Natural Frequencies of Shear Deformable Plates by Polyharmonic Splines
We use the third-order shear deformation theory and a collocation technique with polyharmonic splines to predict natural frequencies of moderately thick isotropic plates. The natural frequencies of vibration are computed for various plates and compared with some available published results. Through...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/284208 |
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doaj-9d7e907ad3c24c0cbb2b207d11203c502020-11-24T20:59:07ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/284208284208Natural Frequencies of Shear Deformable Plates by Polyharmonic SplinesA. J. M. Ferreira0A. M. Zenkour1Faculdade de Engenharia da Universidade do Porto, Porto, PortugalDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe use the third-order shear deformation theory and a collocation technique with polyharmonic splines to predict natural frequencies of moderately thick isotropic plates. The natural frequencies of vibration are computed for various plates and compared with some available published results. Through numerical experiments, the capability and efficiency of the present method for eigenvalue problems are demonstrated, and the numerical accuracy and convergence are thoughtfully examined.http://dx.doi.org/10.1155/2013/284208 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. J. M. Ferreira A. M. Zenkour |
| spellingShingle |
A. J. M. Ferreira A. M. Zenkour Natural Frequencies of Shear Deformable Plates by Polyharmonic Splines Journal of Applied Mathematics |
| author_facet |
A. J. M. Ferreira A. M. Zenkour |
| author_sort |
A. J. M. Ferreira |
| title |
Natural Frequencies of Shear Deformable Plates by Polyharmonic Splines |
| title_short |
Natural Frequencies of Shear Deformable Plates by Polyharmonic Splines |
| title_full |
Natural Frequencies of Shear Deformable Plates by Polyharmonic Splines |
| title_fullStr |
Natural Frequencies of Shear Deformable Plates by Polyharmonic Splines |
| title_full_unstemmed |
Natural Frequencies of Shear Deformable Plates by Polyharmonic Splines |
| title_sort |
natural frequencies of shear deformable plates by polyharmonic splines |
| publisher |
Hindawi Limited |
| series |
Journal of Applied Mathematics |
| issn |
1110-757X 1687-0042 |
| publishDate |
2013-01-01 |
| description |
We use the third-order shear deformation theory and a collocation technique with polyharmonic splines to predict natural frequencies of moderately thick isotropic plates. The natural frequencies of vibration are computed for various plates and compared with some available published results. Through numerical experiments, the capability and efficiency of the present method for eigenvalue problems are demonstrated, and the numerical accuracy and convergence are thoughtfully examined. |
| url |
http://dx.doi.org/10.1155/2013/284208 |
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AT ajmferreira naturalfrequenciesofsheardeformableplatesbypolyharmonicsplines AT amzenkour naturalfrequenciesofsheardeformableplatesbypolyharmonicsplines |
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