Resonant waves and localization phenomena in lattices | Zendy

Sagdulla Abdukadirov | Zendy; M. V. Ayzenberg–Stepanenko | Zendy; G. Osharovich | Zendy

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Resonant waves and localization phenomena in lattices

Author(s) -

Sagdulla Abdukadirov,

M. V. Ayzenberg–Stepanenko,

G. Osharovich

Publication year - 2019

Publication title -

philosophical transactions of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.074

H-Index - 169

eISSN - 1471-2962

pISSN - 1364-503X

DOI - 10.1098/rsta.2019.0110

Subject(s) - physics , dispersion relation , hexagonal crystal system , star (game theory) , spring (device) , point (geometry) , dispersion (optics) , excited state , sensitivity (control systems) , classical mechanics , condensed matter physics , geometry , optics , mathematics , quantum mechanics , astrophysics , chemistry , thermodynamics , engineering , electronic engineering , crystallography

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)'.

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