Supplementary material from "Flexural vibration systems with gyroscopic spinners"

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 spinner12s 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)’.