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Abstract
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In this paper, static and free vibrations behaviors of the orthotropic functionally graded
material (FGM) plates resting on the two-parameter elastic foundation are analyzed by
the a mesh-free method based on the first order shear deformation plate theory (FSDT).
The mesh-free method is based on moving least squares (MLS) shape functions and
essential boundary conditions are imposed by transfer function method. The orthotropic
FGM plates are made of two orthotropic materials and their volume fractions are varied
smoothly along the plate thickness. The convergence of the method is demonstrated and
to validate the results, comparisons are made with finite element method (FEM) and the
others available solutions for both homogeneous and FGM plates then numerical
examples are provided to investigate the effects of material distributions, elastic
foundation coefficients, geometrical dimensions, applied force and boundary conditions
on the static and vibrational characteristics of the orthotropic FGM plates .
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