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Bandgap properties in metamaterial sandwich plate with periodically embedded plate-type resonators

机译:具有周期性嵌入式板式谐振器的超材料夹层板中的带隙性能

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摘要

In this study, a novel plate-type resonator is proposed, and the bandgap properties of a metamaterial sandwich plate containing a two-dimensional periodic array of these plate-type resonators are numerically and experimentally investigated. The finite element method is applied to calculate the band structure and the transmission spectra. The formation mechanisms of the bandgaps are investigated via the analysis of the mode shapes of the plate-type resonator and face plate in a unit cell. The results demonstrate that both locally resonant and Bragg bandgaps exist in the proposed structure. The selective coupling between the resonant modes of the plate-type resonator and the face plate is a necessary condition for the generation of locally resonant bandgaps that the resonant modes of the plate-type resonator can produce a reaction force on the support. The effect of the geometric parameters and surface mass ratio on the bandgaps is investigated, and the effect of the introduction of the plate-type resonator on the Bragg bandgap is studied. The improvements of the plate-type resonator by changing its structure or moving its attachment point are also discussed. Moreover, a metamaterial sandwich plate specimen is fabricated and vibration experiments are conducted, and it is observed that there is good agreement between the numerical predictions and the experimental results. The proposed strategy contributes to the possibility of fabricating a simpler structure to promote the exploitation of metamaterial sandwich plates in engineering.
机译:在该研究中,提出了一种新颖的板式谐振器,并且包括这些板式谐振器的二维周期阵列的超金属夹芯板的带隙性质在数值上进行了数值和实验研究。应用有限元方法来计算带结构和传输光谱。通过分析单元电池中的板式谐振器和面板的模式形状来研究带隙的形成机制。结果表明,在所提出的结构中存在局部谐振和布拉格带。板式谐振器和面板的谐振模式之间的选择性耦合是产生局部谐振带的必要条件,即板式谐振器的谐振模式可以产生载体的反作用力。研究了几何参数和表面质量比对带隙的影响,研究了在布拉格带隙上引入板式谐振器的效果。还讨论了通过改变其结构或移动其附接点来改善板式谐振器。此外,制造了金属石型夹层标本,并进行了振动实验,观察到数值预测与实验结果之间存在良好的一致性。拟议的策略有助于制造更简单的结构,以促进工程中超材料夹心板的开发。

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