Radial basis function-based pseudospectral method for static analysis of thin plates

The paper deals with the implementation of radial basis function-based pseudospectral method (RBF-PS), which is a meshless numerical technique, to static analysis of thin, isotropic plates. The analyzed problem possesses multiple boundary conditions, therefore direct application of the RBF-PS is not straightforward. In the paper, some approaches to implement the method in such the case are presented. They are examined by the analysis of square plates as well as irregular shaped ones with various combinations of boundary conditions. A careful attention is paid to the problem of choosing an appropriate value of the shape parameter for radial basis functions and an effective approach is explained. The obtained results show the usefulness and high accuracy of the approaches proposed, confirming the advantages of the use of the radial basis function approximation in pseudospectral mode.