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arXiv · 1802.08316

Platonic crystal with low-frequency locally resonant snail structures. Wave trapping, transmission amplification and shielding

M. Morvaridi·G. Carta·M. Brun
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Abstract

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.

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M. Morvaridi, G. Carta, M. Brun. 2018-02-13. Platonic crystal with low-frequency locally resonant snail structures. Wave trapping, transmission amplification and shielding. https://doi.org/10.1016/j.jmps.2018.08.017

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