Resonant waves and localization phenomena in lattices

Transient wave processes in mass-spring lattices excited by point oscillating sources are studied. Dispersion properties of uniform periodic three-dimensional (3D) square-cell and two-dimensional (2D) hexagonal-cell lattices including revealed star-shaped localization phenomena are analysed. The res...

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Veröffentlicht in:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2019-10, Vol.377 (2156), p.20190110-20190110
Hauptverfasser: Abdukadirov, Sagdulla A, Ayzenberg-Stepanenko, Mark V, Osharovich, Gregory G
Format: Artikel
Sprache:eng
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Zusammenfassung:Transient wave processes in mass-spring lattices excited by point oscillating sources are studied. Dispersion properties of uniform periodic three-dimensional (3D) square-cell and two-dimensional (2D) hexagonal-cell lattices including revealed star-shaped localization phenomena are analysed. The resonant-like waves and localization-like patterns in non-uniform lattices possessing predetermined and randomly distributed defects are numerically examined in order to identify the sensitivity of star-shape forms to different types of defects. This article is part of the theme issue 'Modelling of dynamic phenomena and localization in structured media (part 1)'.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.2019.0110