Platonic crystal with low-frequency locally-resonant spiral structures: wave trapping, transmission amplification, shielding and edge waves. (December 2018)

• Record Type: Journal Article
• Authors: Morvaridi, M.; Carta, G.; Brun, M.
• Is Part Of: Journal of the mechanics and physics of solids. Volume 121(2018)
• Page Start: 496
• Page End: 516
• Publication Date: 2018-12
• Subjects: Platonic crystal -- Flexural waves -- Metamaterials -- Spiral resonators -- Bloch–Floquet analysis -- Rayleigh waves -- Konenkov waves; Mechanics, Applied -- Periodicals; Solids -- Periodicals; Mechanics -- Periodicals; Mécanique appliquée -- Périodiques; Solides -- Périodiques; Mechanics, Applied; Solids; Periodicals; 531.05
• DOI: 10.1016/j.jmps.2018.08.017
• Languages: English
• ISSNs: 0022-5096

Abstract

Abstract: We propose a new type of platonic crystal, which includes spiral resonators with low-frequency resonant vibrations. The special dynamic effects of the resonators are highlighted by a comparative analysis of dispersion properties of homogeneous and perforated plates. Analytical and numerical estimates of classes of standing waves are given and the analysis of 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 and a novel design to suppress low-frequency flexural vibrations in an elongated plate implementing a bypass system that re-routes waves within the mechanical system. Finally, we show the possibility to obtain Konenkov-Bloch edge waves for general boundary conditions.