Vibrations and elastic waves in chiral multi-structures



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.

Access the full-text of this item by clicking on the Open Access link.

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: 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