Effects of Geometric Nonlinearity on Stress Analysis in Large Amplitude Vibration of thin Circular Functionally Graded Plates With Rigid Core

Abstract  In this paper , the nonlinear the nonlinear free and forced axisymmetric vibration of a thin circular functionally graded plate with rigid core is formulated in terms of von-Karman’s dynamic equation , and a semi-analytical approach is developed.Functionally graded material (FGM) properties vary through the thickness of the plate.FGM s are spatial composites within which material properties vary continuously and inhomogeneously.This problem is solved with MATLAB code.The mass of the core respect to the mass of plate is negligible. For verification, a solved coreless FGM circular plate has been solved by this code. The results show a good approximation. The results reveal that vibration amplitude and volume fraction have significant effects on the resultant stresses in large amplitude vibration of the functionally graded plate with rigid core.