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



Jones, Ian S ORCID: 0000-0002-5226-0053, Movchan, Natalia V and Movchan, Alexander B
(2017) Blockage and guiding of flexural waves in a semi-infinite double grating. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 40 (9). pp. 3265-3282.

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Abstract

<jats:p>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 &amp; Sons, Ltd.</jats:p>

Item Type: Article
Additional Information: archiveprefix: arXiv arxivid: 1510.02514 date-modified: 2016-12-14 18:01:22 +0000 keywords: Kirchhoff plates,Scattering,Structured waveguides bdsk-url-1: http://dx.doi.org/10.1002/mma.4139
Uncontrolled Keywords: scattering, Kirchhoff plates, structured waveguides
Depositing User: Symplectic Admin
Date Deposited: 02 Nov 2018 09:33
Last Modified: 19 Sep 2023 01:24
DOI: 10.1002/mma.4139
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3008777