Nieves, MJ ORCID: https://orcid.org/0000-0003-4616-4548 and Brun, M (2019) Dynamic characterization of a periodic microstructured flexural system with rotational inertia. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 377 (2156). 20190113 - ?.

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Abstract

We consider the propagation of waves in a flexural medium composed of massless beams joining a periodic array of elements, elastically supported and possessing mass and rotational inertia. The dispersion properties of the system are determined and the influence and interplay between the dynamic parameters on the structure of the pass and stop bands are analysed in detail. We highlight the existence of three special dynamic regimes corresponding to a low stiffness in the supports and/or low rotational inertia of the masses; to a high stiffness and/or high rotational inertia regime; and to a transition one where dispersion degeneracies are encountered. In the low-frequency regime, a rigorous asymptotic analysis shows that the structure approximates a continuous Rayleigh beam on an elastic foundation. This article is part of the theme issue 'Modelling of dynamic phenomena and localization in structured media (part 1)'.

Item Type: Article
Additional Information: © 2019 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ , which permits unrestricted use, provided the original author and source are credited.
Uncontrolled Keywords: microstructured medium; flexural waves; dispersion relation; Rayleigh beams
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Related URLs:
Depositing User: Symplectic
Date Deposited: 21 Oct 2019 09:47
Last Modified: 21 Oct 2019 09:47
URI: http://eprints.keele.ac.uk/id/eprint/7047

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