晶格常数对声学超材料板隔声特性的影响研究
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摘要
基于有限元法研究含柱状局域共振单元的声学超材料板的隔声特性,探究多种结构设计方案下晶格常数对其隔声特性的影响。首先分析不限定附加共振单元质量情况下,晶格常数对隔声特性的影响,分析发现随着晶格常数变大,共振单元影响不断变小最后与均质板隔声曲线吻合。其次分析限定附加共振单元质量比100%前提下晶格常数的影响,分为固定或变化柱状局域共振单元半径两种情况讨论。固定半径的情况下,晶格常数取较小值取得隔声效果较好。变化半径的情况下,晶格常数不宜取得过大或过小,而应该取适中值。
We use finite element method to investigate the influence of lattice constant on sound insulation properties of acoustic metamterial plates constructed by periodically depositing two-layer cylindrical stubs on the surface of a thin homogeneous plate. In this investigation we present several structure design schemes. First scheme is that the mass ratio of resonators to the plate is not limited. Numerical results show that the effect of the resonators become less obvious along with the decrease of lattice constant. The second scheme is that the mass ratio of resonators to plate limited to 100%.When the radius of stubs is fixed, the smaller the lattice constant the better sound insulation properties. When the radius of stubs change with lattice constant, the lattice constant should be neither too large or too small to realize broadband sound insulation performance.
We use finite element method to investigate the influence of lattice constant on sound insulation properties of acoustic metamterial plates constructed by periodically depositing two-layer cylindrical stubs on the surface of a thin homogeneous plate. In this investigation we present several structure design schemes. First scheme is that the mass ratio of resonators to the plate is not limited. Numerical results show that the effect of the resonators become less obvious along with the decrease of lattice constant. The second scheme is that the mass ratio of resonators to plate limited to 100%.When the radius of stubs is fixed, the smaller the lattice constant the better sound insulation properties. When the radius of stubs change with lattice constant, the lattice constant should be neither too large or too small to realize broadband sound insulation performance.
引文
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[3]XIAO Y,WEN J,WEN X.Flexural wave band gaps in locally resonant thin plates with periodically attached spring-mass resonators[J].Journal of Physics D:Applied Physics,2012,45(19):195401.
[4]XIAO Y,WEN J,WEN X.Sound transmission loss of metamaterial-based thin plates with multiple subwavelength arrays of attached resonators[J].Journal of Sound and Vibration,2012,331(25):5408-5423.
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[6]HSU J C.Local resonances-induced low-frequency band gaps in two-dimensional phononic crystal slabs with periodic stepped resonators[J].Journal of Physics D:Applied Physics,2011,44(5):55401.
[7]HSU J C,WU T T,HSU H S.Measurement of frequency gaps and waveguiding in phononic plates with periodic stepped cylinders using pulsed laser generated ultrasound[J].Journal of Applied Physics,2013,113(8):83511.
[8]OUDICH M,SENESI M,ASSOUAR M B,et al.Experimental evidence of locally resonant sonic band gap in two-dimensional phononic stubbed plates[J].Physical Review B,2011,84(16):165136.
[9]ASSOUAR M B,OUDICH M.Enlargement of a locally resonant sonic band gap by using double-sides stubbed phononic plates[J].Applied Physics Letters,2012,100(12):123506.
[10]ASSOUAR M B,SENESI M,OUDICH M,et al.Broadband plate-type acoustic metamaterial for lowfrequency sound attenuation[J].Applied Physics Letters,2012,101(17):173505.
[11]WANG P,CHEN T,YU K,et al.Lamb wave band gaps in a double-sided phononic plate[J].Journal of Applied Physics,2013,113(5):53506-53509.
[12]WANG X,JIANG P,CHEN T,et al.Tuning characteristic of band gap and waveguide in a multi-stub locally resonant phononic crystal plate[J].AIP Advances,2015,5(10):107141.
[13]ZHAO H,GUO H,GAO M,et al.Vibration band gaps in double-vibrator pillared phononic crystal plate[J].Journal of Applied Physics,2016,119(1):14903.
[14]ASSOUAR B,OUDICH M,ZHOU X.Acoustic metamaterials for sound mitigation[J].Comptes Rendus Physique,2016,17(5):524-532.
[2]温熙森,温激鸿,郁殿龙.声子晶体[M].北京:国防工业出版社,2009.
[3]XIAO Y,WEN J,WEN X.Flexural wave band gaps in locally resonant thin plates with periodically attached spring-mass resonators[J].Journal of Physics D:Applied Physics,2012,45(19):195401.
[4]XIAO Y,WEN J,WEN X.Sound transmission loss of metamaterial-based thin plates with multiple subwavelength arrays of attached resonators[J].Journal of Sound and Vibration,2012,331(25):5408-5423.
[5]OUDICH M,LI Y,ASSOUAR B M,et al.A sonic band gap based on the locally resonant phononic plates with stubs[J].New Journal of Physics,2010,12:83049.
[6]HSU J C.Local resonances-induced low-frequency band gaps in two-dimensional phononic crystal slabs with periodic stepped resonators[J].Journal of Physics D:Applied Physics,2011,44(5):55401.
[7]HSU J C,WU T T,HSU H S.Measurement of frequency gaps and waveguiding in phononic plates with periodic stepped cylinders using pulsed laser generated ultrasound[J].Journal of Applied Physics,2013,113(8):83511.
[8]OUDICH M,SENESI M,ASSOUAR M B,et al.Experimental evidence of locally resonant sonic band gap in two-dimensional phononic stubbed plates[J].Physical Review B,2011,84(16):165136.
[9]ASSOUAR M B,OUDICH M.Enlargement of a locally resonant sonic band gap by using double-sides stubbed phononic plates[J].Applied Physics Letters,2012,100(12):123506.
[10]ASSOUAR M B,SENESI M,OUDICH M,et al.Broadband plate-type acoustic metamaterial for lowfrequency sound attenuation[J].Applied Physics Letters,2012,101(17):173505.
[11]WANG P,CHEN T,YU K,et al.Lamb wave band gaps in a double-sided phononic plate[J].Journal of Applied Physics,2013,113(5):53506-53509.
[12]WANG X,JIANG P,CHEN T,et al.Tuning characteristic of band gap and waveguide in a multi-stub locally resonant phononic crystal plate[J].AIP Advances,2015,5(10):107141.
[13]ZHAO H,GUO H,GAO M,et al.Vibration band gaps in double-vibrator pillared phononic crystal plate[J].Journal of Applied Physics,2016,119(1):14903.
[14]ASSOUAR B,OUDICH M,ZHOU X.Acoustic metamaterials for sound mitigation[J].Comptes Rendus Physique,2016,17(5):524-532.