Vibrations and elastic waves in chiral multi-structures

TL;DR

This paper introduces a new asymptotic model for the dynamic interaction in chiral multi-structures involving elastic beams and gyroscopic spinners, providing effective boundary conditions and analyzing wave behavior.

Contribution

It develops a novel asymptotic framework and effective boundary conditions for elastic structures coupled with gyroscopic spinners, advancing understanding of chiral multi-structures.

Findings

Derived effective chiral boundary conditions for elastic-beam and spinner interaction

Analyzed wave propagation in gyroscopic spinner-connected beam systems

Provided numerical simulations illustrating theoretical results

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.