Analytical Solution for the Boundary Value Problem of Euler-Bernoulli Beam Subjected to Accelerated Distributed Load

Abstract

The study of dynamic response of beam-like structures to moving or static loads has attracted and still attracting a lot of attention due to its wide range of applications in the construction and transportation industry especially when transverse by travelling masses. Hence, analytical solution for the boundary value problem (BVP) of elastic beams subjected to distributed load was investigated. The partial differential equation of order four were analysed to determine the dynamic response of the elastic beam under consideration and solved analytically. Effects of different parameters such as the mass of the load, the length of the moving load, the distance covered by the moving load, the speed of the moving and the axial force were considered. Result revealed that the values of the deflection with acceleration being considered increases than the system where acceleration of the moving load is negligible.

Free Vibrational Analysis of Non-uniform Double Eulerbernoulli Beams on a Winkler Foundation Using Laplace Differential Transform Method

“…The accuracy of the proposed method was validated through numerical simulations, and the effect of the foundation stiffness and the non-uniformity of the beam on the natural frequencies was investigated. Usman et al (2021aUsman et al ( , 2021b solved the governing equation of the Euler-Bernoulli beam on Winkler support analytically. Ghannadiasl (2021) investigated the free vibration of tapered Euler-Bernoulli beams on Winkler foundations using the Quintic B-spline collocation method.…”