Open Access
2013 Natural Frequencies of Shear Deformable Plates by Polyharmonic Splines
A. J. M. Ferreira, A. M. Zenkour
J. Appl. Math. 2013: 1-7 (2013). DOI: 10.1155/2013/284208


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.


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A. J. M. Ferreira. A. M. Zenkour. "Natural Frequencies of Shear Deformable Plates by Polyharmonic Splines." J. Appl. Math. 2013 1 - 7, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

MathSciNet: MR3115275
Digital Object Identifier: 10.1155/2013/284208

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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