简介：Bygivingupanyassumptionsaboutdisplacementmodelsandstressdistribution,themixedstateHamiltonequationfortheaxisymmetricproblemofthethicklaminatedclosedcantilevercylindricalshellsisestablished.Anidenticalanalyticalsolutionisobtainedforthethin,moderatelythickandthicklaminatedclosedcantilevercylindricalshells.Allequationsofelasticitycanbesatis-fied,andallelasticconstantscanbetakenintoaccount.

简介：Theresonancesofparametricvibrationwithforcedvibrationisanalyzed,thebifurca-tionequationofthesystemisobtainedandthesinsularityanalysisismade.Someofthelawsandphe-nomenaarerevealed.Thetransitionvarietyandbifurcationdiagramofthephysicalparametricplanearegiven.Theresultscanbeusedinensinecrins.

简介：Anintegratedcouplingelementconsideringwheel-railinterfaceforanalyzingthedynamicresponsesofvehicle-rail-bridgeinteractionsystemwithanon-uniformcontinuousbridgeispresented.Thegoverningequationsoftheinteractionsystemareestablishedfirst,andthesolutionprocedureandassemblymethodofthecouplingelementaredemonstrated.Finally,theaccuracy,efficiencyandfunctionoftheintegratedcouplingelementaretestedusingtwonumericalexamples.Theinfluencesofdifferentcombinationsofrailandbridgeelementlengthinthecouplingelementonthesolutionareinvestigated,andtheeffectsofdifferentrailirregularitiesonthedynamicresponsesarediscussed.

简介：Tosolvethecoupledvibrationofagravitydam-reservoirsystemwithvariablewaterdepthbyusingahybridelementmethod,thefluidregionwithvariablewaterdepthneedstobedis-cretizedbyFEmeshes.However,suchamethodasksforagreatcomputationalcostowingtotheex-cessiveunknowns,especiallywhenthefluidregionwithvariablewaterdepthisrelativelylarge.Toovercometheshortcoming,arefinedboundaryelementmethodisproposedtoanalyzethefluidfield,inwhichonlythediscretizationfortheboundaryofthevariabledepthregionisrequired.Butasabasisofthisapproach,itisnecessarytoconstructanewGreen’sfunctioncorrespondingtoaninfinitestripregion.TheproblemissolvedasthefirststepinthispaperbyemployingFridman’soperatorfunctiontheory,andthenamixedFE-BEformulationforanalyzingthefreevibrationofthegravitydam-reservoirsystemisderivedbymeansofthecouplingconditionsonthedam-reservoirinterface.Final-ly,anumericalexampleisprovidedtoillustrateagreatimprovementofthemethoddevelopedhereinoverthehybridelementmethod.