Finite Element Formulation of Forced Vibration Problem of a Prestretched Plate Resting on a Rigid Foundation
The three-dimensional linearized theory of elastodynamics mathematical formulation of the forced vibration of a prestretched plate resting on a rigid half-plane is given. The variational formulation of corresponding boundary-value problem is constructed. The first variational of the functional in th...
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2007/56360 |
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| _version_ | 1850179255614308352 |
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| author | M. Eröz A. Yildiz |
| author_facet | M. Eröz A. Yildiz |
| author_sort | M. Eröz |
| collection | DOAJ |
| description | The three-dimensional linearized theory of elastodynamics mathematical formulation of the forced vibration of a prestretched plate resting on a rigid half-plane is given. The variational formulation of corresponding boundary-value problem is constructed. The first variational of the functional in the variational statement is equated to zero. In the framework of the virtual work principle, it is proved that appropriate equations and boundary conditions are derived. Using these conditions, finite element formulation of the prestretched plate is done. The numerical results obtained coincide with the ones given by Ufly and in 1963 for the static loading case. |
| format | Article |
| id | doaj-art-9f21980eec43412996de9d47a89fdcb4 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9f21980eec43412996de9d47a89fdcb42025-08-20T02:18:33ZengWileyJournal of Applied Mathematics1110-757X1687-00422007-01-01200710.1155/2007/5636056360Finite Element Formulation of Forced Vibration Problem of a Prestretched Plate Resting on a Rigid FoundationM. Eröz0A. Yildiz1Mathematics Department, Faculty of Science and Letters, Sakarya University, Esentepe Campus, Sakarya 54187, TurkeyMathematics Department, Faculty of Science and Letters, Sakarya University, Esentepe Campus, Sakarya 54187, TurkeyThe three-dimensional linearized theory of elastodynamics mathematical formulation of the forced vibration of a prestretched plate resting on a rigid half-plane is given. The variational formulation of corresponding boundary-value problem is constructed. The first variational of the functional in the variational statement is equated to zero. In the framework of the virtual work principle, it is proved that appropriate equations and boundary conditions are derived. Using these conditions, finite element formulation of the prestretched plate is done. The numerical results obtained coincide with the ones given by Ufly and in 1963 for the static loading case.http://dx.doi.org/10.1155/2007/56360 |
| spellingShingle | M. Eröz A. Yildiz Finite Element Formulation of Forced Vibration Problem of a Prestretched Plate Resting on a Rigid Foundation Journal of Applied Mathematics |
| title | Finite Element Formulation of Forced Vibration Problem of a Prestretched Plate Resting on a Rigid Foundation |
| title_full | Finite Element Formulation of Forced Vibration Problem of a Prestretched Plate Resting on a Rigid Foundation |
| title_fullStr | Finite Element Formulation of Forced Vibration Problem of a Prestretched Plate Resting on a Rigid Foundation |
| title_full_unstemmed | Finite Element Formulation of Forced Vibration Problem of a Prestretched Plate Resting on a Rigid Foundation |
| title_short | Finite Element Formulation of Forced Vibration Problem of a Prestretched Plate Resting on a Rigid Foundation |
| title_sort | finite element formulation of forced vibration problem of a prestretched plate resting on a rigid foundation |
| url | http://dx.doi.org/10.1155/2007/56360 |
| work_keys_str_mv | AT meroz finiteelementformulationofforcedvibrationproblemofaprestretchedplaterestingonarigidfoundation AT ayildiz finiteelementformulationofforcedvibrationproblemofaprestretchedplaterestingonarigidfoundation |