Výsledky vyhledávání - "Platonic crystal"

Single-phase metamaterial plates for broadband vibration suppression at low frequencies

Autor: Linzhi Wu, Penglin Gao, José Sánchez-Dehesa, Alfonso Climente

Publikováno v: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
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[EN] By studying platonic crystals based on lattices of cavities containing N-beam resonators, we conclude that crystals made of 1-beam resonators easily produce low-frequency omnidirectional bandgaps. Based on this favorable property, hardly obtaine

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d64932f44a177e8a66868b1e4f1d336
https://doi.org/10.1016/j.jsv.2018.12.022

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

Autor: Michele Brun, Giorgio Carta, Maryam Morvaridi

Publikováno v: Journal of the Mechanics and Physics of Solids. 121:496-516

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 pe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::55f6685180a8525e3d5e7cc97bbbddd6
https://doi.org/10.1016/j.jmps.2018.08.017

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Density of States for Platonic Crystals and Clusters

Autor: Michael J. A. Smith, Michael H. Meylan, Ross C. McPhedran

Publikováno v: SIAM Journal on Applied Mathematics. 74:1551-1570

The density of states, which measures the density of the spectrum, is evaluated for a platonic crystal (periodically structured elastic plate) using the Green's function approach. Results are presented not only for the standard density of states, but

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d968a7028820c52ee923b1c1a8501b02
https://doi.org/10.1137/130950501

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Convergence properties and flat bands in platonic crystal band structures using the multipole formulation

Autor: Alexander Movchan, Natalia V. Movchan, Ross C. McPhedran, Christopher G. Poulton

We present converged band diagrams for Bloch-Floquet bending waves in a thin elastic plate containing a square array of circular perforations, using the multipole formulation developed by Movchan et al. (2007) and applied in the situation where the p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0331b67f387fb0c59a81b84f4fe92618
https://hdl.handle.net/10453/14581

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Biharmonic split ring resonator metamaterial: Artificially dispersive effective density in thin periodically perforated plates

Autor: Mohamed Farhat, Sébastien Guenneau, Stefan Enoch

Publikováno v: EPL-Europhysics Letters
EPL-Europhysics Letters, 2014, 107, pp.44002. ⟨10.1209/0295-5075/107/44002⟩
EPL-Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2014, 107, pp.44002. ⟨10.1209/0295-5075/107/44002⟩
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We present in this paper a theoretical and numerical analysis of bending waves localized on the boundary of a platonic crystal whose building blocks are split ring resonators (SRR). We first derive the homogenized parameters of the structured plate u

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9a22c1f9755c776107004534ac8d036
https://doi.org/10.1209/0295-5075/107/44002

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High directivity and confinement of flexural waves through ultra-refraction in thin perforated plates

Autor: Mohamed Farhat, Stefan Enoch, Sébastien Guenneau

Publikováno v: EPL-Europhysics Letters
EPL-Europhysics Letters, 2010, 91, pp.54003. ⟨10.1209/0295-5075/91/54003⟩
EPL-Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2010, 91, pp.54003. ⟨10.1209/0295-5075/91/54003⟩

International audience; We propose a design of a periodically perforated thin plate leading to omni-directivity and confinement of bending waves via ultra-refraction. We first analyze the band spectrum of the bi-harmonic operator for an array of free

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a9495f5c55ae2e14bf9bfbaeeca3aa3
https://doi.org/10.1209/0295-5075/91/54003

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