水声吸声超材料拓扑优化设计

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Abstract：Toddresteulectiereetsfdoacosticabsoptmetaatealsussityiis high-eficiencoudbsotion’opotiationframeokbsdoteaseratiosforfudtructuretectioisoed toachieveon-demandinverseesignofthemetamaterialstructures.Amathematicalmodelofthemetamaterialstructuredas‘rubbermetastructureubr’istablisdWitisodeltemetastructueostsofprodcallagdstopiccosualis Basedntheeectiparametesobaediateymptoticomogenatimethod，atasferatrixelatioshiisostructedoalye thepropagtionchracteristsoflasticaesitinteetamateal，ndatoreticalmethodfoalulatingtecosticefocf themetamateralisevelopdbyombigteflud-tructueouligelatiosis.Atoplogicaloptizationframeokisosttedfor structuraldesiWigodbsostotiatietieaatisdrc theconstraints，someoptiizedmicrostructureswithacousticperformancethatmtterequirementsoflowdensityandhighstifnssare achieved.Theanalysisoftheoptimizationresultsrevealsthateficientacousticperformancestemsfromthemanipulationofincident longitudinalwavsbythemetastructurelayer，andthroughitsregulation，trasversewavescanbefoedintheubberlayersonbotides. Basedontheghlosscapabilityofrubbermaterialsfortransversewaves，significantabsotionofacousticeergisaevedultiately leadingtoefeiesuppessooffletioTisseachprestsaacuateadeientteticaletofoangdcstic absorptionmetamatealslongwithneectivetologyoptizatioframeorkfoapidinversedsignofmetamateralsisapoach offers a promising solution to resolveconflicting requirements in the engineering application of metamaterials.

Keyords：hydroacousticmetamaterials;owfrequncyandbroadbandsoundabsoptiontransferequationsforfluid-tructureinteactio; topology optimization

近年来超材料发展迅速，作为一种通过人工巧妙设计的微结构复合材料，其包括声学超材料、力学超材料[2]、光学超材料[3]等范畴，可实现负折射[4]超隐身[5]、传播调控[、极端可调各向异性[7]、波模调控[8-10]等超常物理特性，突破了天然材料固有的物理限制，能够按需调控物质与场（声场、力场等）的相互作用。（剩余20163字）