Abstract
In this paper, we study the spectral properties of a finite system of flexural elements connected by gyroscopic spinners. We determine how the eigenfrequencies and eigenmodes of the system depend on the gyricity of the spinners. In addition, we present a transient numerical simulation that shows how a gyroscopic spinner attached to the end of a hinged beam can be used as a ‘stabilizer’, reducing the displacements of the beam. We also discuss the dispersive properties of an infinite periodic system of beams with gyroscopic spinners at the junctions. In particular, we investigate how the band-gaps of the structure can be tuned by varying the gyricity of the spinners.This article is part of the theme issue ‘Modelling of dynamic phenomena and localization in structured media (part 1)’.
Highlights
When gyroscopic spinners are connected to elastic structured solids, they may alter the dynamic properties of these solids
We show how gyroscopic spinners can be implemented in a periodic system supporting flexural waves to stabilize a structure and to tune the filtering properties of the system
We have shown that the spectral properties of a flexural system can be altered significantly by introducing the chirality action produced by gyroscopic spinners
Summary
When gyroscopic spinners are connected to elastic structured solids, they may alter the dynamic properties of these solids. In [8,9], it was shown that the eigenfrequencies of an elastic beam can be tuned by changing the gyricity of the spinner, and that flexural waves are coupled with rotational motion. The analytical values of these double eigenfrequencies agree very well with those obtained from a finite-element model built in Comsol Multiphysics, representing a system of three beams with masses at their junctions having translational inertia m and rotational inertia I0. We investigate how Floquet–Bloch waves propagate in an infinite periodic structure consisting of elastic beams with gyroscopic spinners at the junctions. This structure is shown, where the parameters characterizing the beams and the spinners are indicated.
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call