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Nonlinear Bending Analysis of Isotropic Plates Supported on Winkler Foundation Using Element Free Galerkin Method

Gaurav Watts, M. K. Singha, and S. Pradyumna
Department of Applied Mechanics, Indian Institute of Technology Delhi, New Delhi, India

Abstract—This paper deals with the nonlinear bending analysis of rectangular plates resting on Winkler type foundation using Element Free Galerkin (EFG) method with Moving Kriging (MK) shape function. The nonlinear equations of equilibrium, based on first order shear deformation theory and von Kármán's strain-displacement relationship are solved using Newton-Raphson method. Limited parametric study is conducted to examine the effectiveness of the present method in solving elastically supported plates with different loading and boundary conditions.

Index Terms—plate on winkler foundation, element free galerkin method, moving kriging shape function

Cite: Gaurav Watts, M. K. Singha, and S. Pradyumna, "Nonlinear Bending Analysis of Isotropic Plates Supported on Winkler Foundation Using Element Free Galerkin Method," International Journal of Structural and Civil Engineering Research, Vol. 4, No. 4, pp. 301-307, November 2015. doi: 10.18178/ijscer.4.4.301-307