Effect of Gravity on the Dispersion and Wave Localisation in Gyroscopic Elastic Systems

Kandiah, A ORCID: 0000-0003-1983-7225, Jones, IS ORCID: 0000-0002-5226-0053, Movchan, NV ORCID: 0000-0001-9166-1952 and Movchan, AB (2023) Effect of Gravity on the Dispersion and Wave Localisation in Gyroscopic Elastic Systems. In: Advanced Structured Materials. Advanced Structured Materials, 195 . Springer International Publishing, pp. 219-274. ISBN 9783031287435

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Abstract

This paper presents new work on gravity-induced wave motion of gyroscopic systems composed of gyropendulums connected by elastic springs. Classification of trajectories of a single gyropendulum is given, followed by the Floquet-Bloch analysis of the dispersion and localisation for waves within a periodic gyroscopic chain. We construct Green’s matrices to identify regimes of propagating modes and wave localisation, which correspond to elliptical motions of the nodal elements. The waveforms subjected to gravity for localised defect modes are discussed in addition to the effect of no pre-tension along the chiral chain. The analytical results are accompanied by illustrative examples.

Item Type:	Book Section
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	16 Jan 2024 09:19
Last Modified:	14 Mar 2024 21:42
DOI:	10.1007/978-3-031-28744-2_11
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3177854