Dispersion transitions and pole-zero characteristics of finite inertially amplified acoustic metamaterials
Dispersion transitions and pole-zero characteristics of finite inertially amplified acoustic metamaterials
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DOI：
10.1063/1.5019703
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发表时间：
2018-03
影响因子：
3.2
通讯作者：
H. A. Ba'ba'a;D. DePauw;T. Singh;M. Nouh
中科院分区：
文献类型：
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作者：
H. A. Ba'ba'a;D. DePauw;T. Singh;M. Nouh
本文对惯性放大声学超材料（IAAM）的波频散模式和带隙形成进行了全面的分析。这些发现解释了惯性放大影响单个IAAM细胞中的波色散的不同机制，以及这些细胞的有限配置中这种效应的演变。IAAM中的声波色散的导出表达式揭示了独特的功能，包括零群速度的平坦色散分支和从超材料（局部共振）到声子行为的过渡，该声子行为与惰性元素的位置和大小直接相关。使用一个封闭形式的传递函数的方法，翻译这样的效果IAAM实现与已知数量的细胞被解释从所得到的有限结构的零极点分布。它还表明，带隙并不总是一定在惯性放大的存在下扩大。与Benchma相比，
This work presents a comprehensive analysis of wave dispersion patterns and band gap formation associated with Inertially Amplified Acoustic Metamaterials (IAAM). The findings explain the different mechanisms by which inertial amplification affect wave dispersion in the individual IAAM cell as well as the evolution of such effects in finite configurations of these cells. Derived expressions for acoustic wave dispersion in IAAMs reveal unique features including flat dispersion branches with zero group velocity and a transition from a metamaterial (local resonance) to a phononic behavior that is directly related to the location and magnitude of the inerter elements. Using a closed-form transfer function approach, the translation of such effects to IAAM realizations with a known number of cells is interpreted from the pole-zero distributions of the resultant finite structures. It is also shown that band gaps are not always necessarily enlarged in the presence of inertial amplification. Comparing with benchma...