Thermo-mechanical response of axisymmetric cylindrical shells made of FGM subjected to cooling shock

Abstract

This investigation presents a comprehensive analysis of the thermomechanical behavior of functionally graded (FG) cylindrical shells subjected to cooling shock employing a novel solution methodology. Utilizing the first-order shear deformation theory, the variational differential quadrature (VDQ) approach is employed to solve the governing equation, which are derived using Hamilton's principle, then complemented by the Newmark integration technique for the time derivatives. The generalized differential quadrature (GDQ) method is employed to solve the one-dimensional transient heat conduction problem. The study systematically investigates the influences of temperature differences, boundary conditions (BCs), power law indices, and thermal load rapidity time on the vibrations and stress distributions across various surfaces of the cylindrical shell. Numerical results demonstrate that significant temperature variations lead to increased vibrational amplitudes and stress concentrations, highlighting the critical role of BCs and material properties in the dynamic behavior of FG cylindrical shells. © 2025