Finite element analysis of thermoelastic free vibration behaviour of hardcore higher-order doubly curved sandwich shell panel

Free vibration analysis is carried through for functionally graded material (FGM) sandwich structure under uniform thermal loading and the material property variation according to the power-law distribution. A self-prepared computer code in MATLAB numeric computing environment based on finite element scheme using higher-order kinematics and replicating quadratic function is equipped for the computation of responses for symmetric as well as unsymmetric doubly curved sandwich structure under diverse support conditions. For numerical approximation while deriving the system of equations, Hamilton's principle is utilised to evaluate the thermo-elastic natural frequencies and the critical buckling temperature. An isoparametric Lagrangian element with zero order Hermitian interpolation function is utilised for model discretisation. After establishing the convergence and validity, the present higher-order model is further hold out for solving diverse numerical illustrations and functional inferences those will assist in designing the imminent graded structures serving under intense thermal loading in high-performance engineering applications.