Vibration characteristics of rotating functionally graded circular cylindrical shell with variable thickness under thermal environment

This paper deals with the vibration characteristics of rotating functionally graded circular cylindrical shells (FG-CS). The thickness of the shell varies linearly along the longitudinal direction. The material properties are graded continuously with a power law (P-FGM) in the radial direction and depend on the temperature. The system of motion equation is established by using the first-order shear deformation theory (FSDT) and Hamilton's principle. The model considers the effects of centrifugal forces, Coriolis forces, and initial hoop tension due to rotation. The natural frequencies of the shells with various boundary conditions are obtained by Galerkin's method. Several competition examples validated the accuracy of the present model. Some numerical studies are then conducted to identify the effects of rotational speed, material properties, geometrical parameters, and boundary conditions (BCs) on the vibration response of rotating FG-CS in detail.