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Vibrations and elastic waves in chiral multi-structures

Nieves, MJ, Carta, G, Jones, IS, Movchan, AB and Movchan, N (2018) Vibrations and elastic waves in chiral multi-structures. Journal of the Mechanics and Physics of Solids, 121. pp. 387-408. ISSN 0022-5096

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Open Access URL: https://doi.org/10.1016/j.jmps.2018.07.020 (Published version)

Abstract

We develop a new asymptotic model of the dynamic interaction between an elastic structure and a system of gyroscopic spinners that make the overall multi-structure chiral. An important result is the derivation and analysis of effective chiral boundary conditions describing the interaction between an elastic beam and a gyroscopic spinner. These conditions are applied to the analysis of waves in systems of beams connected by gyroscopic spinners. A new asymptotic and physical interpretation of the notion of a Rayleigh gyrobeam is also presented. The theoretical findings are accompanied by illustrative numerical examples and simulations.

Item Type: Article
Uncontrolled Keywords: 01 Mathematical Sciences, 02 Physical Sciences, 09 Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TK Electrical engineering. Electronics. Nuclear engineering
Divisions: Maritime and Mechanical Engineering
Publisher: Elsevier
Related URLs:
Date Deposited: 13 Mar 2019 11:49
Last Modified: 13 Mar 2019 11:49
DOI or Identification number: 10.1016/j.jmps.2018.07.020
URI: http://researchonline.ljmu.ac.uk/id/eprint/10310

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