Analytical Solution for the Free Vibration Analysis of Delaminated Timoshenko Beams

This work presents a method to find the exact solutions for the free vibration analysis of a delaminated beam based on the Timoshenko type with different boundary conditions. The solutions are obtained by the method of Lagrange multipliers in which the free vibration problem is posed as a constraine...

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Detalles Bibliográficos
Autores principales: Jafari-Talookolaei, Ramazan-Ali, Abedi, Maryam
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3915553/
https://www.ncbi.nlm.nih.gov/pubmed/24574879
http://dx.doi.org/10.1155/2014/280256
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author Jafari-Talookolaei, Ramazan-Ali
Abedi, Maryam
author_facet Jafari-Talookolaei, Ramazan-Ali
Abedi, Maryam
author_sort Jafari-Talookolaei, Ramazan-Ali
collection PubMed
description This work presents a method to find the exact solutions for the free vibration analysis of a delaminated beam based on the Timoshenko type with different boundary conditions. The solutions are obtained by the method of Lagrange multipliers in which the free vibration problem is posed as a constrained variational problem. The Legendre orthogonal polynomials are used as the beam eigenfunctions. Natural frequencies and mode shapes of various Timoshenko beams are presented to demonstrate the efficiency of the methodology.
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spelling pubmed-39155532014-02-26 Analytical Solution for the Free Vibration Analysis of Delaminated Timoshenko Beams Jafari-Talookolaei, Ramazan-Ali Abedi, Maryam ScientificWorldJournal Research Article This work presents a method to find the exact solutions for the free vibration analysis of a delaminated beam based on the Timoshenko type with different boundary conditions. The solutions are obtained by the method of Lagrange multipliers in which the free vibration problem is posed as a constrained variational problem. The Legendre orthogonal polynomials are used as the beam eigenfunctions. Natural frequencies and mode shapes of various Timoshenko beams are presented to demonstrate the efficiency of the methodology. Hindawi Publishing Corporation 2014-01-19 /pmc/articles/PMC3915553/ /pubmed/24574879 http://dx.doi.org/10.1155/2014/280256 Text en Copyright © 2014 R.-A. Jafari-Talookolaei and M. Abedi. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Jafari-Talookolaei, Ramazan-Ali
Abedi, Maryam
Analytical Solution for the Free Vibration Analysis of Delaminated Timoshenko Beams
title Analytical Solution for the Free Vibration Analysis of Delaminated Timoshenko Beams
title_full Analytical Solution for the Free Vibration Analysis of Delaminated Timoshenko Beams
title_fullStr Analytical Solution for the Free Vibration Analysis of Delaminated Timoshenko Beams
title_full_unstemmed Analytical Solution for the Free Vibration Analysis of Delaminated Timoshenko Beams
title_short Analytical Solution for the Free Vibration Analysis of Delaminated Timoshenko Beams
title_sort analytical solution for the free vibration analysis of delaminated timoshenko beams
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3915553/
https://www.ncbi.nlm.nih.gov/pubmed/24574879
http://dx.doi.org/10.1155/2014/280256
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