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Meccanica
Published in: Meccanica 8/2012

01-11-2012

A nth-order shear deformation theory for the free vibration analysis on the isotropic plates

Authors: Song Xiang, Gui-wen Kang, Bin Xing

Published in: Meccanica | Issue 8/2012

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Abstract

In the present paper, a nth-order shear deformation theory is used to perform the free vibration analysis of the isotropic plates. The present nth-order shear deformation theory satisfies the zero transverse shear stress boundary conditions on the top and bottom surface of the plate. Reddy’s third order theory can be considered as a special case of present nth-order theory (n=3). The governing equations and boundary conditions are derived by the principle of virtual work. The governing differential equations of the isotropic plates are solved by the meshless radial point collocation method based on the thin plate spline radial basis function. The effectiveness of the present theory is demonstrated by applying it to free vibration problem of the square and circular isotropic plate.
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Metadata
Title
A nth-order shear deformation theory for the free vibration analysis on the isotropic plates
Authors
Song Xiang
Gui-wen Kang
Bin Xing
Publication date
01-11-2012
Publisher
Springer Netherlands
Published in
Meccanica / Issue 8/2012
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-012-9563-0

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