Vibrations and elastic waves in chiral multi-structures
Classical Physics
2018-09-26 v1
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.
Cite
@article{arxiv.1805.01170,
title = {Vibrations and elastic waves in chiral multi-structures},
author = {Michael Nieves and Giorgio Carta and Ian Jones and Alexander Movchan and Natasha Movchan},
journal= {arXiv preprint arXiv:1805.01170},
year = {2018}
}
Comments
31 pages, 11 figures