Vibration analysis of structural elements using differential quadrature method

The method of differential quadrature is employed to analyze the free vibration of a cracked cantilever beam resting on elastic foundation. The beam is made of a functionally graded material and rests on a Winkler–Pasternak foundation. The crack action is simulated by a line spring model. Also, the...

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Detalles Bibliográficos
Autores principales: Nassar, Mohamed, Matbuly, Mohamed S., Ragb, Ola
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2013
Materias:
Original Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4195457/
https://www.ncbi.nlm.nih.gov/pubmed/25685406
http://dx.doi.org/10.1016/j.jare.2012.01.009
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author Nassar, Mohamed
Matbuly, Mohamed S.
Ragb, Ola
author_facet Nassar, Mohamed
Matbuly, Mohamed S.
Ragb, Ola
author_sort Nassar, Mohamed
collection PubMed
description The method of differential quadrature is employed to analyze the free vibration of a cracked cantilever beam resting on elastic foundation. The beam is made of a functionally graded material and rests on a Winkler–Pasternak foundation. The crack action is simulated by a line spring model. Also, the differential quadrature method with a geometric mapping are applied to study the free vibration of irregular plates. The obtained results agreed with the previous studies in the literature. Further, a parametric study is introduced to investigate the effects of geometric and elastic characteristics of the problem on the natural frequencies.
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spelling pubmed-41954572015-02-14 Vibration analysis of structural elements using differential quadrature method Nassar, Mohamed Matbuly, Mohamed S. Ragb, Ola J Adv Res Original Article The method of differential quadrature is employed to analyze the free vibration of a cracked cantilever beam resting on elastic foundation. The beam is made of a functionally graded material and rests on a Winkler–Pasternak foundation. The crack action is simulated by a line spring model. Also, the differential quadrature method with a geometric mapping are applied to study the free vibration of irregular plates. The obtained results agreed with the previous studies in the literature. Further, a parametric study is introduced to investigate the effects of geometric and elastic characteristics of the problem on the natural frequencies. Elsevier 2013-01 2012-03-06 /pmc/articles/PMC4195457/ /pubmed/25685406 http://dx.doi.org/10.1016/j.jare.2012.01.009 Text en © 2012 Cairo University. Production and hosting by Elsevier B.V. All rights reserved. http://creativecommons.org/licenses/by-nc-nd/3.0/ This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/3.0/).
spellingShingle Original Article
Nassar, Mohamed
Matbuly, Mohamed S.
Ragb, Ola
Vibration analysis of structural elements using differential quadrature method
title Vibration analysis of structural elements using differential quadrature method
title_full Vibration analysis of structural elements using differential quadrature method
title_fullStr Vibration analysis of structural elements using differential quadrature method
title_full_unstemmed Vibration analysis of structural elements using differential quadrature method
title_short Vibration analysis of structural elements using differential quadrature method
title_sort vibration analysis of structural elements using differential quadrature method
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4195457/
https://www.ncbi.nlm.nih.gov/pubmed/25685406
http://dx.doi.org/10.1016/j.jare.2012.01.009
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