This article is made freely available as part of this journal's Open Access: ID | Segun ManuscriptRef.1-ajiras231116 |

Affiliation.

1. Ekiti State University | Department of Mathematical Science |Ado-Ekiti | Nigeria |
*Correspondant author and authors Copyright © 2017:

     | Ogunyebi Segun Nathaniel 1,* |

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American Journal of Innovative Research & Applied Sciences
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  | ARTICLES | Am. J. innov. res. appl. sci. Volume 4,  Issue 2, Pages 52-56 (February 2016)

American Journal of innovative
Research & Applied Sciences 
ISSN  2429-5396 (Online)
OCLC Number: 920041286
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ABSTRACT

Background: The dynamic analysis of beams resting on elastic foundation is one of the important topics in engineering and applied Mathematics and is a subject of investigation for many decades. Objectives: The specific aim of this paper is to find the analytical solutions to the governing fourth order partial differential equation that involves the variable elastic subgrade and variable magnitude distributed load on the system. Methods: Use is made of the elegant method of Galerkin and convolution theory. Results: From the analytical and numerical solutions, as the variable elastic foundation, damping, and axial force increases, the response amplitudes of thin beam under the action of harmonic varying distributed loads with constant velocity decreases and are displayed in the form of plots. Conclusions: The analytical solutions to the governing fourth order partial differential equation for thin beam is solved and the dynamic effects of some vital parameters are discussed.
Keywords: Harmonic loads, Variable subgrade, Thin beam, Simply supported, Axial force.
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Research Article
   RESPONSE OF BEAM TO VARIABLE ELASTIC SUBGRADE SUBJECTED TO A DISTRIBUTED HARMONIC LOADING CONDITION

     | Ogunyebi Segun Nathaniel 1,* |
. A
m. J. innov. res. appl. sci. 2017; 4(2):59-63.
  
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|Received | 23 November 2016|               |Accepted | 27 December 2016|               |Published 08 March 2017 |