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1、http://www.paper.edu.cnTheoreticalandexperimentalstudyontwo-dimensionalbinarylocallyresonantphononiccrystalsGangWang,JihongWen,YaozongLiu,andXisenWenInstituteofMechatronicalEngineeringNationalUniversityofDefenseTechnologyChangsha,China410073wangg@nudt.edu.cnAb
2、stractThetheoreticalpredictionofalocallyresonantbandgapintwo-dimensionalbinaryphononiccrystalsisverifiedexperimentally.Numericalsimulationsshowthatthein-planesubfrequencygapexistsinthethinplateofphononiccrystalismuchwiderthanthatinthebulkofphononiccrystal.Theo
3、reticalanalysisshowsthatthisisduetothedifferentpureshearing/compressingmoduleratiosinthethinplateandthebulk.Thebandgapedgesaswellasthemid-gapattenuationsoffinitesamplesarestudiedwithdifferentfillingfractions,elasticparametersanddensitiesofhostmedium.Vibratione
4、xperimentsareconductedwithtwothinplatesoftwo-dimensionalbinarylocallyresonantphononiccrystal,whicharewithandwithoutholesrespectively.Themeasuredsubfrequencygapsareingoodagreementwiththetheoreticalpredictions.Keywords:Phononiccrystal;Vibrationbandgap;Locallyres
5、onant1IntroductionThepropagationofelasticoracousticwaveinperiodicheterogeneousmaterialshasreceived[1-13]muchrenewedattentioninthelastdecade.Insuchmaterials,thereexistfrequencyrangesinwhichwavesareforbidden,whicharecalledthephononicbandgaps.Thesematerialshavebe
6、en[14,15]namedphononiccrystals(PCs)whichareanalogoustothephotoniccrystals.Duringthelastfive[1,6-9]years,locallyresonant(LR)PCs,anovelkindofPCs,havedrawnmuchattention.Thiskindofmaterialsarecharacterizedbybandgapsinfrequencyrangemuchlowerthanthatresultingfromthe
7、1http://www.paper.edu.cnBraggscatteringmechanism,sotheyaremuchmorelikelytoobtainthelow-frequencygapswith[1,6-9]structuresofsmalldimensions,andtogetpromisingapplicationssuchaslow-frequencyvibrationornoiseinsulations.[10,11]Thelumped-mass(LM)methodisproposedrece
8、ntlyasanewwaytocomputethebandstructureoftwo-dimensional(2D)PCswithhighcontrastofelasticconstant.TheideaoftheLMmethodissimilarwiththatofthefiniteelementone,i.e.thediscretizationofth
