热电场作用下压电粘弹性微梁的非线性静动力学-分析

《热电场作用下压电粘弹性微梁的非线性静动力学-分析》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

1、硕士学位论文AbstractBeam-typemicrostructuresarethemainMEMSstructures．Theyareusedwidelyinmicrosensors，microactuatorsandothermicro-componentsfortheirsimpleformsandexcellentcontrollability．Thepiezoelectricmicrobeamsconsistofbeam-typemicrostructuresandpiezoelectriclayersandtheirpiezoelectriclaye

2、rscaneffectivelyimprovethesensitivityofmicrosensorsandefficiencyofthemicroactuators．Inthisdissertation，consideringviscoelasticityofmaterialinbeam—typemicrostructures，piezoelectriceffectofmaterialinpiezoelectriclayersandthegeometrynonlinearityofwholemicrostructure，thenonlinearstaticandd

3、ynamicbehaviorofpiezoelectricviscoelasticmicrobeamunderthermal-electriccouplefieldisinvestigated．Themainresearchworksareasfollows：Firstly，basedonviscoelastictheory，Euler-Bernoullibeamassumptionsandpiezoelectrictheory，thestaticanddynamicdifferentialgoverningequationsareestablishedwithth

4、estandardsolidmodel．Thestaticpull-inbehaviorofmicrobeamisresearchedwithGarlerkinmethodandRunge—Kuttamethod．Thecriticalconditionofpull--ininstabilityisinvestigatedandtheinfluenceofmaterialparametersandsystemparametersoncriticalconditionisanalyzed．Furthermore，consideringgeometrynonlinear

5、ityandcoupleeffectofthermal—electricfield，theamplitude-frequencyresponsecharacteristicsofpiezoelectricviscoelasticmicrobeaminfreevibrationandforcedvibrationareinvestigatedwiththeharmonicbalancemethod．Theeffectofrelaxationmodulusonresponsecharacteristicsisfirstlydiscussed．Theresultshows

6、thatthechangeofrelaxationmodulusleadstofluctuationofamplitude—frequencyresponsewithinashortdurationandthetermdecayingwithtimecanbeignoredinsteadyvibration．Basedonanalyticresultaboutrelaxationmodulus，theinfluencesofthedampingcoefficient，voltageamplitudeandotherparametersonamplitude—freq

7、uencycharacteristiccurveofmicrobeaminfreevibrationandforcedvibrationareinvestigated．Finally，asaclamped-guidedmicrobeamunderaxialperiodloadmayencounterdynamicinstability，thestudyonnonlineardynamicstabilityoftheclamped-guidedpiezoelectricviscoelasticmicrobeamunderaxialperiodloadandther