Flexural vibration systems with gyroscopic spinners

In this paper, we study the spectral properties of a finite system of flexural elements connected by gyroscopic spinners. We determine how the eigenfrequencies and eigenmodes of the system depend on the gyricity of the spinners. In addition, we present a transient numerical simulation that shows how...

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Detalles Bibliográficos
Autores principales: Carta, G., Nieves, M. J., Jones, I. S., Movchan, N. V., Movchan, A. B.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6732376/
https://www.ncbi.nlm.nih.gov/pubmed/31474205
http://dx.doi.org/10.1098/rsta.2019.0154
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author Carta, G.
Nieves, M. J.
Jones, I. S.
Movchan, N. V.
Movchan, A. B.
author_facet Carta, G.
Nieves, M. J.
Jones, I. S.
Movchan, N. V.
Movchan, A. B.
author_sort Carta, G.
collection PubMed
description In this paper, we study the spectral properties of a finite system of flexural elements connected by gyroscopic spinners. We determine how the eigenfrequencies and eigenmodes of the system depend on the gyricity of the spinners. In addition, we present a transient numerical simulation that shows how a gyroscopic spinner attached to the end of a hinged beam can be used as a ‘stabilizer’, reducing the displacements of the beam. We also discuss the dispersive properties of an infinite periodic system of beams with gyroscopic spinners at the junctions. In particular, we investigate how the band-gaps of the structure can be tuned by varying the gyricity of the spinners. This article is part of the theme issue ‘Modelling of dynamic phenomena and localization in structured media (part 1)’.
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spelling pubmed-67323762019-09-11 Flexural vibration systems with gyroscopic spinners Carta, G. Nieves, M. J. Jones, I. S. Movchan, N. V. Movchan, A. B. Philos Trans A Math Phys Eng Sci Articles In this paper, we study the spectral properties of a finite system of flexural elements connected by gyroscopic spinners. We determine how the eigenfrequencies and eigenmodes of the system depend on the gyricity of the spinners. In addition, we present a transient numerical simulation that shows how a gyroscopic spinner attached to the end of a hinged beam can be used as a ‘stabilizer’, reducing the displacements of the beam. We also discuss the dispersive properties of an infinite periodic system of beams with gyroscopic spinners at the junctions. In particular, we investigate how the band-gaps of the structure can be tuned by varying the gyricity of the spinners. This article is part of the theme issue ‘Modelling of dynamic phenomena and localization in structured media (part 1)’. The Royal Society Publishing 2019-10-21 2019-09-02 /pmc/articles/PMC6732376/ /pubmed/31474205 http://dx.doi.org/10.1098/rsta.2019.0154 Text en © 2019 The Authors. http://creativecommons.org/licenses/by/4.0/ Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
spellingShingle Articles
Carta, G.
Nieves, M. J.
Jones, I. S.
Movchan, N. V.
Movchan, A. B.
Flexural vibration systems with gyroscopic spinners
title Flexural vibration systems with gyroscopic spinners
title_full Flexural vibration systems with gyroscopic spinners
title_fullStr Flexural vibration systems with gyroscopic spinners
title_full_unstemmed Flexural vibration systems with gyroscopic spinners
title_short Flexural vibration systems with gyroscopic spinners
title_sort flexural vibration systems with gyroscopic spinners
topic Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6732376/
https://www.ncbi.nlm.nih.gov/pubmed/31474205
http://dx.doi.org/10.1098/rsta.2019.0154
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