Electronic Supplementary Material for the paper A. Kandiah, I. S. Jones, N. V. Movchan, A. B. Movchan, Effect of Gravity on the Dispersion and Wave Localisation in Gyroscopic Elastic Systems. In: Mechanics of Heterogeneous Materials, Chapter 11, 2023. DOI : 10.1007/978-3-031-28744-2_11

Kandiah, Alessio ORCID: https://orcid.org/0000-0003-1983-7225 (2023) Electronic Supplementary Material for the paper A. Kandiah, I. S. Jones, N. V. Movchan, A. B. Movchan, Effect of Gravity on the Dispersion and Wave Localisation in Gyroscopic Elastic Systems. In: Mechanics of Heterogeneous Materials, Chapter 11, 2023. DOI : 10.1007/978-3-031-28744-2_11. [Data Collection]

Data Catalogue DOI: 10.17638/datacat.liverpool.ac.uk/2213

Original publication URL: https://link.springer.com/book/9783031287435

Description

The electronic supplementary material provides videos illustrating the waveforms associated with the gyroscopic periodic waveguides. The 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.

Keywords:

Floquet-Bloch waves, chiral elastic waveguides

Divisions:

Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences

Depositing User:

Alessio Kandiah

Date Deposited:

18 Apr 2023 17:10

Last Modified:

18 Apr 2023 17:10

DOI:

10.17638/datacat.liverpool.ac.uk/2213