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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Main Author: Adel A. Al-Azzawi
Format: Article
Language:English
Published: Al-Nahrain Journal for Engineering Sciences 2017-03-01
Series:مجلة النهرين للعلوم الهندسية
Subjects:
Online Access:https://nahje.com/index.php/main/article/view/114
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spelling 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.
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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