Three-dimensional vibration analysis of isotropic plates by multiquadric and thin-plate spline radial basis functions

In this paper, the meshless collocation method based on global multiquadric and thin-plate spline radial basis functions is presented to discretize the governing equations and boundary conditions of the three-dimensional isotropic plate. Several numerical examples are used to show convergence of the present method. It is found that the natural frequencies computed by multiquadric radial basis function with shape parameter c=0.3/Nx (Nx is the number of node at the x side) converge most rapidly, the natural frequencies computed by thin-plate spline radial basis function with shape parameter m = 2 converge most rapidly. The results of the present paper are in good agreement with the available published results.