Vibration analysis of supported thick-walled cylindrical shell made of functionally graded material under pressure loading

Abstract

This paper presents a study on the vibration of a supported thick-walled cylindrical shell made of functionally graded material (FGM) subjected to pressure loading. The FGM shell is developed in accordance to the volume fraction law from two constituents, namely stainless steel and nickel. For the power law exponent distribution the top surface of the structure is steel/nickel-rich, whereas the bottom surface is nickel/steel-rich. The FGM properties are graded along the thickness direction of the shell. The supported FGM thick shell equations with one ring and pressure loading are established based on first-order shear deformation theory. The governing equations of motion were employed, using energy function and by applying the Ritz method. The boundary conditions represented by the end conditions of the FGM thick shell are simply supported–simply supported, clamped–clamped, free–free, clamped–free, clamped–simply supported, free–simply supported, sliding–free and sliding–clamped. The effects of the volume fraction law exponent, pressure loading, ring position and different boundary conditions on natural frequency characteristics are studied. The results obtained are compared with those available in the literature.