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简介:Byusingthefundamentalequationsofaxisymmetricshallowshellsofrevolution,thenonlinearbendingofashallowcorrugatedshellwithtaperunderarbitraryloadhasbeeninvestigated.ThenonlinearboundaryvalueproblemofthecorrugatedshellwasreducedtothenonlinearintegralequationsbyusingthemethodofGreen'sfunction.Tosolvetheintegralequations,expansionmethodwasusedtoobtainGreen'sfunction.ThentheintegralequationswerereducedtotheformwithdegeneratecorebyexpandingGreen'sfunctionasseriesofcharacteristicfunction.Therefore,theintegralequationsbecomenonlinearalgebraicequations.Newton'siterativemethodwasutilizedtosolvethenonlinearalgebraicequations.Toguaranteetheconvergenceoftheiterativemethod,deflectionatcenterwastakenascontrolparameter.Correspondingloadswereobtainedbyincreasingdeflectiononebyone.Asanumericalexample,elasticcharacteristicofshallowcorrugatedshellswithsphericaltaperwasstudied.Calculationresultsshowthatcharacteristicofcorrugatedshellschangesremarkably.Thesnappinginstabilitywhichisanalogoustoshallowsphericalshellsoccurswithincreasingloadifthetaperisrelativelylarge.Thesolutionisclosetotheexperimentalresults.
简介:Thispaperanalysesamathematicalmodelofthepatternformationontheshellofmolluscswhichisactuallyakindofreaction-diffusionsystem.TheexistenceanduniquenessofaglobalsmoothsolutionofthissystemwithCauchyproblemanditsstabilityandtimedecayratearestudiedbymeansofanelementaryenergymethod.
简介:BasedonKármán’snonlinearfundamentaldifferentialequations,thenewapproach,whichcombinesmodifiediterationmethodwithGalerkin’sone,hasbeenputforwardtosolvenonlinearbendingofshallowsphericalshellwithconcavebaseandclampededgesonthePasternakfoundationunderuniformloadsinthispaper.Mathematicalexpressionofload-deflectionhasbeengiven;furthermore,resultsobtainedareingoodagreementwithexistentones.
简介:Thispapergivesallthetwo-dimensionalmembranemodelsobtainedfromformalasymptoticanalysisofthethree-dimensionalgeometricallyexactnonlinearmodelofathinelasticshellmadewithaSaintVenant-Kirchhoffmaterial.Therefore,theothermodelscanbequotedasflexuralnonlinearones.Theauthoralsogivestheformalequationssolvedbytheassociatedstresstensorandpointsoutthatonlyoneofthosemodelsleads,bylinearization,tothe“classical”linearlimitingmembranemodel,whosejuetificationhasalreadybeenestablishedbyaconvergencetheorem.
简介:-Thispaperadoptsapproximateformulasforresidualstressescausedbycoldbendingforplateswithstress-straincurveforma=Kn.Atypicaldistributionofthelongitudinalresidualstressduetoweldingisalsoassumed.Theeffectsofresidualstressduetocoldbendingandweldingonplasticbucklingofaxiallycompressedcylindricalshellsarestudiedbythefiniteelementmethod.
简介:IntroductionImportantaplicationsofthestabilityanalysisofshelscanbefoundinthemodernengineringrangingovertheaerospace,marine,ar...
简介:在水下圆柱的壳结构被发现了一许多设计领域里的申请宽例如水兵的元素,给平台上油,等等。联合颤动分析是为这些的一个热问题在水下结构。颤动特征在水下结构不仅被水动力学压力而且由相应于不同的水深度的静水力学的压力影响。在这研究,一个声学的有限元素方法被用来评估在水下结构。以起始的压力僵硬考虑静水力学的压力,听觉的液体结构联合了分析在水下圆柱的壳被做了在自然频率和健全放射上学习水动力学压力的效果。由与频率基于Bessel功能由声学的有限元素方法并且由增加的集体方法获得了作比较,现在的分析的有效性被检查。最后,使硬的圆柱的壳的健全放射的测试样品被泛音获得声学的分析。结果证明静水力学的压力在与水深度决定健全放射变化的一个大沉没身体运动,和特征起一个重要作用。而且,分析方法和结果具有为另外的复杂海底的结构的研究的重要参考价值。
简介:Inthiswork,dynamiccompositeanalysistruncatedsandwichconicalshells(STCS)withdifferentboundaryconditionsunderlowvelocityimpactwasinvestigatedanalytically,accordinghigherordersandwichpaneltheory.ImpactoccurredatthetopfacesheetandthecontactforcehistoryispredictedusingtwosolutionmodelscalculatedapplyingprincipalofHamiltonbyconsideringthedisplacementcontinuityconditionsbetweenthelayers.Forobtainingthedisplacementandcontactforcehistories,thedifferentialquadraturemethod(DQM)isutilised.Inthisinvestigation,theeffectsoflayerlaminanumber,conesemivertexangle,boundaryconditionsandimpactvelocityontheimpactresponsearestudied.
简介:Inthiswork,dynamiccompositeanalysistruncatedsandwichconicalshells(STCS)withdifferentboundaryconditionsunderlowvelocityimpactwasinvestigatedanalytically,accordinghigherordersandwichpaneltheory.ImpactoccurredatthetopfacesheetandthecontactforcehistoryispredictedusingtwosolutionmodelscalculatedapplyingprincipalofHamiltonbyconsideringthedisplacementcontinuityconditionsbetweenthelayers.Forobtainingthedisplacementandcontactforcehistories,thedifferentialquadraturemethod(DQM)isutilised.Inthisinvestigation,theeffectsoflayerlaminanumber,conesemivertexangle,boundaryconditionsandimpactvelocityontheimpactresponsearestudied.
简介:TheDonnelltheoryofshellwasappliedtodescribeshellmotion.Theinnerandoutershellswerestiffenedbytransversecomponents.Usingdeformationharmoniousconditionsoftheinterface,theeffectsofstiffenersweretreatedasreverseforcesandmomentsonthedoublecylindricalshell.Intheacousticfieldproducedbyvibrationandsoundradiationofthedoubleshell,thestructuredynamicequation,Helmholtzequationinthefluidfieldandthecontinuityconditionsofthesurfaceoffluid-structurecomposethevibrationequationcoupledbythesound-fluid-structure.Theextractofacousticpressurecomesdowntotheextractofcouplingvibrationequation.Thenearfieldacousticpressurecanbesolveddirectlybycomplicatedcalculationalmethods.
简介:Thesingle-layerlatticedcylindricalshellisoneofthemostwidelyadoptedspace-framedstructures.Inthispaper,freevibrationpropertiesanddynamicresponsetohorizontalandverticalseismicwavesofsingle-layerlatticedcylindricalshellsareanalyzedbythefiniteclementmethodusingANSYSsoftware.Inthenumericalstudy,wherehundredsofcaseswereanalyzed,theparametersconsideredincludedrise-spanratio,length-spanratio,surfaceloadandmembersectionsize.Moreover,tobetterdefinetheactualbehaviorofsingle-layerlatticedshells,thestudyisfocusedonthedynamicstressresponsetobothaxialforcesandbendingmoments.Basedonthenumericalresults,theeffectsoftheparametersconsideredonthestressesarediscussedandamodifiedseismicforcecoefficientmethodissuggested.Inaddition,someadvicebasedontheserescarchresultsispresentedtohelpinthefuturedesignofsuchstructures.
简介:Agroupoftheoreticalmodelshasbeendevelopedforanalyzingtransientdynamicre-sponsetofilledmetalliccylindricalshellsimpactedbyflat-nosedmissilesatnormalobliquityontheba-sisoftheanalogymodelingmethodofbeam-onfoundation.Itcanbeusedforsolvingtheglobaldefor-mationandthelocalfailureofcylindricalshellsintheimpactprocess.Theballisticlimitspeedandim-pactresponsehistoryhavebeencalculatedbythisgroupoftheoreticalmodels,andtheinnerpressureeffectontheballisticlimitspeedandsomeparametersarediscussedatlength.Thequantitativerela-tionshipbetweeninternalpressureandtheballisticlimitspeedandsomesignificantconclusionshavebeenobtained,whicharebasicallyidenticalwithpreviousexperimentalresults.