Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects
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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Frontiers Media S.A.
2021-01-01
|
| Series: | Frontiers in Materials |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fmats.2020.602960/full |
| _version_ | 1818413364775223296 |
|---|---|
| author | M. J. Nieves G. Carta V. Pagneux M. Brun |
| author_facet | M. J. Nieves G. Carta V. Pagneux M. Brun |
| author_sort | M. J. Nieves |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-14T11:02:02Z |
| format | Article |
| id | doaj.art-b21d6c283584454684e4ea7a37253b47 |
| institution | Directory Open Access Journal |
| issn | 2296-8016 |
| language | English |
| last_indexed | 2024-12-14T11:02:02Z |
| publishDate | 2021-01-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Materials |
| spelling | doaj.art-b21d6c283584454684e4ea7a37253b472022-12-21T23:04:42ZengFrontiers Media S.A.Frontiers in Materials2296-80162021-01-01710.3389/fmats.2020.602960602960Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic EffectsM. J. Nieves0G. Carta1V. Pagneux2M. Brun3School of Computing and Mathematics, Keele University, Keele, United KingdomDepartment of Mechanical, Chemical and Materials Engineering, University of Cagliari, Cagliari, ItalyLaboratoire D’Acoustique de L’Université Du Maine (LAUM), Le Mans, FranceDepartment of Mechanical, Chemical and Materials Engineering, University of Cagliari, Cagliari, ItalyWe 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.https://www.frontiersin.org/articles/10.3389/fmats.2020.602960/fullRayleigh waveselastic latticegyroscopic spinnersdispersion propertiesenergy flownon-reciprocity |
| spellingShingle | M. J. Nieves G. Carta V. Pagneux M. Brun Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects Frontiers in Materials Rayleigh waves elastic lattice gyroscopic spinners dispersion properties energy flow non-reciprocity |
| title | Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects |
| title_full | Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects |
| title_fullStr | Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects |
| title_full_unstemmed | Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects |
| title_short | Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects |
| title_sort | directional control of rayleigh wave propagation in an elastic lattice by gyroscopic effects |
| topic | Rayleigh waves elastic lattice gyroscopic spinners dispersion properties energy flow non-reciprocity |
| url | https://www.frontiersin.org/articles/10.3389/fmats.2020.602960/full |
| work_keys_str_mv | AT mjnieves directionalcontrolofrayleighwavepropagationinanelasticlatticebygyroscopiceffects AT gcarta directionalcontrolofrayleighwavepropagationinanelasticlatticebygyroscopiceffects AT vpagneux directionalcontrolofrayleighwavepropagationinanelasticlatticebygyroscopiceffects AT mbrun directionalcontrolofrayleighwavepropagationinanelasticlatticebygyroscopiceffects |