Vibration Analysis of Thin Plates Resting on Pasternak Foundations by Element free Galerkin Method

The element free Galerkin method is used to analyze free vibration of thin plates resting on Pasternak elastic foundations with all possible types of classical boundary conditions. Convergence of solution is studied by increasing number of nodes for different boundary conditions and foundation param...

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Main Authors: Ehsan Bahmyari, Mohammad Mahdi Banatehrani, Mohammad Ahmadi, Marzieh Bahmyari
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-2012-00746
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author Ehsan Bahmyari
Mohammad Mahdi Banatehrani
Mohammad Ahmadi
Marzieh Bahmyari
author_facet Ehsan Bahmyari
Mohammad Mahdi Banatehrani
Mohammad Ahmadi
Marzieh Bahmyari
author_sort Ehsan Bahmyari
collection DOAJ
description The element free Galerkin method is used to analyze free vibration of thin plates resting on Pasternak elastic foundations with all possible types of classical boundary conditions. Convergence of solution is studied by increasing number of nodes for different boundary conditions and foundation parameters. Upon comparison with available results in literature, it was found that the method converges very fast and has very good accuracy even with small number of nodes. Applicability of the method was shown by solving numerical examples with all possible combinations of boundary conditions and different values of foundation parameters.
format Article
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institution Kabale University
issn 1070-9622
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-6f40d925ff154b4183cddfa4a48dce5d2025-02-03T01:07:51ZengWileyShock and Vibration1070-96221875-92032013-01-0120230932610.3233/SAV-2012-00746Vibration Analysis of Thin Plates Resting on Pasternak Foundations by Element free Galerkin MethodEhsan Bahmyari0Mohammad Mahdi Banatehrani1Mohammad Ahmadi2Marzieh Bahmyari3Department of Marine Technology, Amirkabir University of Technology, Tehran, IranInstitute for Aerospace Studies, University of Toronto, Toronto, ON, CanadaDepartment of Mechanical Engineering, Shahid Chamran University of Ahwaz, Khuzestan, IranDepartment of Mathematics, Persian Gulf University, Bushehr, IranThe element free Galerkin method is used to analyze free vibration of thin plates resting on Pasternak elastic foundations with all possible types of classical boundary conditions. Convergence of solution is studied by increasing number of nodes for different boundary conditions and foundation parameters. Upon comparison with available results in literature, it was found that the method converges very fast and has very good accuracy even with small number of nodes. Applicability of the method was shown by solving numerical examples with all possible combinations of boundary conditions and different values of foundation parameters.http://dx.doi.org/10.3233/SAV-2012-00746
spellingShingle Ehsan Bahmyari
Mohammad Mahdi Banatehrani
Mohammad Ahmadi
Marzieh Bahmyari
Vibration Analysis of Thin Plates Resting on Pasternak Foundations by Element free Galerkin Method
Shock and Vibration
title Vibration Analysis of Thin Plates Resting on Pasternak Foundations by Element free Galerkin Method
title_full Vibration Analysis of Thin Plates Resting on Pasternak Foundations by Element free Galerkin Method
title_fullStr Vibration Analysis of Thin Plates Resting on Pasternak Foundations by Element free Galerkin Method
title_full_unstemmed Vibration Analysis of Thin Plates Resting on Pasternak Foundations by Element free Galerkin Method
title_short Vibration Analysis of Thin Plates Resting on Pasternak Foundations by Element free Galerkin Method
title_sort vibration analysis of thin plates resting on pasternak foundations by element free galerkin method
url http://dx.doi.org/10.3233/SAV-2012-00746
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AT mohammadahmadi vibrationanalysisofthinplatesrestingonpasternakfoundationsbyelementfreegalerkinmethod
AT marziehbahmyari vibrationanalysisofthinplatesrestingonpasternakfoundationsbyelementfreegalerkinmethod