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Nieves, MJ, Carta, G, Jones, IS, Movchan, AB and Movchan, NV (2018) Vibrations and elastic waves in chiral multi-structures. Journal of the Mechanics and Physics of Solids, 121. pp. 387-408. ISSN 0022-5096
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20180815_1-s2.0-S0022509618303570-main.pdf - Accepted Version
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Abstract
We develop a new asymptotic model of the dynamic interaction between an elastic structure and a system of gyroscopic spinners that make the overall multi-structure chiral. An important result is the derivation and analysis of effective chiral boundary conditions describing the interaction between an elastic beam and a gyroscopic spinner. These conditions are applied to the analysis of waves in systems of beams connected by gyroscopic spinners. A new asymptotic and physical interpretation of the notion of a Rayleigh gyrobeam is also presented. The theoretical findings are accompanied by illustrative numerical examples and simulations.
Item Type: | Article |
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Additional Information: | This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Elsevier at http://doi.org/10.1016/j.jmps.2018.07.020 - please refer to any applicable terms of use of the publisher. |
Subjects: | Q Science > QC Physics |
Divisions: | Faculty of Natural Sciences > School of Computing and Mathematics |
Depositing User: | Symplectic |
Date Deposited: | 15 Aug 2018 15:27 |
Last Modified: | 04 Aug 2019 01:30 |
URI: | https://eprints.keele.ac.uk/id/eprint/5227 |