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Dispersion transitions and pole-zero characteristics of finite inertially amplified acoustic metamaterials
Authors
Al Ba'ba'a, H., DePauw, D., Singh, T. and Nouh, M.,
Source
Journal of Applied Physics,
123 (10).
Abstract
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 benchmark conventional acoustic metamaterials, the conditions leading up to favorable
as well as inferior IAAM designs are fully derived. Finally, an alternative resonator-free acoustic
metamaterial is presented and shown to exhibit local resonance effects under appropriately tuned
conditions.
@article{doi:10.1063/1.5019703,
author = {H. Al Ba'ba'a and D. DePauw and T. Singh and M. Nouh},
title = {Dispersion transitions and pole-zero characteristics of finite inertially amplified acoustic metamaterials},
journal = {Journal of Applied Physics},
volume = {123},
number = {10},
pages = {105106},
year = {2018},
doi = {10.1063/1.5019703},
URL = {https://doi.org/10.1063/1.5019703},
eprint = {https://doi.org/10.1063/1.5019703}
}
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