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American Journal of Innovative Research & Applied Sciences
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| | ARTICLES | Am. J. innov. res. appl. sci. Volume 5, Issue 1, Pages 77-87 (July 2017) |
| Research Article |
American Journal of innovative
Research & Applied Sciences
Research & Applied Sciences
ISSN 2429-5396 (Online)
OCLC Number: 920041286
OCLC Number: 920041286
|
| JULY | VOLUME 5 | N° 1 | 2017 |
Authors Contact
*Correspondant author and authors Copyright © 2017:
| Alimi Adedowole 1* | and | Kayode Samuel Famuagun 2 |.
| Alimi Adedowole 1* | and | Kayode Samuel Famuagun 2 |.
Affiliation.
1. Adekunle Ajasin University | Department of Mathematical Sciences | Akungba-Akoko | Nigeria |
2. Adeyemi College of Education | Department of Mathematics| Ondo | Nigeria |
1. Adekunle Ajasin University | Department of Mathematical Sciences | Akungba-Akoko | Nigeria |
2. Adeyemi College of Education | Department of Mathematics| Ondo | Nigeria |
This article is made freely available as part of this journal's Open Access: ID | Alimi-ManuscriptRef.2-ajira200617 |
INFLUENCE OF EXPONENTIALLY DECAYING FOUNDATION ON THE RESPONSE OF NON-UNIFORM BEAMS UNDER UNIFORMLY DISTRIBUTED LOAD
| Alimi Adedowole 1* | and | Kayode Samuel Famuagun 2 |. Am. J. innov. res. appl. sci. 2017; 5(1):77-87.
| PDF FULL TEXT | |Received | 20 June 2017| |Accepted | 07 July 2017| |Published 10 July 2017 |
| Alimi Adedowole 1* | and | Kayode Samuel Famuagun 2 |. Am. J. innov. res. appl. sci. 2017; 5(1):77-87.
| PDF FULL TEXT | |Received | 20 June 2017| |Accepted | 07 July 2017| |Published 10 July 2017 |
ABSTRACT
Background: Flexural vibration of structural elements subjected to moving loads is a topic that attracts the attentions of researchers in field of Engineering and Mathematical Physics. Objectives: To obtain analytical solutions of the governing fourth order partial differential equation and establish the resonance conditions for moving distributed loads. Methods: The technique is based on the generalized Galerkin’s method and integral transform. Results: Analyses show that the higher values of the foundation modulli decrease the transverse deflections of the non-uniform Bernoulli-Fuler beam. Conclusions: The analytical solution for the non uniform is solved, the effect of exponential decaying foundation and resonance condition are determined.
Keywords: exponentially decaying foundation, non-uniform beam, distributed loads, vibrating system, differential equation.
Background: Flexural vibration of structural elements subjected to moving loads is a topic that attracts the attentions of researchers in field of Engineering and Mathematical Physics. Objectives: To obtain analytical solutions of the governing fourth order partial differential equation and establish the resonance conditions for moving distributed loads. Methods: The technique is based on the generalized Galerkin’s method and integral transform. Results: Analyses show that the higher values of the foundation modulli decrease the transverse deflections of the non-uniform Bernoulli-Fuler beam. Conclusions: The analytical solution for the non uniform is solved, the effect of exponential decaying foundation and resonance condition are determined.
Keywords: exponentially decaying foundation, non-uniform beam, distributed loads, vibrating system, differential equation.