粘弹性环及球壳结构力学行为分析与研究

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1、西南交通大学硕士学位论文粘弹性环及球壳结构力学行为分析与研究姓名：杨敏申请学位级别：硕士专业：固体力学指导教师：潘亦苏20070301Inrecantyears，withthedevelopmentofthevoyageandaviationtechnology,theviscoelasticmaterialhasbeenappliedmoreandmorewidelyinengineerin2．nisl(indofmaterialiStime—dependenceandtemperature—depende

2、nce．itwillrelaxandcreepevenatthenormaltemperature，SOitmaybringlargeerrorifoneconductstheanalysisofviscoelasticstructurewiththetheoryofclassicelastici讹Thethomu曲studiesofthemechanicalbehaviorandstabilityofaviscoelasticstructure，whichareallimportantcontentofth

3、eviscoelasticmechanics，haveimportanttheoreticalandapplicablevalue．Confinedbuckingmeansthatthebuckingconfigurationofastructurecannotbeevolvedfreelyduetopresencetheexternalobstacles．T11iskindofproblemhasmanyapplicationsinindustry,whiletheresearchpapersaboutth

4、econfinedbucklingofviscoelasticstructuresareseldomseen．thisPap％BasedonBoltzmann’Sviscoelasticmodelandassumedthesystemiselasticityatbeginning，asystemofpre—stresseddouble一一ngs，asystemofpre-stresseddouble-boilsandasystemoftpre．．stresseddouble．．ringsunderthesta

5、teofconstanttemperaturedispersionareanalyzed．Thesolutionoftheproblemisobtainedanalytically．Theviscoelasticeffects，suchasere印andrelaxationareinvestigated．111etimeevolutionrulesofdisplacementandpre．stressedloadarcalSOdiscussed．Theinfluencesofthegeometriealsiz

6、esandthematerialparametersonthesteadYvaluesofdisplacementandpre-stress10adofthesystemstateareanalyzed．Finally．theproblemisexpandedtothesinglelayerviscoelasticsystemwiththerigidrestriction．Besides，basedonBoltzmann’sviseoelasticmodelandassumptionoftheelastici

7、tyfortheinitialstructure．thecfiticalbuckinglOadandthestabilityofthesolutionareinvestigatedbyuseofassumingmodemethod，Galerkinmethodandnumericalcomputation．ThesystemoftheconfinedbuckingmodeofaviscoelasticringiSdeveloped．ItiSfoundthatnotonlyinstantaneouscritic

8、loadexists．butalSOadurablecriticloadforthebuckingofviscoelasticringingunderuniformpressure．Whileonlydoes趾instantaneouscritic10adexistsfortheconfinedbuckingmodeofaviscoelasticringwhenthetemperaturediffe