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Broad band gaps for flexural wave manipulation in plates with embedded periodic strip acoustic black holes
International Journal of Solids and Structures ( IF 3.6 ) Pub Date : 2021-04-01 , DOI: 10.1016/j.ijsolstr.2021.111043
Jie Deng , Ling Zheng , Nansha Gao

Acoustic black holes (ABHs) achieved by thinning structural thickness following a power-law profile have shown fantastic applications in vibration and noise suppression, energy harvesting, and wave manipulation. For the latter, many passband properties exemplified by self-collimation, focusing, and bi-refraction, have been reported on metamaterial plates with embedded circular ABHs in periodic arrangement. To date, however, band gaps (BGs), being the main feature for metamaterials, have not yet been observed in ABH plates. In this paper, we propose a new class of phononic crystal consisting in two crossed strip ABHs to open broad and complete BGs in plates, based on the dual benefit of local resonance and Bragg scattering effect. The dispersion curves of infinite strip ABHs are recovered by means of the Gaussian expansion method, then validated by a finite element model. The influences of ABH radius, ABH order and residual thickness, on the GBs have been carried out by parametric studies. The results show that the BGs can be modulated to very low frequencies via adjusting the ABH parameters, while maintaining the broadband characteristics. Finally, the wave propagation properties including isolation, guiding, and shielding, in plates with finite periodic arrays have been characterized, indicating that a small number of ABHs are very efficient to quarantine flexural waves. Experimental samples have been fabricated and tested, showing very close results compared to the BGs predicted by the GEM. Even though the proposed strip ABHs seems fragile in strength, peripheral frame can be adopted to partially alleviate this problem. The proposed PCs possess a great potential to broaden ABH applications in vibration control and wave manipulation in plates based on the highlighted BG feature.



中文翻译:

具有嵌入式周期性带状声黑洞的板中的挠性波操纵的宽带隙

通过根据幂律轮廓来减小结构厚度而获得的声学黑洞(ABH)在振动和噪声抑制,能量收集和波浪操纵中显示了出色的应用。对于后者,已经报道了具有自准直,聚焦和双折射的许多通带特性,这些材料在周期性排列的嵌有圆形ABH的超材料板上得到了报道。然而,迄今为止,ABH板中尚未观察到带隙(BG),这是超材料的主要特征。在本文中,我们基于局部共振和布拉格散射效应的双重优势,提出了一种新型的声子晶体,该晶体由两个交叉的带状ABH组成,可以在平板中打开宽而完整的BG。无限条带ABH的色散曲线通过高斯展开法恢复,然后通过有限元模型进行验证。ABH半径,ABH顺序和残余厚度对GB的影响已通过参数研究进行了。结果表明,可以通过调整ABH参数将BG调制到非常低的频率,同时保持宽带特性。最后,对具有有限周期阵列的板中的波传播特性(包括隔离,导引和屏蔽)进行了表征,表明少量ABH可以非常有效地隔离弯曲波。实验样品已被制造和测试,与GEM预测的BG相比,显示出非常接近的结果。即使所提出的带状ABH的强度似乎很脆弱,也可以采用外围框架来部分缓解此问题。

更新日期:2021-04-22
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