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Carta, G, Nieves, MJ, Jones, IS, Movchan, NV and Movchan, AB (2019) Flexural vibration systems with gyroscopic spinners. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 377 (2156). 20190154 - ?. ISSN 1364-503X

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Abstract

In this paper, we study the spectral properties of a finite system of flexural elements connected by gyroscopic spinners. We determine how the eigenfrequencies and eigenmodes of the system depend on the gyricity of the spinners. In addition, we present a transient numerical simulation that shows how a gyroscopic spinner attached to the end of a hinged beam can be used as a 'stabilizer', reducing the displacements of the beam. We also discuss the dispersive properties of an infinite periodic system of beams with gyroscopic spinners at the junctions. In particular, we investigate how the band-gaps of the structure can be tuned by varying the gyricity of the spinners. 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: chirality; gyroscopic spinners; dispersion; flexural waves; gyrobeam
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: 02 Oct 2019 10:49
Last Modified: 02 Oct 2019 10:49
URI: https://eprints.keele.ac.uk/id/eprint/6920

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