Integrated-RBF network method for free vibration analysis of laminated composite plates

Abstract

This paper presents a new effective radial basis function (RBF) collocation technique for the free vibration analysis of laminated composite plates using the first order shear deformation theory (FSDT). The plates, which can be rectangular and non-rectangular, are simply discretised by means of Cartesian grids. Instead of using conventional differentiated RBFs, integrated RBF networks [1,2,3] are employed on grid lines to approximate the field variables. Several test problems with different geometries, boundary conditions, thickness to length ratios and material properties are considered. The obtained numerical results are in good agreement with existing published results and exact solutions. Numerical results show that the proposed technique is very stable and converges fast with grid refinement.