THE SOLUTION OF BEAM DEFORMATION EQUATION USING HOMOTOPY PERTURBATION METHOD

One of the responsibilities of the structural design engineer is to devise arrangements and proportions of members that can withstand, economically and efficiently, the conditions anticipated during the lifetime of a structure. A central aspect of this function is the calculation of the beam deformation, which has very wide applications in structural engineering. In this paper, the governing second order differential equation of beam deformation is solved with approximate analytical method, namely the Homotopy Perturbation Method (HPM). The comparisons of the results reveal that HPM is very effective, convenient and quite accurate to systems of non-linear differential equation