Vibrations and elastic waves in chiral multi-structures

Nieves

doi:10.1016/j.jmps.2018.07.020

Vibrations and elastic waves in chiral multi-structures

Nieves

Authors

Michael Nieves m.nieves@keele.ac.uk

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.

Acceptance Date	Jul 27, 2018
Publication Date	Dec 1, 2018
Journal	Journal of the Mechanics and Physics of Solids
Print ISSN	0022-5096
Publisher	Elsevier
Pages	387-408
DOI	https://doi.org/10.1016/j.jmps.2018.07.020
Publisher URL	http://www.sciencedirect.com/science/article/pii/S0022509618303570