多場耦合電磁彈性體的基本理論與計算方法研究.pdf

1、合肥工業(yè)大學(xué)博士學(xué)位論文多場耦合電磁彈性體的基本理論與計算方法研究姓名：曲磊申請學(xué)位級別：博士專業(yè)：工程力學(xué)指導(dǎo)教師：王建國201106ABSTRACTPiezoelectirc、piezomagicmaterialswhichareusedassensactuatintegratingwithstructurefmaintelligentmaterialsystemwhichcanalsobecalledpiezoelectricpi

2、ezomagiccompositematerialssystem.Theprimarywkftheresearchinthiskindofintelligentstructuresistoestablishanalyticalmodelwhichcanaccuratelyindicatetheinteractionbetweenpiezoelectricpiezomagicsensactuatbodystructure.Thismode

3、lisnotonlyabletoexhibittheinternalofmagoelectroelasticitycouplinginteractioninpiezoelectric、piezomagicintelligentstructurefromtheglobalaspectbutalsoeasytoanalyzecalculatewithnecessarymathematicaltools.Ageneralvariational

4、principleofmagoelectroelasticcompositestructuresisdiscussedwhichcontainsstressstraindisplacementelectricdisplacementelectricfieldelectricpotentialmagicdisplacementmagicfieldmagicpotentialastheindependentlyassumedfieldvar

5、iables.Thestationaryconditionsofthefunctionalareequivalenttoallgoverningequationsboundaryconditionsinmagoelectroelasticcompositestructures.Eightdegeneratedvariationalprinciplesofmagoelectroelasticcompositestructuresarepr

6、esentedwhicharededucedfromthegeneralvariationalprinciple.Inthispaperstatevariablefmulationffreevibrationofthelaminatedstructuresbondedembeddedactuatssenss(piezoelectricpiezomagic)isestablished.Thepresentmixedtypefmulatio

7、nhasthegreatadvantagethatthesizeofthesystemtobesolvedisindependentofthenumberoflayersisofderthreeffreevibrationofthelaminatewithbondedembeddedpiezoelectricpiezomagiclayers.Analyticalsolutionsof3Dfreevibrationofsimplysupp

8、tedpiezoelectricpiezomagiccompositeplateshavebeenpresented.Thetransfermatricesfeitherclosedcircuitopencircuitpiezoelectricpiezomagiclayersarederived.Thespecialcaseofelasticlayerisalsotreated.Theassemblyprocedureisdescrib

9、edfthedifferentelectricmagicsurfaceconditions.Numericalexamplesareanalyzedtostudythevibrationacteristicsofsmartlaminateplateswithdifferentstackingsequencedifferentspantothicknessratio.Thefiniteelementequationsarederivedb

10、yapplicationofHamiltonprinciplebasedontheclassicelectroelasticthey.BasedontheseequationsmechanicalelectriccoupledprogramhasbeendevelopedbyuseofANSYSAPDLlanguage.Basedontheanalysisofadegradedmodelweresearchedtheinfluencef