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Nieves, MJ, Carta, G, Pagneux, V and Brun, M (2021) Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects. Frontiers in Materials, 7. ISSN 2296-8016

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Abstract

<jats:p>We discuss the propagation of Rayleigh waves at the boundary of a semi-infinite elastic lattice connected to a system of gyroscopic spinners. We present the derivation of the analytical solution of the equations governing the system when the lattice is subjected to a force acting on the boundary. We show that the analytical results are in excellent agreement with the outcomes of independent finite element simulations. In addition, we investigate the influence of the load direction, frequency and gyroscopic properties of the model on the dynamic behavior of the micro-structured medium. The main result is that the response of the forced discrete system is not symmetric with respect to the point of application of the force when the effect of the gyroscopic spinners is taken into account. Accordingly, the gyroscopic lattice represents an important example of a non-reciprocal medium. Hence, it can be used in practical applications to split the energy coming from an external source into different contributions, propagating in different directions.</jats:p>

Item Type: Article
Additional Information: © 2021 Nieves, Carta, Pagneux and Brun. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
Uncontrolled Keywords: Rayleigh waves, elastic lattice, gyroscopic spinners, dispersion properties, energy flow, non-reciprocity, energy symmetry breaking
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 29 Jan 2021 14:58
Last Modified: 29 Jan 2021 14:58
URI: https://eprints.keele.ac.uk/id/eprint/9109

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