Resonant waves and localization phenomena in lattices

Sagdulla A. Abdukadirov 1
, 
Mark V. Ayzenberg-Stepanenko 2
, 
Gregory G. Osharovich 3
1
 
Institute of Architecture and Civil Engineering, Tashkent, Uzbekistan | 
2
 
3
 
Publication type: Journal Article
Publication date: 2019-09-02
The Royal Society
scimago Q1
wos Q1
SJR: 1.027
CiteScore: 9.6
Impact factor: 3.7
ISSN: 1364503X, 14712962
General Physics and Astronomy
General Mathematics
General Engineering
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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Abdukadirov S. A., Ayzenberg-Stepanenko M. V., Osharovich G. G. Resonant waves and localization phenomena in lattices // Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2019. Vol. 377. No. 2156. p. 20190110.
GOST all authors (up to 50) Copy
Abdukadirov S. A., Ayzenberg-Stepanenko M. V., Osharovich G. G. Resonant waves and localization phenomena in lattices // Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2019. Vol. 377. No. 2156. p. 20190110.
RIS |
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RIS Copy
TY - JOUR
DO - 10.1098/rsta.2019.0110
UR - https://doi.org/10.1098/rsta.2019.0110
TI - Resonant waves and localization phenomena in lattices
T2 - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
AU - Abdukadirov, Sagdulla A.
AU - Ayzenberg-Stepanenko, Mark V.
AU - Osharovich, Gregory G.
PY - 2019
DA - 2019/09/02
PB - The Royal Society
SP - 20190110
IS - 2156
VL - 377
PMID - 31474206
SN - 1364-503X
SN - 1471-2962
ER -
BibTex |
Cite this
BibTex (up to 50 authors) Copy
@article{2019_Abdukadirov,
author = {Sagdulla A. Abdukadirov and Mark V. Ayzenberg-Stepanenko and Gregory G. Osharovich},
title = {Resonant waves and localization phenomena in lattices},
journal = {Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
year = {2019},
volume = {377},
publisher = {The Royal Society},
month = {sep},
url = {https://doi.org/10.1098/rsta.2019.0110},
number = {2156},
pages = {20190110},
doi = {10.1098/rsta.2019.0110}
}
MLA
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MLA Copy
Abdukadirov, Sagdulla A., et al. “Resonant waves and localization phenomena in lattices.” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 377, no. 2156, Sep. 2019, p. 20190110. https://doi.org/10.1098/rsta.2019.0110.