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Blockage and guiding of flexural waves in a semi‐infinite double grating
Author(s) -
Jones Ian S.,
Movchan Natalia V.,
Movchan Alexander B.
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4139
Subject(s) - flexural strength , mathematics , scattering , grating , mathematical analysis , waveguide , blocking (statistics) , function (biology) , physics , geometry , optics , statistics , evolutionary biology , biology , thermodynamics
The paper presents a novel view on the scattering of a flexural wave in a Kirchhoff plate by a semi‐infinite discrete system. Blocking and channelling of flexural waves are of special interest. A quasi‐periodic two‐source Green's function is used in the analysis of the waveguide modes. An additional ‘effective waveguide’ approximation has been constructed. Comparisons are presented for these two methods in addition to an analytical solution for a finite truncated system. Copyright © 2016 John Wiley & Sons, Ltd.