Buckling and vibration of functionally graded circular plates resting on elastic foundation

Abstract

The axisymmetric vibrations of functionally graded circular plates subjected to uniform in-plane force resting on elastic foundation have been analysed on the basis of classical plate theory. The material properties, i.e. Young’s modulus and density vary continuously through the thickness of the plate and obey a power law distribution of the volume fraction of the constituents. Differential transform method was employed to solve the differential equation governing the motion of simply supported plates. The effect of various plate parameters was studied on the first three modes of vibration. By allowing the frequency to approach zero, the critical buckling loads for the plate were computed. A comparison of results with those available in the literature has been presented.