Platonic crystal with low-frequency locally resonant snail structures. Wave trapping, transmission amplification and shielding
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.
Keywords
Cite
@article{arxiv.1802.08316,
title = {Platonic crystal with low-frequency locally resonant snail structures. Wave trapping, transmission amplification and shielding},
author = {M. Morvaridi and G. Carta and M. Brun},
journal= {arXiv preprint arXiv:1802.08316},
year = {2018}
}
Comments
11 figures (20 files)