功能梯度壓電材料矩形板熱-電-機械耦合三維分析.pdf

1、合肥工業(yè)大學碩士學位論文功能梯度壓電材料矩形板熱電機械耦合三維分析姓名：柳彬彬申請學位級別：碩士專業(yè)：工程力學指導教師：方詩圣20071101ThreeDimensionalAnalysisOfTheroMeehanicalElectricBehaviourOfFunctionallyGradientPiezoelectricMaterialRectangularPlateAbstractInrecentyears，thestudyon

2、thebehaviorofstructuralmechanicsoffunctionalgradedpiezomaterial(FGPM)isdevelopedgreatlyInthispaper，weemploythestatevariablemethodforthree—dimensionanalysisofafunctionallygradientpiezomaterialplatethatissimplysupportedalo

3、ngitsfouredgesByintroducingtwodisplacementfunctionsandtwostressfunctionsandreplacetheformerdisplacementandstress，twoindependentstateequationsareconstructedbasedonthethreedimensionalpiezoelasticityequationsfortransverseis

4、otropyTheoriginaldifferentialequationsarethusdecoupledwiththeorderreducedthatwillinducethestateequationsandtransmissionmatrixoffunctionallygradientthermoelectricityplatethatissimplysupportedalongitsfouredgesDuetotheinhom

5、ogeneityoffunctionallygradientpiezomaterial(FCPM)，thestateequationhasthephysicalperformance，whichwillinducethelaminatemodelforlaminateapproximationinthispaperandobtaintheanalyticalsolutionsofsimplysupportedtransverseisot

6、ropiefunctionallygradientpiezoelectricrectangularplateunderarbitrarymechanical，electricandthermalloadingonthetopandbottomsurfacesTheMathematicasoftwareisusedtocompiletherelevantcalculationprogramsandtheexamplesaregiven，t

7、hecalculatedresultsaresamewiththatgivenintheformerliterature，Assumingthatthepropertiesofmaterials，suchasthemechanics，eletrologythermologyhavethreedifferentgradientmodelswhicharepolynomialfunction，exponentfunctionandsinus

8、oidalfunctionrespectivelybasedonthetheoriesofthreeDimensionalelasticityandpiezoelectricityequations，discusstheeffectofdifferentialgradientmodeldistributiononthefieldvariablesoffunctionalgradientpiezoplate；meanwhile，discu