一种具有宽频效应的声学超构材料
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摘要
通过周期性排布具有不同谐振频率的亥姆霍兹共振器,构建了一种宽频带负体弹模量的声学超构材料.首先基于局域共振理论和有效媒质理论,阐述了负有效体弹模量产生的机理并给出了理论表达式,然后利用有限元仿真得到了该超构材料的透反射系数,并用提取参数法计算了有效体弹模量.结果表明,设计的超构材料在673~1 245 Hz的宽频范围内实现了负有效体弹模量.这种设计思路为构建宽频带负声学参数超构材料提供了一种新途径.
A kind of broadband negative effective modulus acoustic metamaterials(AM)is fabricated by periodically arraying Helmholtz resonators with different resonance frequencies.At first,based on the concepts of local resonance and homogeneous medium,the formation mechanism of negative effective modulus is illustrated and the theoretical expression is given.Then,the transmission coefficients and the reflection coefficients are simulated by using COMSOL multiphysics,and the modulus of the AM can be obtained via extraction method.The simulation results show that the effective modulus of the designed AM is negative from 673 to 1245Hz.We expect that the proposed AM will significantly contribute to the design of broadband negative parameter AM.
A kind of broadband negative effective modulus acoustic metamaterials(AM)is fabricated by periodically arraying Helmholtz resonators with different resonance frequencies.At first,based on the concepts of local resonance and homogeneous medium,the formation mechanism of negative effective modulus is illustrated and the theoretical expression is given.Then,the transmission coefficients and the reflection coefficients are simulated by using COMSOL multiphysics,and the modulus of the AM can be obtained via extraction method.The simulation results show that the effective modulus of the designed AM is negative from 673 to 1245Hz.We expect that the proposed AM will significantly contribute to the design of broadband negative parameter AM.
引文
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[2]SHELBY R A,SMITH D R,SCHULTZ S.Experimental verification of a negative index of refraction[J].Science,2001,292:77-79.
[3]LIU Z Y,ZHANG X X,MAO Y W,et al.Locally resonant sonic materials[J].Science,2000,289:1734-1736.
[4]FANG N,XI D J,XU J Y,et al.Ultrasonic metamaterials with negative modulus[J].Nature Materials,2006,5:452-456.
[5]BONGARD F,LISSEK H,MOSIG J R.Acoustic transmission line metamaterial with negative/zero/positive refractive index[J].Physical Review B,2010,82:094306(1-11).
[6]ZHANG S,YIN L L,FANG N.Focusing ultrasound with an acoustic metamaterial network[J].Physical Review Letters,2009,102:194301(1-4).
[7]MEI J,MA G,YANG M,et al.Dark acoustic metamaterials as super absorbers for low-frequency sound[J].Nature Communications,2012,3:756-760.
[8]LI J,FOK L,YIN X,et al.Experimental demonstration of an acoustic magnifying hyperlens[J].Nature Materials,2009,8:931-934.
[9]POPA B I,ZIGONEANU L,CUMMER S A.Experimental acoustic ground cloak in air[J].Physical Review Letters,2011,106:253901(1-4).
[11]SETNGER N,WILHELM M,WEGENER M.Experiments on elastic cloaking in thin plates[J].Physical Review Letters,2012,108:014301(1-5).
[12]ZIGONEANU L,POPA B,CUMMER S A.Threedimensional broadband omnidirectional acoustic ground cloak[J].Nature Materials,2014,13:352-355.
[13]ZHANG P,LI T,ZHU J,et al.Generation of acoustic self-bending and bottle beams by phase engineering[J].Nature Communications,2014,5:4316(1-8).
[14]YANG M,MA G,YANG Z,et al.Coupled membranes with doubly negative mass density and bulk modulus[J].Physical Review Letters,2013,110:134301(1-5).
[15]LEROY V,BRETAGNE A,FINK M,et al.Design and characterization of bubble phononic crystals[J].Applied Physics Letters,2009,95:171904(1-3).
[16]DING Y,LIU Z,QIU C,et al.Metamaterial with simultaneously negative bulk modulus and mass density[J].Physical Review Letters,2007,99:093904(1-4).
[17]FOKIN V,AMBATI M,SUN C,et al.Method for retrieving effective properties of locally resonant acoustic metamaterials[J].Physical Review B,2007,76:144302(1-5).