DYNAMICS OF BEAMS ON FILONENKO-BORODICH FOUNDATION

Abstract

This paper is concerned with the dynamic analysis of beams resting on Filonenko-Borodich foundation. The fourth order partial differential equations governing the motion of the Rayleigh beams are transformed into a set of ordinary differential equations that are eventually solved using Galerkin’s method in conjunction with Laplace and convolution theory. Numerical results in plotted curves were presented to determine the vibration characteristics of some pertinent structural parameters. The study also analyses the circumstances under which resonance occur in the dynamical system.