Influence of fractional viscoelastic connecting layers on the response of a beam-mass array exposed to motion of supports

Abstract

Herein the dynamic response of a system of fractional viscoelastic beams embedded in fractional viscoelastic medium and excited by motion of their supports is analysed, and the influence of properties of the connecting medium, modelled as a set of connecting layers, on the system behaviour is investigated. First, the approximate solution to the problem is obtained through the use of the Galerkin discretisation, impulse response method, Fourier transform and Residue theory, and then it is applied to analyse, both qualitatively and quantitatively, the influence of fractional-order derivative model parameters on the dynamic properties of beam arrays.