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Dynamic characterization of a periodic microstructured flexural system with rotational inertia.

Nieves

Dynamic characterization of a periodic microstructured flexural system with rotational inertia. Thumbnail


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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)'.

Acceptance Date Jun 26, 2019
Publication Date Sep 2, 2019
Publicly Available Date Mar 28, 2024
Journal Philosophical Transactions A: Mathematical, Physical and Engineering Sciences
Print ISSN 1364-503X
Publisher The Royal Society
Pages 20190113 - ?
DOI https://doi.org/10.1098/rsta.2019.0113
Keywords microstructured medium; flexural waves; dispersion relation; Rayleigh beams
Publisher URL https://royalsocietypublishing.org/doi/10.1098/rsta.2019.0113

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