Michael Nieves m.nieves@keele.ac.uk
Vibrations and elastic waves in chiral multi-structures
Nieves
Authors
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 |
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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 |
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Publisher Licence URL
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