Vibrations and elastic waves in chiral multi-structures

Nieves, M.J.; Carta, G.; Jones, I.S.; Movchan, A.B.; Movchan, N.V.

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.

Citation

Nieves, M. J., Carta, G., Jones, I. S., Movchan, A. B., & Movchan, N. V. (2018). Vibrations and elastic waves in chiral multi-structures. Journal of the Mechanics and Physics of Solids, 387-408. https://doi.org/10.1016/j.jmps.2018.07.020

• 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
• Public URL: https://keele-repository.worktribe.com/output/411565
• Publisher URL: http://www.sciencedirect.com/science/article/pii/S0022509618303570