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Acoustic metamaterials with coupled local resonators for broadband vibration suppression

机译:具有耦合局部谐振器的声学超材料,可抑制宽带振动

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This paper investigates a modified acoustic metamaterial system with local resonators coupled through linear springs. The proposed acoustic metamaterial system can provide three band gaps for broadband vibration suppression. First, the band structure of the modified acoustic metamaterial is calculated by using Bloch’s theorem under the assumption of infinite lattice. The existence of three band gaps is confirmed in the band structure. Effects of mass and spring parameters on the band gap behaviour of the modified metamaterial are investigated through a dimensionless parametric study. Based on the parametric study, optimal dimensionless parameters are proposed to achieve maximal total band gap width in the low frequency range. Subsequently, a more realistic finite lattice model is established. The transmittances of the conventional and modified metamaterial systems are compared. The three band gaps predicted from transmittances and broadband vibration suppression behaviour are consistent with the predictions from infinite lattice model using Bloch’s theorem. Finally, the time-domain responses are simulated and the superiority of the modified acoustic metamaterial over the conventional one is demonstrated.
机译:本文研究了一种改进的声学超材料系统,该系统具有通过线性弹簧耦合的局部谐振器。所提出的声学超材料系统可以为宽带振动抑制提供三个带隙。首先,在无限晶格的假设下,通过使用布洛赫定理来计算修改后的声学超材料的能带结构。在带结构中确认了三个带隙的存在。通过无量纲参数研究,研究了质量和弹簧参数对改性超材料的带隙行为的影响。基于参数研究,提出了最佳无量纲参数,以在低频范围内实现最大总带隙宽度。随后,建立了更逼真的有限晶格模型。比较了常规和改进的超材料系统的透射率。根据透射率和宽带振动抑制行为预测的三个带隙与使用布洛赫定理的无限晶格模型的预测一致。最后,对时域响应进行了仿真,并证明了改进后的声学超材料相对于传统材料的优越性。

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