Computational Structural Dynamics

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1、Chapter5ComputationalStructuralDynamicsGregoryM.HulbertUniversityofMichigan,AnnArbor,MI,USATheaimofthischapteristoprovideanoverviewand1Introduction169astate-of-the-artcompilationofcomputationalmethods2FormulationofEquationsofStructuralforsolvingproblemsofdynamics,withaparticularfocusDynamics

2、170onstructuraldynamics.Publishedin1983,thehandbook3TimeIntegrationAlgorithms175editedbyBelytschkoandHughes(1983)standsasoneoftheoutstandingperspectivesoncomputationalmethods4LinearStructuralDynamics181fortransientanalysisingeneral,andstructuraldynamics5NonlinearDynamics184inparticular.Chapt

3、er9ofHughes(1987)providesan6PracticalConsiderationsforTimeIntegrationupdatetothematerialpresentedinthehandbook.InsteadAlgorithms187ofrepeatingthematerialpresentedinthosecollections,theReferences189presentworkfocusesoncomputationalmethodsdevelopedsincepublicationofthesetworeferences.Someoverl

4、apofmaterialdoesoccurinordertoprovidethereader1INTRODUCTIONwithahistoricalcontextofstructuraldynamicsalgorithmdevelopment.OutsideofthescopeofthischapterareTheroleoftransientanalysisofdynamicalsystemshasbeenstrategiesforsolvingthesystemofequationsthatariseattheforefrontofcomputationalmethodsf

5、romthebegin-fromthepresentedalgorithms,despitethepromiseoftimeningofthemoderncomputationalera.Fromcomputingbal-integrationalgorithmsthathavebeendevelopedwithanlistictrajectories,tothedesignofcrashworthyautomobiles,aimtotakeadvantageofparallelormassivelydistributedtotheanalysisanddesignofmicr

6、omechanicalresonators,computingarchitectures.theneedtocomputethedynamicresponseofstructuralsys-Includedisanoverviewofcomputationalmethodsfortemshasbeencritical.Algorithmshavebeenavailablesincemultibodydynamics,sincemanyofthesignificantdevel-thelate1800sforsolvingordinarydifferentialequationso

7、pmentsintimeintegrationmethodsfornonlineardynam-oftheformassociatedwithstructuraldynamicsproblems.icshavefocusedonthesolutionofmultibodydynamicsEventoday,themostcommontimeintegrationmethodusedproblems.Indeed,thedivisionbetweenstructuraldynam-incomm