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
Abstract :
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
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
