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

[thumbnail of 1-s2.0-S0022509618303570-main.pdf]
Preview
Text
1-s2.0-S0022509618303570-main.pdf - Published Version
Available under License Creative Commons Attribution.

Download (3MB) | Preview
[thumbnail of 20180815_1-s2.0-S0022509618303570-main.pdf]
Preview
Text
20180815_1-s2.0-S0022509618303570-main.pdf - Accepted Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.

Download (4MB) | Preview

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
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

Actions (login required)

View Item
View Item