Nonlocal vibrationofcoupledDLGSsystemsembeddedon Visco-Pasternakfoundation

نویسندگانعلی قربانپور-علی شیراوند -رهی-رضا کلاه چی
نشریهPHYSICA B
تاریخ انتشار۲۰۱۲-۷-۰۱
نوع نشریهالکترونیکی
نمایه نشریهISI ,SCOPUS

چکیده مقاله

In thispaper,vibrationanalysisofthecoupledsystemofdouble-layeredgraphenesheets(CS-DLGSs) embeddedinaVisco-Pasternakfoundationiscarriedoutusingthenonlocalelasticitytheoryof orthotropicplate.ThetwoDLGSsarecoupledbyanenclosingviscoelasticmediumwhichissimulated as aVisco-Pasternakfoundation.ConsideringtheVonKa´rma´n nonlinearstrain-displacement-relations, the motionequationsarederivedusingtheHamilton’sprinciple.Differentialquadraturemethod (DQM)isappliedtoobtainthefrequencyratioforvariousboundaryconditions.Thedetailedparametric studyisconducted,focusingonthecombinedeffectsofthenonlocalparameter,aspectratio,graphene sheet’ssize,boundaryconditionsandtheelasticandviscoelasticmediumcoefficientsonthefrequency ratio ofCS-DLGSs.Inthiscoupledsystem,twocaseofDLGSsvibrationareinvestigatedandcompared with eachother:(1)In-phasevibration(2)Out-of-phasevibration.Theresultsindicatethatthe frequencyratiooftheCS-DLGSsismorethanthesingle-layeredgraphenesheet(SLGS).Theresultsare in goodagreementwiththepreviousresearches.