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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 4, Pages 136-143 (Abril 2017) |
American Journal of innovative
Research & Applied Sciences
Research & Applied Sciences
ISSN 2429-5396 (Online)
OCLC Number: 920041286
OCLC Number: 920041286
|
| APRIL | VOLUME 4 | N° 4 | 2017 |
ABSTRACT
Background: Structural members (Beam and plate) play significant roles in the construction of highway bridges and railroads, hence he need to assess the dynamic behavior of these element has attracted various researchers in the field of Mathematical Physics and Engineering especially when they are subjected to moving concentrated and moving distributed masses. Objectives: The specific objective of this present work is to obtain analytical solutions to the non-homogeneous fourth order partial differential equation governing simply supported Rayleigh Beam with an accelerating distributed mass on elastic foundation. Methods: The technique adopted for the uniform forced vibration of Rayleigh beam with accelerating mass resting on variable elastic foundation at constant velocity is Fourier sine transforms and Laplace transformation for the analytical solutions. Results: The dynamic effects of vital parameters such as elastic foundation, rotatory inertia correction factor, axial force, distance and load parameters were obtained. Conclusions: Solutions to the uniform forced transverse vibration of Rayleigh beam with an accelerating distributed mass is given and the information about the vital parameters are presented.
Keywords: Axial force, Accelerating mass, Elastic foundation, Response, Rayleigh beam.
Background: Structural members (Beam and plate) play significant roles in the construction of highway bridges and railroads, hence he need to assess the dynamic behavior of these element has attracted various researchers in the field of Mathematical Physics and Engineering especially when they are subjected to moving concentrated and moving distributed masses. Objectives: The specific objective of this present work is to obtain analytical solutions to the non-homogeneous fourth order partial differential equation governing simply supported Rayleigh Beam with an accelerating distributed mass on elastic foundation. Methods: The technique adopted for the uniform forced vibration of Rayleigh beam with accelerating mass resting on variable elastic foundation at constant velocity is Fourier sine transforms and Laplace transformation for the analytical solutions. Results: The dynamic effects of vital parameters such as elastic foundation, rotatory inertia correction factor, axial force, distance and load parameters were obtained. Conclusions: Solutions to the uniform forced transverse vibration of Rayleigh beam with an accelerating distributed mass is given and the information about the vital parameters are presented.
Keywords: Axial force, Accelerating mass, Elastic foundation, Response, Rayleigh beam.
*Correspondant author and authors Copyright © 2017:
| Ogunyebi Segun Nathaniel 1* | and | Adedowole Alimi 2 |
| Ogunyebi Segun Nathaniel 1* | and | Adedowole Alimi 2 |
Authors Contact
Affiliation.
1. Ekiti State University | Department of Mathematics | Ado Ekiti, Nigeria |
2. Adekunle Ajasin University| Department of Mathematical University | Akungba-Akoko, Nigeria |
1. Ekiti State University | Department of Mathematics | Ado Ekiti, Nigeria |
2. Adekunle Ajasin University| Department of Mathematical University | Akungba-Akoko, Nigeria |
This article is made freely available as part of this journal's Open Access: ID | Segun-ManuscriptRef.1-ajira080317 |
| ISSN: 2429-5396 (e) | www.american-jiras.com | |
| Web Site Form: v 0.1.05 | JF 22 Cours, Wellington le Clairval, Lillebonne | France |
| Web Site Form: v 0.1.05 | JF 22 Cours, Wellington le Clairval, Lillebonne | France |
Research Article
ON THE DYNAMIC BEHAVIOR OF UNIFORM RAYLEIGH BEAM WITH AN ACCELERATING DISTRIBUTED MASS
| Ogunyebi Segun Nathaniel | and | Adedowole Alimi |. Am. J. innov. res. appl. sci. 2017; 4(4):136-143.
| PDF FULL TEXT | |Received | 08 March 2017 | | Accepted | 15 April 2017 | | Published 22 April 2017 |
ON THE DYNAMIC BEHAVIOR OF UNIFORM RAYLEIGH BEAM WITH AN ACCELERATING DISTRIBUTED MASS
| Ogunyebi Segun Nathaniel | and | Adedowole Alimi |. Am. J. innov. res. appl. sci. 2017; 4(4):136-143.
| PDF FULL TEXT | |Received | 08 March 2017 | | Accepted | 15 April 2017 | | Published 22 April 2017 |