DYNAMIC RESPONSE OF RAYLEIGH BEAM ON WINKLER FOUNDATION SUBJECTED TO PARTIALLY DISTRIBUTED MOVING LOAD

M. A. Usman; F. A. Hammed; Z. O. Ogunwobi; S. T. Okusaga

M. A. Usman Department of Mathematical Sciences, Olabisi Onabanjo University, Ago Iwoye
F. A. Hammed Department of Mathematical Sciences, Olabisi Onabanjo University, Ago Iwoye
Z. O. Ogunwobi Department of Mathematical Sciences, Olabisi Onabanjo University, Ago Iwoye
S. T. Okusaga Department of Mathematical Sciences, Olabisi Onabanjo University, Ago Iwoye

Keywords: Amplitude, Axial force, Concentrated load, Euler-Bernoulli Beam, Finite Difference Method

Abstract

Dynamic response of Euler-Bernoulli beam subjected to concentrated moving load was investigated in this paper. The governing equation of fourth order partial differential equation was reduced to an ordinary differential equation using Series solution. The reduced second order differential equation was then solved using finite difference method. Numerical result was presented and it is found that the dynamic response of the beam initially moves in a steady state before deflecting and the deflected amplitude increases as the axial force, distance covered by the load, Mass of the load, speed at which the load moves increases but decreases as the length of the load, coefficient of the foundation increases. This study also conclude that R0 has no/little effects on the structure of the beam.