智能组合梁two finite elements for general composite beams with piezoelectric actuators and sensors

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1、ARTICLEINPRESSFiniteElementsinAnalysisandDesign()--ContentslistsavailableatScienceDirectFiniteElementsinAnalysisandDesignjournalhomepage:www.elsevier.com/locate/finelTwofiniteelementsforgeneralcompositebeamswithpiezoelectricactuatorsandsensorsMariaAug

2、ustaNetoa,∗,WenbinYub,SitikanthaRoybaDepartmentofMechanicalEngineering,CoimbraUniversity,3020Coimbra,PortugalbDepartmentofMechanicalandAerospaceEngineering,UtahStateUniversity,Logan,UT30332-4130,USAARTICLEINFOABSTRACTArticlehistory:Twofiniteelementsfo

3、rthestaticanalysisofsmartbeamswithpiezoelectricsensors/actuatorsarepre-Received21January2008sented:adhocsmartbeamelement(ADSBE)andvariationalasymptoticsmartbeamelement(VASBE).Receivedinrevisedform6October2008Bothelementsrelyonthecomputationofthecross-

4、sectionalmatricesassociatedwiththeelectrome-Accepted13October2008chanicalpropertiesofthebeamcross-section.ADSBEusestheTimoshenkocross-sectionalstiffnessmatrixcomputedbytheVABSprogram,andtheelectricfieldisassumedconstantacrossthethicknessKeywords:ofeac

5、hpiezoelectriclayer.Takingadvantageofthecross-sectiondiscretizationofthebeam,alltheSmartbeamsVariationalasymptoticalmethodmatricesrelatedtotheelectricfieldarealsocomputedbyperforminganumericalintegrationusingFiniteelementmethodtheVABSprogramthatwasext

6、endedtoaccountforthesenewquantities.VASBEisbasedonthefullyVABScoupledTimoshenkotheoryforsmartbeamsconstructedusingthevariationalasymptoticmethod.Thistheorydecouplestheoriginalthree-dimensionalelectromechanicalproblemtoatwo-dimensionalelec-tromechanica

7、lcross-sectionalanalysisandaone-dimensionalbeamanalysis.Thecross-sectionalanalysisprovidesaone-dimensionalconstitutivemodelforthebeamanalysiswithoutaprioriassumptionsregardingthegeometryofthecross-section,theelectricfielddistribution,andthelocationofs

8、martmaterials.Severalexamplesavailableintheliteratureareusedtovalidatetheaccuracyofthesetwonewelements.ThenumericalresultsobtainedusingADSBEandVASBEcorrelatedwellwithotherpublishedresults.Forstructuresthatareoutofthelimitsinwhichonestructurema