Nieves, MJ, Carta, G ORCID: 0000-0003-1325-8070, Jones, IS ORCID: 0000-0002-5226-0053, 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.
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: | 31 pages, 11 figures |
Uncontrolled Keywords: | physics.class-ph, physics.class-ph, 70J10, 70E55, 70E05 |
Depositing User: | Symplectic Admin |
Date Deposited: | 02 Nov 2018 08:25 |
Last Modified: | 19 Jan 2023 01:13 |
DOI: | 10.1016/j.jmps.2018.07.020 |
Open Access URL: | https://www.sciencedirect.com/science/article/pii/... |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3028289 |