Polynomial RBF- based meshless method for vibration analysis of FGM plate

Abstract In this study, the four transverse shear functions are carried out for the analysis of vibration response of functionally graded material subjected to uniformly distribute transverse load with polynomial RBF. The governing equations are based on the higher order shear deformation theory and Hamilton principle. Simply supported boundary conditions are implemented. It is found that the present meshless method can accurately analyze for the effect of the volume fraction exponent, side to thickness ratio and effects of vibration on modes of FGM plate. Keywords: FGM, plates, Meshless method, RBF, Vibration.