Vibration analysis of a rotating closed section composite Timoshenko beam by using differential transform method

Vibration analysis of a rotating closed section composite Timoshenko beam by using differential transform method

This study introduces the Differential Transform Method (DTM) to analyse the free vibration response of a rotating, closed section, composite, Timoshenko beam which features material coupling between flapwise bending and torsional vibrations due to ply orientation. The governing differential equatio...

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Main Authors: Saeed Talebi, Hamed Uosofvand, Alireza Ariaei
Format: Article
Language:English
Published: Shahid Chamran University of Ahvaz 2015-07-01
Series:Journal of Applied and Computational Mechanics
Online Access:http://jacm.scu.ac.ir/article_11256.html
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spelling doaj-322fd67f9a654a8eaa58bce9c272651d2020-11-24T22:33:23ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362015-07-011410.22055/jacm.2015.11256Vibration analysis of a rotating closed section composite Timoshenko beam by using differential transform methodSaeed TalebiHamed UosofvandAlireza AriaeiThis study introduces the Differential Transform Method (DTM) to analyse the free vibration response of a rotating, closed section, composite, Timoshenko beam which features material coupling between flapwise bending and torsional vibrations due to ply orientation. The governing differential equations of motion are derived using Hamilton’s principle and solved by applying DTM. The natural frequencies are calculated and the effects of the bending-torsion coupling, the slenderness ratio and several other parameters on the natural frequencies are investigated using the computer package, Mathematica. Wherever possible, comparisons are made with the studies in open literature.http://jacm.scu.ac.ir/article_11256.html
collection DOAJ
language English
format Article
sources DOAJ
author Saeed Talebi
Hamed Uosofvand
Alireza Ariaei
spellingShingle Saeed Talebi
Hamed Uosofvand
Alireza Ariaei
Vibration analysis of a rotating closed section composite Timoshenko beam by using differential transform method
Journal of Applied and Computational Mechanics
author_facet Saeed Talebi
Hamed Uosofvand
Alireza Ariaei
author_sort Saeed Talebi
title Vibration analysis of a rotating closed section composite Timoshenko beam by using differential transform method
title_short Vibration analysis of a rotating closed section composite Timoshenko beam by using differential transform method
title_full Vibration analysis of a rotating closed section composite Timoshenko beam by using differential transform method
title_fullStr Vibration analysis of a rotating closed section composite Timoshenko beam by using differential transform method
title_full_unstemmed Vibration analysis of a rotating closed section composite Timoshenko beam by using differential transform method
title_sort vibration analysis of a rotating closed section composite timoshenko beam by using differential transform method
publisher Shahid Chamran University of Ahvaz
series Journal of Applied and Computational Mechanics
issn 2383-4536
2383-4536
publishDate 2015-07-01
description This study introduces the Differential Transform Method (DTM) to analyse the free vibration response of a rotating, closed section, composite, Timoshenko beam which features material coupling between flapwise bending and torsional vibrations due to ply orientation. The governing differential equations of motion are derived using Hamilton’s principle and solved by applying DTM. The natural frequencies are calculated and the effects of the bending-torsion coupling, the slenderness ratio and several other parameters on the natural frequencies are investigated using the computer package, Mathematica. Wherever possible, comparisons are made with the studies in open literature.
url http://jacm.scu.ac.ir/article_11256.html
work_keys_str_mv AT saeedtalebi vibrationanalysisofarotatingclosedsectioncompositetimoshenkobeambyusingdifferentialtransformmethod
AT hameduosofvand vibrationanalysisofarotatingclosedsectioncompositetimoshenkobeambyusingdifferentialtransformmethod
AT alirezaariaei vibrationanalysisofarotatingclosedsectioncompositetimoshenkobeambyusingdifferentialtransformmethod
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