A Comparative Study on Different Solutions in Vibration and Buckling Analyses of Functionally Graded Porous Cylindrical Shells Under Compression in Thermal Environments

Abstract

This paper presents semi-analytical and analytical solutions for investigating the vibration, buckling, and post-buckling behavior of cylindrical shells surrounded by an elastic foundation and subjected to axial compression in a thermal environment. The shell’s central layer is composed of a functionally graded porous material, coated with two functionally graded layers and reinforced with rings, stringers, and spiral stiffeners. The governing equations of the shell are derived using Donnell’s theory with von Karman geometric nonlinearity. The Galerkin method and Runge–Kutta method are employed to determine the static and dynamic responses of the shell. Two radial deflection assumptions are considered to highlight their respective advantages and disadvantages. The reliability of the proposed model is demonstrated through comparison with results available in the literature. Additionally, the effects of various parameters—such as material properties, geometric dimensions, stiffener configurations, foundation characteristics, and temperature variations—on the static and dynamic buckling behavior of the shells are investigated.