Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11004047 | Journal of the Mechanics and Physics of Solids | 2018 | 35 Pages |
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.
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Authors
M.J. Nieves, G. Carta, I.S. Jones, A.B. Movchan, N.V. Movchan,