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1、TheModifiedVlasovFoundationModel:AnAttractiveApproachforBeamsRestingonElasticSupportsIancu-BogdanTeodoruandVasileMuşatGheorgheAsachiTechnicalUniversityofIaşi,FacultyofCivilEngineeringandBuildingServices,DepartmentofTransportationInfrastructureandFoundations43DimitrieMa
2、ngeronBlvd.,700050,Iaşi,Romaniaemail:bteodoru@ce.tuiasi.roABSTRACTThispaperisintendedtogiveaunifiedframeworkandtoapplythemodifiedVlasovfoundationmodeltostaticanalysisofbeamsrestingonelasticfoundationwhoseconceptiswidelyencounteredinengineeringpractice.Inthedesignofsuch
3、structures,todescribethefoundationresponsetoappliedloads,themechanicalmodelofWinklerisoftenused,foralmostoneandahalfcentury.However,ithassomeshortcomings,mainlybecauseitassumesnointeractionbetweentheadjacentspringsandthusneglectstheverticalshearingstressthatoccurswithi
4、nsubgradematerials.Inthispaper,theVlasovapproach,appliedtostaticanalysisofbeamsrestingonelasticfoundations,ispresentedasanalternativetotheclassicalWinklermodel.Thisidealizationprovidesmuchmoreinformationonthestressanddeformationwithinsoilmasscomparedtothewell-knownWink
5、lermodel,andithastheimportantadvantageofeliminatingthenecessityofarbitrarilydeterminingthevaluesofthefoundationparameters.AnumericalinvestigationonapplyingtheVlasovapproachtothestaticanalysisofbeamsrestingonelasticsupportsisalsopresented.Thesolutionsofsampleproblems,ob
6、tainedbyusingtheVlasovmodel,arecomparedwithresultsobtainedonmorecomplexnumericalmodels.KEYWORDS:Beams,Vlasovelasticfoundations,finiteelementmethod,structuralanalysis,foundationanalysisINTRODUCTIONIncommonengineeringpractice,thestaticanalysisanddesignofbeamsonelasticfou
7、ndationisdevelopedontheassumptionthatthereactionforcesofthefoundationareproportionalateverypointtothedeflectionofthebeamatthatpoint.Theverticaldeformationcharacteristicsofthefoundationaredefinedbymeansofidentical,independent,closelyspaced,discreteandlinearlyelasticspri
8、ngs.Theconstantofproportionalityofthesespringsisknownassubgradereactioncoefficient,ks.Thissimpleandrelativelycrudemec
