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pro vyhledávání: '"Movchan, A. V."'
The analysis of wave patterns in a structure which possesses periodicity in the spatial and temporal dimensions is presented. The topic of imperfect chiral interfaces is also considered. Although causality is fundamental for physical processes, natur
Externí odkaz:
http://arxiv.org/abs/2203.07168
This paper addresses fundamental questions arising in the theory of Bloch-Floquet waves in chiral elastic lattice systems. This area has received a significant attention in the context of "topologically protected" waveforms. Although practical applic
Externí odkaz:
http://arxiv.org/abs/1910.04876
We review the scattering from non-linear interfaces containing buckling elastic beams. An illustrative example is discussed here of scattering of linear elastic pressure waves from a two-mass system connected by a non-linear structured interface mode
Externí odkaz:
http://arxiv.org/abs/1908.04023
Autor:
Corso, Francesco Dal, Tallarico, Domenico, Movchan, Natalia V., Movchan, Alexander B., Bigoni, Davide
Publikováno v:
Philosophical Transactions of the Royal Society A (2019) 377: 20190101
Small axial and flexural oscillations are analyzed for a periodic and infinite structure, constrained by sliding sleeves and composed of elastic beams. A nested Bloch-Floquet technique is introduced to treat the non-linear coupling between longitudin
Externí odkaz:
http://arxiv.org/abs/1908.03061
The paper includes novel results for the scattering and localisation of a time-harmonic flexural wave by a semi-infinite herringbone waveguide of rigid pins embedded within an elastic Kirchhoff plate. The analytical model takes into account the orien
Externí odkaz:
http://arxiv.org/abs/1712.01827
The paper presents the study of waves in a structured geometrically chiral solid. A special attention is given to the analysis of the Bloch-Floquet waves in a doubly periodic high-contrast lattice containing tilted resonators. Dirac-like dispersion o
Externí odkaz:
http://arxiv.org/abs/1705.09726
Akademický článek
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Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 2020 Jan 01. 378(2162), 1-18.
Externí odkaz:
https://www.jstor.org/stable/26874463
Autor:
Haslinger, Stewart G., Movchan, Natasha V., Movchan, Alexander B., Jones, Ian S., Craster, Richard V.
We address the problem of scattering and transmission of a plane flexural wave through a semi-infinite array of point scatterers/resonators, which take a variety of physically interesting forms. The mathematical model accounts for several classes of
Externí odkaz:
http://arxiv.org/abs/1609.02787
We consider a vibrating triangular mass-truss lattice whose unit cell contains a resonator of a triangular shape. The resonators are connected to the triangular lattice by trusses. Each resonator is tilted, i.e. it is rotated with respect to the tria
Externí odkaz:
http://arxiv.org/abs/1608.00968