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Bending Analysis of Thin Plates with Variable Thickness Resting on Elastic Foundation by Element Free Galerkin Method

Published online by Cambridge University Press:  09 August 2012

Ahmad Rahbar-Ranji  and
E. Bahmyari
Ahmad Rahbar-Ranji*
Affiliation:
Department of Ocean Engineering, Amirkabir University of Technology, Iran
E. Bahmyari
Affiliation:
Department of Ocean Engineering, Amirkabir University of Technology, Iran
*
*Corresponding author (rahbar@aut.ac.ir)
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Abstract

Element Free Galerkin method was used to analyze bending of thin plates with variable thickness resting on one parameter elastic foundation. Thickness of plate is considered as linearly varying in one direction. Formulation could be applied to plates of any shape with general boundary conditions and loadings. Convergence of solution was examined for different number of nodes, thickness variation and foundation parameters. It was found that for deflection good results were achieved even with small number of nodes regardless of boundary condition, thickness variation and foundation parameters. Accuracy of method is checked against available results and good agreements were found. Applicability of method is demonstrated by solving numerical examples with different boundary conditions, thickness and foundation parameters, and loadings.

Keywords

Element free galerkin methodThin plateVariable thicknessElastic foundation
Type
Articles
Information
Journal of Mechanics , Volume 28 , Issue 3 , September 2012 , pp. 479 - 488
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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