Free Vibration of Simply Supported Beam on Elastic Foundations
Fourier series and finite element analysis are utilized to obtain the solution of simply supported beams resting on elastic foundations with different loadings in order to arrive at a free vibration. The equation of the free vibration of beam on elastic foundation is derived and solved. Good agreem...
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Al-Nahrain Journal for Engineering Sciences
2017-03-01
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doaj-47f5a7596c154a7eaab43e8fed4f2b212021-02-02T17:59:54ZengAl-Nahrain Journal for Engineering Sciencesمجلة النهرين للعلوم الهندسية2521-91542521-91622017-03-01202114Free Vibration of Simply Supported Beam on Elastic FoundationsAdel A. Al-Azzawi0Civil Engineering Department, College of Engineering, Al-Nahrain University Fourier series and finite element analysis are utilized to obtain the solution of simply supported beams resting on elastic foundations with different loadings in order to arrive at a free vibration. The equation of the free vibration of beam on elastic foundation is derived and solved. Good agreement has been obtained between the results of the present study Fourier and finite element analysis and other previous solutions. The effect of modulus of subgrade reaction, axial tension force (foundation modulus) and beam depth on the behavior is studied. https://nahje.com/index.php/main/article/view/114Beamselastic foundationfree vibrationsimply supported |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Adel A. Al-Azzawi |
spellingShingle |
Adel A. Al-Azzawi Free Vibration of Simply Supported Beam on Elastic Foundations مجلة النهرين للعلوم الهندسية Beams elastic foundation free vibration simply supported |
author_facet |
Adel A. Al-Azzawi |
author_sort |
Adel A. Al-Azzawi |
title |
Free Vibration of Simply Supported Beam on Elastic Foundations |
title_short |
Free Vibration of Simply Supported Beam on Elastic Foundations |
title_full |
Free Vibration of Simply Supported Beam on Elastic Foundations |
title_fullStr |
Free Vibration of Simply Supported Beam on Elastic Foundations |
title_full_unstemmed |
Free Vibration of Simply Supported Beam on Elastic Foundations |
title_sort |
free vibration of simply supported beam on elastic foundations |
publisher |
Al-Nahrain Journal for Engineering Sciences |
series |
مجلة النهرين للعلوم الهندسية |
issn |
2521-9154 2521-9162 |
publishDate |
2017-03-01 |
description |
Fourier series and finite element analysis are utilized to obtain the solution of simply supported beams resting on elastic foundations with different loadings in order to arrive at a free vibration. The equation of the free vibration of beam on elastic foundation is derived and solved. Good agreement has been obtained between the results of the present study Fourier and finite element analysis and other previous solutions. The effect of modulus of subgrade reaction, axial tension force (foundation modulus) and beam depth on the behavior is studied.
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topic |
Beams elastic foundation free vibration simply supported |
url |
https://nahje.com/index.php/main/article/view/114 |
work_keys_str_mv |
AT adelaalazzawi freevibrationofsimplysupportedbeamonelasticfoundations |
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1724292477559504896 |