Complete sub-wavelength flexural wave band gaps in plates with periodic acoustic black holes
Complete sub-wavelength flexural wave band gaps in plates with periodic acoustic black holes
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具有周期性声学黑洞的板中完整的亚波长弯曲波带隙
DOI：
10.1016/j.jsv.2021.116102
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发表时间：
2021-06
影响因子：
4.7
通讯作者：
Chen Kean
中科院分区：
文献类型：
--
作者：
Tang Liling;Cheng Li;Chen Kean
声学黑洞（ABH）效应在振动控制方面显示出了希望，但主要限于相对较高的频率范围。虽然在一维周期ABH结构中可以实现，但在二维结构中尚未实现完整的亚波长带隙（BG）。利用ABH独特的波传播特性，我们提出了一种新型板，其中包含周期性排列的双层ABH单元，可提供完整的全方位BG。这种现象源于ABH特定的局部共振和布拉格散射的综合效应，这是通过双重过程实现的：波传播路径的适当通道和ABH诱导的局部共振与晶胞的全局振动之间的耦合受损。前者是由一个适当的结构剪裁的单位细胞和后者的双层ABH设计的动力学保证。结果表明，可以通过调整ABH参数来调谐BG。同时，在双ABH分支的中心连接一个连接柱，由于布拉格散射的增强，可以进一步展宽和降低布拉格光栅的频率。数值计算和实验结果表明，在板中只有少量的ABH单元可以实现显着的振动衰减和能量隔离，从而指出在合理的尺寸结构中实现亚波长振动控制的可能性。
Acoustic Black Hole (ABH) effect shows promise for vibration control, but mainly limited to a relatively high frequency range. Though achievable in 1D periodic ABH structures, complete sub-wavelength band gaps (BGs) have not yet been realized in 2D configuration. Capitalizing on the unique wave propagation characteristics of the ABH, we propose a new type of plates containing periodically arranged double-layer ABH cells which offer complete and omnidirectional BGs. The phenomena originate from the combined effects of the ABH-specific local resonances and Bragg scattering, which are made possible through a dual process: a proper channeling of the wave propagation path and an impaired coupling between the ABH-induced local resonances and the global vibration of the unit cells. The former is warranted by a proper structural tailoring of the unit cells and the latter by the dynamics of the double-layer ABH design. It is shown that the BGs can be tuned through adjusting ABH parameters. Meanwhile, attaching the centers of the double ABH branches with a connecting cylinder can further broaden and lower the frequencies of the BGs as a result of the enhanced Bragg scattering. It is also demonstrated numerically and experimentally that remarkable vibration attenuation and energy insulation can be achieved in a plate with only a small number of ABH cells, thus pointing at the possibility of achieving sub-wavelength vibration control in structures with reasonable dimensions.
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