Series Solution of Euler-Bernoulli Beam Subjected to Concentrated Load Using Homotopy Perturbation Method (HPM)


Authors : MUSTAPHA Rilwan Adewale; SALAU Ayobami Muhammed

Volume/Issue : Volume 6 - 2021, Issue 1 - January

Google Scholar : http://bitly.ws/9nMw

Scribd : https://bit.ly/3n4xuNJ

This research work investigates the series solution of Euler-Bernoulli beam subjected to concentrated loads by employing Homotopy Perturbation Method (HPM). The governing partial differential equation was transformed into ordinary differential equation via Galerkin’s Decomposition Procedure (GDP), the resulting ordinary differential equation was solved semi-analytically by employing HPM. Graphical representation of various deflections of the beam with respect to varing parameters were presented.

Keywords : Euler-Bernoulli beam, beam, Load, series solution, Concentrated Load, Galerkin’s Decomposition Procedure (GDP), Homotopy Perturbation

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