Thermally Induced Large Amplitude Vibrations of FGM Conical–Cylindrical–Conical Shells

Introduction The current work investigates the geometrically nonlinear dynamic response of a functionally graded material conical–cylindrical–conical joint shell construction exposed to rapid surface heating. Materials and Methods Considering the dependence on position and temperature, the material properties are determined using the Voigt and Touloukian models.To determine the thermal force and moment due to temperature distribution, the Crank–Nicholson approximation and Picard iterative method are used to solve the nonlinear, one-dimensional transient heat transfer equation using the generalised differential quadrature numerical method. The first-order shear deformation theory and the von Kármán form of nonlinear kinematics are used to derive the equations of motion. The Newton–Raphson iterative approach and the β Newmark time estimation approach are used to solve the nonlinear coupled equations of motion. Results The influencing factors on the reaction of the structure, such as the boundary conditions and length of the conical and cylindrical shells, are determined once the equations, techniques, and findings are validated. Due to the lack of data on the thermal shock response of joined shell, comparison is performed between the results of this study and those of single shells. Findings It is shown that geometrical charateristics of the shell, in-plane and out-of-plane boundary conditions are all important on the dynamic response of the shell system under rapid surface heating. Also it is shown that thermally induced vibrations indeed exists, especially when structure is thin enough.