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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

Annotatsiya

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)'.

Mavzular

Acoustic Wave Phenomena Research Vibration and Dynamic Analysis Ultrasonics and Acoustic Wave Propagation

Identifikatorlar

DOI: 10.1098/rsta.2019.0110

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