Abstract
Analytical solution for the boundary value problem (BVP) of elastic beams subjected to distributed load was investigated. Based on the study, dynamic application curves are developed for beam deflection. 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 are higher than the system where acceleration of the moving load is negligible. These obtained results are in agreement with the existing results.
Highlights
Most physical and engineering Boundary Value Problem (BVP) can be modelled as functional equations
Analytical solutions for BVPs are always preferable compared to numerical solutions as they are more general and give a better understanding of the model behaviour
The dynamic behaviour of Euler-Bernoulli beam on Winkler foundation subjected to partially distributed moving load is investigated in this study
Summary
Most physical and engineering Boundary Value Problem (BVP) can be modelled as functional equations. Several analytical and numerical methods are being developed to obtain approximate solutions for such models.[1,2] Euler-Bernoulli beam is one of the models which is a distributed load. Analytical solutions for BVPs are always preferable compared to numerical solutions as they are more general and give a better understanding of the model behaviour. Due to great practical importance for technical engineers, the analysis of the dynamic behaviour of beams on elastic foundations has attracted many researchers in the century and has been the object of study by a huge number of researchers until now.[3,4,5,6,7,8,9,10,11,12]
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