Ehsan Bahmyari

TL;DR: In this paper, the authors investigate the vibration behavior of a thin square orthotropic plate resting on a non-uniform elastic foundation and its thickness varying in one or two directions, by using the classical plate theory and employing element free Galerkin method, they show that the fundamental frequency coefficients obtained are in good agreement with available results in the literature.

TL;DR: In this paper, the element free Galerkin method is used to analyze free vibration of thin plates resting on Pasternak elastic foundations with all possible types of classical boundary conditions.

TL;DR: In this article, the free vibration analysis of nonhomogeneous moderately thick plates with point supports resting on a two-parameter elastic foundation is presented. And the results obtained by this method are in a very good agreement with the available literatures in spite of using low numbers of nodes which can be considered as an inconvenience in some other methods to reach a satisfactory accuracy.

TL;DR: In this article, the element free Galerkin method is combined with the generalized polynomial chaos to quantify the uncertainties in the bending analysis of shear deformable plates with elastically restrained edges resting on a Pasternak elastic foundation with random system properties.

TL;DR: In this article, the authors used the Element Free Galerkin method to analyze bending of thin plates with variable thickness resting on one parameter elastic foundation and found that for deflection good results were achieved even with small number of nodes regardless of boundary condition, thickness variation and foundation parameters.