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Dynamic interfacial trapping of flexural waves in structured plates

Jones, IS (2016) Dynamic interfacial trapping of flexural waves in structured plates. Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, 472 (2186). pp. 1-25. ISSN 0080-4630

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Abstract

The paper presents new results on the localization and transmission of flexural waves in a structured plate containing a semi-infinite two-dimensional array of rigid pins. In particular, localized waves are identified and studied at the interface boundary between the homogeneous part of the flexural plate and the part occupied by rigid pins. A formal connection has been made with the dispersion properties of flexural Bloch waves in an infinite doubly periodic array of rigid pins. Special attention is given to regimes corresponding to standing waves of different types as well as Dirac-like points that may occur on the dispersion surfaces. A single half-grating problem, hitherto unreported in the literature, is also shown to bring interesting solutions.

Item Type: Article
Subjects: Q Science > QA Mathematics
T Technology > TJ Mechanical engineering and machinery
Divisions: Maritime and Mechanical Engineering
Publisher: Royal Society, The
Date Deposited: 26 Feb 2016 10:06
Last Modified: 18 Nov 2016 12:03
DOI or Identification number: 10.1098/rspa.2015.0658
URI: http://researchonline.ljmu.ac.uk/id/eprint/2998

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