Seismic Analysis of Structures with Viscoelastic Dampers

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1、SeismicAnalysisofStructureswithViscoelasticDampers12M.P.Singh,F.ASCE;andT.-S.ChangAbstract:Viscoelasticdampersarebeingusedinstructurestomitigatedynamiceffects.Themodelsofvaryingcomplexitiesfromsimplemaxwellelementtodifferentialmodelswithfractionalandcomplexorderderivativeshavebeenusedtorepresentthe

2、irfrequency-dependentforcedeformationcharacteristics.Morecomplexmodelsareabletocapturethefrequencydependenceofthematerialprop-ertiesbetter,butaredifÞculttouseinanalyses.However,theclassicalmodelsconsistingofassembliesofKelvinand/orMaxwellelementswithanadequatenumberofparameterscanbeformedtocapturet

3、hefrequencydependenceasaccuratelyasthemoresophis-ticatedfractionalderivativemodelscando.Themainadvantageinadoptingtheseclassicalmodelsisasimplerandsmallersystemofequations,whichcanbeconvenientlyanalyzedfornonlinearandlinearsystems.Inthisstudy,thetwoclassicalmechanicalmodelsconsistingofKelvinchainsa

4、ndMaxwellladderareused.Itisshownthatthesemechanicalmodelsareaseffectiveasthefractionalderivativemodelincapturingtheeffectofthefrequencydependenceofthematerialpropertiesinresponsecalculationsandaremoreconvenienttouseindynamicresponseanalyses.DOI:10.1061/
ASCE0733-9399
2009135:6
571CEDatabasesubje

5、ctheadings:Seismicanalysis;Viscoelasticity;Damping;Structuralcontrol.IntroductionZhangetal.1989;ZhangandSoong1982;ShenandSoong1995.AnotherapproachistouseanalyticalmodelsthathavetheViscoelasticdampersaresomeofthepreferredenergydissipationsamestorageandlossmoduliasintheexperimentaldata.Adevicesforpa

6、ssiveseismicresponsecontrolofstructures.WhensimpleMaxwellmodeloritsmodiÞcationshavebeenusedinstalledinastructure,theyprovideenergydissipationandstiff-
Kirekawaetal.1992;Singhetal.2003,buttheydonothaveness,andbothofthesecharacteristicsarefrequencyandtempera-enoughparameterstoaccuratelycapturethefre

7、quencydepen-dence.Tocaptureitmoreaccurately,amoresophisticatedfrac-turedependent.ThesecharacteristicsarecommonlydeÞnedintionalderivativemodelhasbeenusedinseveralstudiesinvolvingtermsofexperimentallyobtained