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1、EngineeringStructures29(2007)3390–3403www.elsevier.com/locate/engstructDynamicanalysisofspacestructureswithmultipletunedmassdampersY.Q.Guo,W.Q.Chen?DepartmentofCivilEngineering,ZhejiangUniversity,Hangzhou310027,PRChinaReceived7February2007;receivedinrevisedform25April2007;accepted
2、8September2007Availableonline22October2007AbstractFormulationsofthereverberationmatrixmethod(RMM)arepresentedforthedynamicanalysisofspacestructureswithmultipletunedmassdampers(MTMD).Thetheoryofgeneralizedinversematricesisthenemployedtoobtainthefrequencyresponseofstructureswithandw
3、ithoutdamping,enablingauniformtreatmentatanyfrequency,includingtheresonantfrequency.Fortransientresponses,theNeumannseriesexpansiontechniqueassuggestedinRMMisfoundtobecon?nedtothepredictionofaccurateresponseatanearlytime.Thearti?cialdampingtechniqueisemployedheretoevaluatethemediu
4、mandlongtimeresponseofstructures.Thefreevibration,frequencyresponse,andtransientresponseofstructureswithMTMDareinvestigatedbytheproposedmethodthroughseveralexamples.NumericalresultsindicatethattheuseofMTMDcaneffectivelyalterthedistributionofnaturalfrequenciesaswellasreducethefrequ
5、ency/transientresponsesofthestructure.Thehighaccuracy,lowercomputationalcost,anduniformityofformulationofRMMarehighlighted.c2007ElsevierLtd.Allrightsreserved.Keywords:Reverberationmatrixmethod;Spacestructure;Multipletunedmassdampers;Vibrationcontrol;Frequencyresponse;Transientresp
6、onse1.IntroductionengineeringapplicationsofMTMDs[13–15],activecontrolschemewithMTMDs[16–18],etc.However,themodelsofWiththeincreasingdemandsforthesafety,reliability,structuresusedinthesestudiesareallofadiscretenature,durability,andserviceabilityofstructures,thetheoryofofeithersingl
7、e-degree-of-freedom(SDOF)ormultiple-degree-vibrationcontrolhasattainedmoreandmoreattentioninof-freedom(MDOF),solvedeitherbythemethodofmodecivilengineeringwithalotofpracticesbeingimplementedsuperpositionorbythe?niteelementmethod(FEM).Linonmoderninfrastructuressuchashigh-risebuildin
8、gs,long-etal.[19]summarizedsevera
