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Blockage and guiding of flexural waves in a semi-infinite double grating

Authors :
Natalia V. Movchan
Alexander Movchan
Ian S. Jones
Source :
Mathematical Methods in the Applied Sciences. 40:3265-3282
Publication Year :
2016
Publisher :
Wiley, 2016.

Abstract

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.

Details

ISSN :
01704214
Volume :
40
Database :
OpenAIRE
Journal :
Mathematical Methods in the Applied Sciences
Accession number :
edsair.doi...........d1f614aba5d3f4e01bc3df88973c4a68