具有低频局部共振蜗牛结构的柏拉图晶体。陷波、透射放大和屏蔽
Platonic crystal with low-frequency locally resonant snail structures. Wave trapping, transmission amplification and shielding
摘要：
我们提出了一种新型的柏拉图晶体。所提出的微结构板包括具有低频谐振的蜗牛谐振器。通过对均匀板和穿孔板的色散特性的比较分析，突出了谐振器的特殊动力学效应。给出了各类驻波的解析和数值估计，并对宏胞进行了分析，表明了获得局部化、陷波和边缘波的可能性。应用包括在由小韧带分开的两个板内的传输放大。最后，我们提出了一个设计过程，以抑制低频弯曲振动的细长板实现旁路系统重新路由波内的机械系统。
英文摘要：
We propose a new type of platonic crystal. The proposed microstructured plate includes snail resonators with low-frequency resonant vibrations. The particular dynamic effect of the resonators are highlighted by a comparative analysis of dispersion properties of homo- geneous and perforated plates. Analytical and numerical estimates of classes of standing waves are given and the analysis on a macrocell shows the possibility to obtain localization, wave trapping and edge waves. Applications include transmission amplification within two plates separated by a small ligament. Finally we proposed a design procedure to suppress low frequency flexural vibration in an elongated plate implementing a by-pass system re- routing waves within the mechanical system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
