蜂窝材料禁带特性研究及其应用

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1、西北工业大学博士学位论文（学位研究生）题目：蜂窝材料禁带特性研究及其应用作者：朱志韦学科专业：力学指导教师：许金余教授2017年3月本研究得到国家自然科学基金（编号11372252）资助Title:AnalysisonBandGapsofHoneycombMaterialsandTheirApplicationsByZhuZhi-WeiUndertheSupervisionofProfessorXuJin-YuADissertationSubmittedtoNorthwesternPolytechnicalUniversityInpartialfulfillmentofther

2、equirementForthedegreeofDoctorofMechanicsXi’an,P.R.ChinaMarch2017ThisworkissupportedbytheNationalNaturalScienceFoundationofChina(GrantNO.11372252).西北工业大学博士学位论文control.(2)Inthischapter,specialattentionisdevotedtotheinfluenceofvariationsinducedthroughthealterationofmechanicalpropertiesoflocalp

3、artsofsheetsorlatticegeometryontheelasticwavepropagationinSSRHs.BandstructuresofthesetwotypesofmodifiedhoneycombsarealsocalculatedbymeansofthefiniteelementtechnologyinconjunctionwithBloch'stheorem.Interiorlyresonantbandgaps,relatedcloselytotheflatpropagationmodesandtherotationalmodes,arepres

4、entinbothalteredconfigurations.Furthermore,heuristicmodels,proposedaccordingtothedeformationcharacteristicsoftheresonantmodes,provideapreciseestimationtotheinteriorlyresonantbandgapinvolvingitspositionandextent,thusofferingarationalanalysistoassessthebandgaptunability.Thispredictablerobustne

5、ssoftheheuristicmodelsfortheinteriorlyresonantbandgapssuggeststhepotentialofSSRHasahoststructureintheactivecontroltothepropagationofelasticwaves.(3)Beam-typeperiodicmaterialswithhighconnectivityhavedisplayeduniquebandgapbehaviorsanalogoustolocallyresonantbandgapsinacousticmetamaterials.Inthi

6、schapter,SSRHisintroducedtobethehoststructureofasmartmaterialtotailortheelasticwavepropagation.Finitelengthpiezoelectricpatchesconnectedwithnegativecapacitanceshuntingcircuitsarearrangedonthebeamsurfaces,providingactiveadjustmentviaalteringtheparametersofshuntingcircuits.Resultsdemonstrateth

7、atthevariationofinternallyresonantbandgapsinducedbythealterationofthepiezoelectricpatchestothosepositionsandmechanicalproperties,canbepreciselyestimatedbysimpleheuristicmodelsproposedaccordingtodeformationcharacteristicsofstandingwavemodes.Thisfoun