弹性半空间地基上四边自由预应力中厚矩形板的动力响应分析

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1、上海交通大学硕士学位论文摘要DYNAMICRESPONSEOFINITIALLYSTRESSEDREISSNER-MINDLINPLATESWITHFREEEDGESRESTINGONELASTICHALF-SPACEFOUNDATIONSABSTRACTThispaperdealswiththedynamicresponseofamoderatelythickrectangularplatewithfourfreeedgesrestingonanelasticfoundationinthefirstpart,followed

2、bythesametypeofplaterestingonatensionlessfoundation.Thefoundationisregardedasathreedimensionalelastichalf-spaceentitywhileitsweakeningdeformationisconsidered.Themechanicalloadsconsistoftransversepartiallydistributedimpulsiveloadsandin-planestaticedgeloadswhilethetem

3、peraturefieldisassumedtoexhibitalinearvariationthroughthethicknessoftheplate.Thetwocasesofinitiallycompressedplatesandofinitiallyheatedplatesareconsidered.TheformulationsarebasedonReissner-Mindlinfirstordersheardeformationplatetheoryandincludetheplate-foundationinte

4、ractionandthermaleffects.AsetofmathematicallycompleteIII上海交通大学硕士学位论文摘要two-dimensionalpolynomialsisusedasadmissibledisplacementfunctionsandthepb2-RitzmethodinconjunctionwithNewmarkprocedureareemployedtodeterminedeflection-timeandbendingmoment-timecurves.Asistotension

5、lessfoundation,thecontactsurfaceisassumedunbondedandfrictionless.Aniterativeschemeisdevelopedtoobtainnumericalresultswithoutusinganyassumptionontheshapemodecurves.Severaltestproblemsareexaminedtodemonstratetheaccuracyandeffectivenessoftheproposedmethod.Theeffectsofp

6、lategeometricparameters,loadingparametersandinitialmembranestressaswellasthermalbendingstressonthedynamicresponseoftheplatearestudied.Thenumericalillustrationsconcernmoderlatelythickplateswithfourfreeedgesrestingontensionlesselastichalf-spacefoundations,fromwhichres

7、ultsforconventionalelasticfoundationsareobtainedascomparators.Theresultsconfirmthattheplatewillhavestrongdynamicbehaviorthanitscounterpartwhenitissupportedbyatensionlesselasticfoundation.KEYWORDS：Reissner-Mindlinplatewithfreeedges,Elastichalf-spacefoundation,Tension

8、lesselastichalf-spacefoundation,DynamicresponseIV上海交通大学学位论文原创性声明本人郑重声明：所呈交的学位论文，是本人在导师的指导下，独立进行研究工作所取得的成果。除文中已经注明引用的内容外，本论文不包含任何其他个人或集体已经发