Resonant waves and localization phenomena in lattices
Sagdulla AbdukadirovInstitute of Architecture and Civil Engineering, Tashkent, UzbekistanM. V. Ayzenberg–StepanenkoBen-Gurion University of the Negev, Beer-Sheva, IsraelG. OsharovichBar-Ilan University, Ramat Gan, Israel
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciencesjournal2019en
ABI
Abstract
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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