Thermoelastic Transient Response of Rotating Thick Cylindrical Shells under General Boundary Conditions

ABSTRACT: General solutions for transient thermoelastic analysis of rotating thick-walled hollow cylinders subjected to both internal and external pressure are presented. The basic thermoelasticity theory under generalized assumptions is used to solve the thermoelastic problem. Furthermore, the method of the separation of variables is applied for the solution of thermal problem. The distribution of temperature and thermal stresses in a transient state for general thermal boundary conditions is obtained. The distribution of the transient temperature, radial displacement, and thermal stresses through the radial direction of the cylinder is plotted and the results are compared with the solution using finite element method (FEM), which showed good agreement. The values used in this study are arbitrarily chosen to demonstrate the effect of angular velocity and time on the distribution of displacements and stresses.