简介:Thispaperpresentsananalyticalstudyontheinfluenceofedgerestrainingstiffnessonthetransversevibrationsofrectangularplatestructure.AnimprovedFourierseriesmethodwasemployedtoanalyzethetransversevibrationofplatestructurewithgeneralelasticallyrestrainedboundaryconditions.AlinearcombinationofadoubleFourierseriesandeightauxiliarytermswassoughtastheadmissiblefunctionoftheflexuraldisplacementoftheplate,eachtermbeingacombinationofapolynomialfunctionandasinglecosineseriesexpansion.Theauxiliarytermswereintroducedtoensureandimprovethesmoothnessoftheoriginaldisplacementfunctionanditsderivativesattheboundaries.Severalnumericalexamplesweregiventodemonstratethevalidityandaccuracyofthecurrentsolution.Theinfluencesoftranslationalandrotationalstiffnessonthenaturalfrequenciesandmodeshapesofplatewereanalyzedbynumericalresults.Theresultsshowthatthetranslationalstiffnesshasbiggerinfluenceonthenaturalfrequenciesthantherotationalstiffness.Itisgenerallywellknownthatlittlechangeoftherotationalstiffnesshaslittleinfluenceonthemodeshapesofplate.However,thecurrentworkshowsthataverylittlechangeofrotationalstiffnessvaluemayleadtoalargechangeofthemodeshapesofasquareplatestructure.
简介:Theproblemofwaterwavescatteringbyathinverticalelasticplatesubmergedinuniformfinitedepthwaterisinvestigatedhere.TheboundaryconditionontheelasticplateisderivedfromtheBernoulli-Eulerequationofmotionsatisfiedbytheplate.UsingtheGreen’sfunctiontechnique,fromthisboundarycondition,thenormalvelocityoftheplateisexpressedintermsofthedifferencebetweenthevelocitypotentials(unknown)acrosstheplate.Thetwoendsoftheplateareeitherclampedorfree.Thereflectionandtransmissioncoefficientsareobtainedintermsoftheintegrals’involvingcombinationsoftheunknownvelocitypotentialonthetwosidesoftheplate,whichsatisfythreesimultaneousintegralequationsandaresolvednumerically.Thesecoefficientsarecomputednumericallyforvariousvaluesofdifferentparametersanddepictedgraphicallyagainstthewavenumberinanumberoffigures.
简介:Sloshingphenomenonintheliquidcargocarriershascaughttheattentionofresearchersastheinteractionbetweenthesloshingwavesandstructureisoneofthekeypointanddifficultyinthestudyofsloshing.Inthispaper,wecapturedthefreesurfacewithavolumeoffluid(VOF)methodandthencalculatedthemotionsandresponsesofthestructurebyadoptingtheReynolds-averagedNavier-Stokes(RANS)equationsforthewholefluiddomain.Withtheuseofuserdefinedfunctions(UDF)inFluent,theinteractionbetweenfluidandstructurewasthensimulated.Asareasonablesimplification,theauthorsstudiedtheresponseofasinglecantileverinatankundersloshingloads;Furtherstudyshouldpaymoreattentiontothemechanismsofinteractionbetweensloshingwavesandelasticstructures.
简介:Themostcriticalissueinthesteelcatenaryriserdesignistoevaluatethefatiguedamageinthetouchdownzoneaccurately.Appropriatemodelingoftheriser-soilresistanceinthetouchdownzonecanleadtosignificantcostreductionbyoptimizingdesign.Thispaperpresentsaplasticitymodelthatcanbeappliedtonumericallysimulateriser-soilinteractionandevaluatedynamicresponsesandthefatiguedamageofasteelcatenaryriserinthetouchdownzone.Utilizingthemodel,numerousriser-soilelementsareattachedtothesteelcatenaryriserfiniteelements,inwhicheachsimulateslocalfoundationrestraintalongtherisertouchdownzone.Theriser-soilinteractionplasticitymodelaccountsforthebehaviorwithinanallowablecombinedloadingsurface.Themodelwillberepresentedinthispaper,allowingsimplenumericalimplementation.Moreimportantly,itcanbeincorporatedwithinthestructuralanalysisofasteelcatenaryriserwiththefiniteelementmethod.Theapplicabilityofthemodelisinterpretedtheoreticallyandtheresultsareshownthroughapplicationtoanoffshore8.625″steelcatenaryriserexample.Thefatigueanalysisresultsofthelinerelasticriser-soilmodelarealsoshown.Accordingtothecomparisonresultsofthetwomodels,thefatiguelifeanalysisresultsoftheplasticityframeworkarereasonableandthehorizontaleffectsoftheriser-soilinteractioncanbeincluded.