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Flexural vibration systems with gyroscopic spinners.

Nieves

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Abstract

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)'.

Acceptance Date May 1, 2019
Publication Date Oct 21, 2019
Journal Philosophical Transactions A: Mathematical, Physical and Engineering Sciences
Print ISSN 1364-503X
Publisher The Royal Society
Pages 20190154 - ?
DOI https://doi.org/10.1098/rsta.2019.0154
Keywords chirality; gyroscopic spinners; dispersion; flexural waves; gyrobeam
Publisher URL https://royalsocietypublishing.org/doi/10.1098/rsta.2019.0154

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