Matryoshka局域共振声子晶体
Matryoshka Locally Resonant Sonic Crystal
摘要：
本文报道了用共振阵元对声波晶体进行数值模拟的结果。研究的谐振元件包括普通开槽圆柱体以及它们的各种组合，特别是俄罗斯娃娃或Matryoshka配置。用有限元法计算了这种系统的声学能带结构和传输特性。提出了局部共振声波晶体的一般概念，它利用声共振形成额外的带隙，从布拉格间隙去耦。与谐振元件相关联的单独的衰减机制的存在，其增加了在较低频率范围中的性能，已经被识别。结果表明，宽带隙的形成定位显着低于第一布拉格频率。对于低频宽带衰减，最佳配置是Matryoshka声波晶体，其中每个散射单元由多个同心开槽圆柱体组成。该系统在布拉格频带以下的较低频率范围内形成许多间隙，同时保持对于噪声屏障技术可行的减小的晶体尺寸。这一发现为在低频范围内建造声屏障开辟了新的前景，这些低频范围通常无法通过包括传统声波晶体在内的传统手段实现。
英文摘要：
The results of numerical modelling of sonic crystals with resonant array elements are reported. The investigated resonant elements include plain slotted cylinders as well as various their combinations, in particular, Russian doll or Matryoshka configurations. The acoustic band structure and transmission characteristics of such systems have been computed with the use of finite element methods. The general concept of a locally resonant sonic crystal is proposed, which utilises acoustic resonances to form additional band gaps that are decoupled from Bragg gaps. An existence of a separate attenuation mechanism associated with the resonant elements, which increases performance in the lower frequency regime has been identified. The results show a formation of broad band gaps positioned significantly below the first Bragg frequency. For low frequency broadband attenuation a most optimal configuration is the Matryoshka sonic crystal, where each scattering unit is composed of multiple concentric slotted cylinders. This system forms numerous gaps in the lower frequency regime, below Bragg bands, whilst maintaining a reduced crystal size viable for noise barrier technology. The finding opens new perspectives for construction of sound barriers in the low frequency range usually inaccessible by traditional means including conventional sonic crystals.
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