Free Vibration Analysis of Arbitrary Shaped Plates by Boundary Knot Method

The boundary knot method (BKM) is a truly meshless boundary-type radial basis function (RBF) collocation scheme, where the general solution is employed instead of the fundamental solution to avoid the fictitious outside boundary of the physical domain of interest. In this study, the BKM is first used to calculate the free vibration of free and simply-supported thin plates. Compared with the analytical solution and ANSYS (a commercial FEM code) results, the present BKM is highly accurate and fast convergent.