前屈曲耦合變形對功能梯度板穩(wěn)定性的影響.pdf

1、蘭州理工大學(xué)碩士學(xué)位論文前屈曲耦合變形對功能梯度板穩(wěn)定性的影響姓名：楊帆申請學(xué)位級別：碩士專業(yè)：工程力學(xué)指導(dǎo)教師：馬連生20090601前屈曲耦合變形對功能梯度板穩(wěn)定性的影響AbstractFunctjonallygradedmaterial(FGM)isakindofcompositematerialsthataremicfoscopicallyinhomogeneous，takingadVantageofthemeritsofcon

2、stituentmaterialsadequatelyBygraduallyVafyingtheVolumeftactionoftheconstituentmaterials，F(xiàn)GMpossessesthegradientinpropertieseliminatesthemismatchofmechanicalpropertiesinducedbytheinterfaceSo，F(xiàn)GMcanbeappliedinVafiousspecia

3、lenVironmentsandcanbearcomplexIoadsMoreimportantly，wecanusematerialswithdifferentcapabilitycomposenewtypematerialaccordingtoourdesire，thatwillbringmaterialdesignintohigherleVelsFGMhaVemanyadVantageswhichhomogeneousmateri

4、alandcompositematerialsdonothaVeInthecase0ffllnctionallygradedplatesthesubjectisparticularlycomplicatedforbendjngandstretchingarecoupledInmanyofthesecases，bifllrcationbucklingisimpossible；thatis，transversedenectionisinit

5、iated，regardIessofthemagnitudeoftheloadingBasedontheclassicalnonlinearplatetheory，stabilityofafunctionallygradedcirculafplateunderuniformradialcompressionorthermalloadwithallowanceforpre—bucklingdeformationwasinVestigate

6、dandpointedamethodtoidentifywhentruebifurcationbucklingcanoccurThegoVerningequationswerederiVed，andthenashootingmethodwasemployedtonume以callysolVetheresulteddifferentjalequationsThisstudyshowstheimportantinfluencesofincl

7、udingthepre—bucklingdeformationontheplatestabilityThemaincontentsareasfollowing：1WebrienyintroducedthebasicprincipIe，definitionanddeVelopmentaswellasresearchstatusofFGMAtthesametime，numericalsolutionusedinthispapernameds

8、hootingmethodwassimplyjntroduced2Wealsointroducedcouplingmechanism，stabilitytheoryandplatetheory3BasedonthecIassicalnonlinearplatetheory，thenonlineargoVerningequationsandboundaryconditionsaswellasinitialcondtionswerederi

9、VedStabilityofafunctjonallygradedcirculafplateunderunif6rmfadialcompressjonorthermalloadwithallowanceforprebucklingdeformationwasinVestigatedThemainconditionsareasfollowing：(1)Stabilityofasimplysupportedorclampedfllnctio