhereinmaycontaincertainthird-partysoftwarethatisprotectedbycopyrightandlicensedfromMSC.Softwaresuppliers.MSC,MSC/,MSC.,MSC.Dytran,MSC.Fatigue,MSC.Marc,MSC.Patran,MSC.PatranAnalysisManager,MSC.PatranCATXPRES,MSC.PatranFEA,MSC.PatranLaminateModeler,MSC.PatranMaterials,MSC.PatranThermal,MSC.PatranQueueManagerandPATRANaretrademarksorregisteredtrademarksofMSC.SoftwareCorporationintheUnitedStatesand/orothercountries.NASTRANisaregisteredtrademarkofNASA.PAM-CRASHisatrademarkorregisteredtrademarkofESIGroup.SAMCEFisatrademarkorregisteredtrademarkofSamtechSA.LS-DYNAisatrademarkorregisteredtrademarkofLivermoreSoftwareTechnologyCorporation.ANSYSisaregisteredtrademarkofSASIP,Inc.,awhollyownedsubsidiaryofANSYSInc.ABAQUSisaregisteredtrademarkofABAQUSInc.ACISisaregisteredtrademarkofSpatialTechnology,Inc.CATIAisaregisteredtrademarkofDassaultSystemes,SA.EUCLIDisaregisteredtrademarkofMatraDatavisionCorporation.FLEXlmisaregisteredtrademarkofGLOBEtrotterSoftware,Inc.HPGLisatrademarkofHewlettPackard.PostScriptisaregisteredtrademarkofAdobeSystems,Inc.PTC,CADDSandPro/ENGINEERaretrademarksorregisteredtrademarksofParametricTechnologyCorporationoritssubsidiariesintheUnitedStatesand/orothercountries.Unigraphics,ParasolidandI-DEASareregisteredtrademarksofElectronicDataSystemsCorporationoritssubsidiariesintheUnitedStatesand/orothercountries.Allotherbrandnames,productnamesortrademarksbelongtotheirrespectiveowners.CONTENTSMSC.NastranBasicDynamicsUser’sGuidePreface AboutthisBook,xvi Acknowledgements,xvii ListofMSC.NastranBooks,xviii TechnicalSupport,xix InternetResources,xxii PermissiontoCopyandDistributeMSCDocumentation,xxiii1sFundamentalsofDynamicAnalysis Overview,2 EquationsofMotion,3 DynamicAnalysisProcess,12 DynamicAnalysisTypes,142FiniteElementInputData Overview,16 MassInput,17 DampingInput,23 UnitsinDynamicAnalysis,27 DirectMatrixInput,29❑DirectMatrixInput,29❑DMIGBulkDataUserInterface,30❑DMIGCaseControlUserInterface,313RealEigenvalueAnalysis Overview,34 ReasonstoComputeNormalModes,36 OverviewofNormalModesAnalysis,37 MethodsofComputation,43❑LanczosMethod,43❑GivensandHouseholderMethods,44❑ModifiedGivensandModifiedHouseholderMethods,44MSC.NastranBasicDynamicsUser’sGuide❑AutomaticGivensandAutomaticHouseholderMethods,44❑InversePowerMethod,45❑SturmModifiedInversePowerMethod,45 ComparisonofMethods,46 UserInterfaceforRealEigenvalueAnalysis,48❑UserInterfacefortheLanczosMethod,48❑UserInterfacefortheOtherMethods,50 SolutionControlforNormalModesAnalysis,54❑ExecutiveControlSection,54❑CaseControlSection,54❑BulkDataSection,55 Examples,56❑Two-DOFModel,57❑CantileverBeamModel,60❑BracketModel,66❑CarFrameModel,71❑TestFixtureModel,76❑QuarterPlateModel,78❑DMIGExample,814Rigid-bodyModes Overview,88 SUPORTEntry,90❑TreatmentofSUPORTbyEigenvalueAnalysisMethods,90❑TheoreticalConsiderations,91❑ModelingConsiderations,94 Examples,96❑UnconstrainedBeamModel,96❑UnconstrainedBracketExample,1015FrequencyResponseAnalysis Overview,104 DirectFrequencyResponseAnalysis,106❑DampinginDirectFrequencyResponse,106 ModalFrequencyResponseAnalysis,108❑DampinginModalFrequencyResponse,109❑ModeTruncationinModalFrequencyResponseAnalysis,112❑DynamicDataRecoveryinModalFrequencyResponseAnalysis,112 ModalVersusDirectFrequencyResponse,114 Frequency-DependentExcitationDefinition,115❑Frequency-DependentLoads–RLOAD1Entry,115❑Frequency-DependentLoads–RLOAD2Entry,116❑SpatialDistributionofLoading--DAREAEntry,117❑TimeDelay–DELAYEntry,117❑PhaseLead–DPHASEEntry,118❑DynamicLoadTabularFunction--TABLEDiEntries,118❑DAREAExample,121❑StaticLoadSets–LSEQEntry,122❑LSEQExample,123❑DynamicLoadSetCombination–DLOAD,124 SolutionFrequencies,125❑FREQ,125❑FREQ1,126❑FREQ2,126❑FREQ3,126❑FREQ4,1