Natural frequencies of sandwich plate with functionally graded face and homogeneous core

In the present paper, meshless global collocation method based on the thin plate spline radial basis function and nth-order shear deformation theory are used to analyze the free vibration of sandwich plate with functionally graded face and homogeneous core. Meshless global collocation method approximates the solution of governing differential equations using the all nodes in the problem domain. The third-order theory of Reddy can be considered as a special case of the present nth-order theory. Natural frequencies of the sandwich plates with various side-to-thickness ratios, thickness ratio of each layer, boundary conditions and material properties are calculated by the present nth-order theory and meshless global collocation method. The results are compared with the three dimensional Ritz solutions.