Bending Analysis of Functionally Graded Thin Annular Sector Plates Using Differential Quadrature Method

In this paper, the Differential Quadrature Method (DQM) is used to the bending analysis of functionally graded thin annular sector plates under various boundary conditions. The material properties of the FG plate are assumed to vary continuously through the thickness, according to the power-law distribution. First the governing equilibrium equations of the FG thin annular sector plate and the corresponding boundary conditions are derived according to classical plate theory. Then the DQM is applied to discretize the equations as well as the boundary conditions. Using thisprocedure a system of equations is obtained that the solution of it represents the deflection of the plate under consideration. Also, the resultant stresses, shear forces and bending moments of the plate can be calculated. To validate the work, the results are compared with the literature in special cases. The numerical results for the FG-plates and in particular case for the isotropic homogenous plates under various boundary conditions are presented. Finally the effects of boundary conditions, volume fraction exponent and variation of Poisson’s ratio on the bending behavior of the plate are studied.

کلیدواژه ها:

Bending Analysis ، Functionally GradedMaterial ، Thin Annular Sector Plate ، DifferentialQuadrature Method