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改良的Vlasov基础模型弹性地基梁.pdf

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TheModifiedVlasovFoundation Model:AnAttractiveApproachfor BeamsRestingonElasticSupports Iancu-BogdanTeodoruandVasileMuşat GheorgheAsachiTechnicalUniversityofIaşi,FacultyofCivilEngineeringand BuildingServices,DepartmentofTransportationInfrastructureandFoundations 43DimitrieMangeronBlvd.,700050,Iaşi,Romania email:bteodoru@ce.tuiasi.ro ABSTRACT ThispaperisintendedtogiveaunifiedframeworkandtoapplythemodifiedVlasovfoundation modeltostaticanalysisofbeamsrestingonelasticfoundationwhoseconceptiswidely encounteredinengineeringpractice.Inthedesignofsuchstructures,todescribethefoundation responsetoappliedloads,themechanicalmodelofWinklerisoftenused,foralmostoneandahalf century.However,ithassomeshortcomings,mainlybecauseitassumesnointeractionbetweenthe adjacentspringsandthusneglectstheverticalshearingstressthatoccurswithinsubgradematerials. Inthispaper,theVlasovapproach,appliedtostaticanalysisofbeamsrestingonelastic foundations,ispresentedasanalternativetotheclassicalWinklermodel.Thisidealization providesmuchmoreinformationonthestressanddeformationwithinsoilmasscomparedtothe well-knownWinklermodel,andithastheimportantadvantageofeliminatingthenecessityof arbitrarilydeterminingthevaluesofthefoundationparameters.Anumericalinvestigationon applyingtheVlasovapproachtothestaticanalysisofbeamsrestingonelasticsupportsisalso presented.Thesolutionsofsampleproblems,obtainedbyusingtheVlasovmodel,arecompared withresultsobtainedonmorecomplexnumericalmodels. KEYWORDS:Beams,Vlasovelasticfoundations,finiteelementmethod,structural analysis,foundationanalysis INTRODUCTION Incommonengineeringpractice,thestaticanalysisanddesignofbeamsonelasticfoundationis developedontheassumptionthatthereactionforcesofthefoundationareproportionalateverypoint tothedeflectionofthebeamatthatpoint.Theverticaldeformationcharacteristicsofthefoundation aredefinedbymeansofidentical,independent,closelyspaced,discreteandlinearlyelasticsprings. Theconstantofproportionalityofthesespringsisknownassubgradereactioncoeffic