The Investigation on the Vibration and Stability of Functionally Graded Plates

Abstract

An analytical formulation is derived to investigate the vibration frequencies and buckling coefficients of a hybrid functionally graded plate (FGP) with an arbitrary initial stress. The governing equations are derived using the average stress method. The ceramic—functionally graded material (FGM)—metal plates are studied in examples. The properties of FGM are assumed to vary continuously from one free surface to another, according to a simple power law of the constituent volume fractions. The initial stress is a combination of a uniaxial extensional stress and a pure bending stress. The effects of volume fraction index, initial stress and other factors on the natural frequencies and buckling loads are studied.