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: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2012-00746 |
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| _version_ | 1832565389167427584 |
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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 |
| id | doaj-art-6f40d925ff154b4183cddfa4a48dce5d |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| 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 |
| work_keys_str_mv | AT ehsanbahmyari vibrationanalysisofthinplatesrestingonpasternakfoundationsbyelementfreegalerkinmethod AT mohammadmahdibanatehrani vibrationanalysisofthinplatesrestingonpasternakfoundationsbyelementfreegalerkinmethod AT mohammadahmadi vibrationanalysisofthinplatesrestingonpasternakfoundationsbyelementfreegalerkinmethod AT marziehbahmyari vibrationanalysisofthinplatesrestingonpasternakfoundationsbyelementfreegalerkinmethod |