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Effect of variable axial force on the vibration of a thin beam subjected to moving concentrated loads

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Main Authors: Peter, O. Olatunji, Afolabi, G. Ariwayo
Other Authors: peter.olatunji@aaua.edu.ng
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2023
Subjects:
Axial Force
Beam
Concentrated loads
Foundation modulus
Galerkin’s method
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77690
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spelling my.unimap-776902023-01-24T12:43:12Z Effect of variable axial force on the vibration of a thin beam subjected to moving concentrated loads Peter, O. Olatunji Peter, O. Olatunji Afolabi, G. Ariwayo peter.olatunji@aaua.edu.ng Department of Mathematical Sciences, Adekunle Ajasin University, P. M. B. 001 Akungba Akoko, Ondo State, Nigeria Axial Force Beam Concentrated loads Foundation modulus Galerkin’s method Link to publisher's homepage at https://amci.unimap.edu.my/ The effect of variable axial force on a loaded beam subjected to both constant and variable loads are considered herein. The beam is assumed to be uniform, thin, and has a simple support at both ends. The constant load moves with constant velocity and uniform acceleration. The Galerkin’s method and the integral transformation method are employed in solving the fourth order partial differential equation describing the motion of the beam – load system. On solving, results show that, increase in the values of axial force gives a significant reduction in the deflection profile of the vibrating beam. Results also show that the addition of the axial force , foundation modulus , and consideration of a damping effect in the governing equation increases the critical velocity of the dynamical system, thus, the risk of resonance is reduced. 2023-01-24T12:43:12Z 2023-01-24T12:43:12Z 2022-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.11(1), 2022, pages 217-230 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77690 https://amci.unimap.edu.my/ en Institute of Engineering Mathematics, Universiti Malaysia Perlis
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Axial Force
Beam
Concentrated loads
Foundation modulus
Galerkin’s method
spellingShingle Axial Force
Beam
Concentrated loads
Foundation modulus
Galerkin’s method
Peter, O. Olatunji
Peter, O. Olatunji
Afolabi, G. Ariwayo
Effect of variable axial force on the vibration of a thin beam subjected to moving concentrated loads
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 peter.olatunji@aaua.edu.ng
author_facet peter.olatunji@aaua.edu.ng
Peter, O. Olatunji
Peter, O. Olatunji
Afolabi, G. Ariwayo
format Article
author Peter, O. Olatunji
Peter, O. Olatunji
Afolabi, G. Ariwayo
author_sort Peter, O. Olatunji
title Effect of variable axial force on the vibration of a thin beam subjected to moving concentrated loads
title_short Effect of variable axial force on the vibration of a thin beam subjected to moving concentrated loads
title_full Effect of variable axial force on the vibration of a thin beam subjected to moving concentrated loads
title_fullStr Effect of variable axial force on the vibration of a thin beam subjected to moving concentrated loads
title_full_unstemmed Effect of variable axial force on the vibration of a thin beam subjected to moving concentrated loads
title_sort effect of variable axial force on the vibration of a thin beam subjected to moving concentrated loads
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2023
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77690
_version_ 1772813097250062336
score 13.211869

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