Vibrations and elastic waves in chiral multi-structures. (December 2018)

• Record Type: Journal Article
• Authors: Nieves, M.J.; Carta, G.; Jones, I.S.; Movchan, A.B.; Movchan, N.V.
• Is Part Of: Journal of the mechanics and physics of solids. Volume 121(2018)
• Page Start: 387
• Page End: 408
• Publication Date: 2018-12
• Subjects: Mechanics, Applied -- Periodicals; Solids -- Periodicals; Mechanics -- Periodicals; Mécanique appliquée -- Périodiques; Solides -- Périodiques; Mechanics, Applied; Solids; Periodicals; 531.05
• DOI: 10.1016/j.jmps.2018.07.020
• Languages: English
• ISSNs: 0022-5096

Abstract

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.