Free Vibration Analysis of Functionally Graded Rec- tangular Plates Carrying a Distributed patch Mass with Generalized Differential Quadrature Method

In this study, free vibrations analysis of functionally graded (FG) rectangular plates carrying a distributed patch mass is presented with a Generalized Differential Quadrature Method (GDQM). Based on a simple power-law distribution, the equations are derived regarding to the third order shear deformation theory. By extracting kinetic and strain energies, The equations of motion are derived by using Hamiltonʹs principle. The five constitutive equations of motion and boundary conditions are discretized by GDQM method. Finally, validation of the present work is carried out by comparing the numerical results reported in the published literatures. Furthermore, influences young modulus ratio and length to thickness ratio were investigated.