Nonlinear thermal-induced oscillations of porous axisymmetric FGM cylindrical shells resting on elastic foundation exposed to cooling shock

In the ongoing study, by presenting a numerical solution approach, the thermal-induced dynamic response of porous axisymmetric cylindrical shell composed of functionally graded material (FGM) resting on an elastic substrate exposed to a rapid cooling shock is analyzed, which hasn’t been studied hitherto. The cylindrical shell is composed of stainless steel (SUS 304) and low carbon-steel (AISI 1020), whose properties are distributed through the thickness based upon the power-law scheme. By employing the transient heat conduction in the one-dimensional Fourier conformation, the solution of the temperature equation is derived. With the aid of the available laboratory data, the temperature-dependent properties attributed to the FGM cylindrical shell are evaluated. The obtained nonlinear differential equations of motion are achieved incorporating the geometrical nonlinearity in the von Kármán form, the first order shear deformation shell formulations and the Hamilton’s principle. In order to linearize and extract the dynamic response of the equations of motion and the temperature equation, Newton-Raphson, generalized differential quadrature (GDQ) methods and Newmark-beta integration pattern have been used. Validation of the results is done with reliable references and then by presenting a parametric examination, the influences of diverse factors including thermal load rapidity time, power-law index, elastic foundation parameters, and temperature differences on the oscillation feedback and stress distribution of the shell exposed to the rapid cooling shock are examined. It is concluded that through moving from the neutral surface to the top and bottom surfaces of the FGM cylindrical shell, the stress increases, and in a particular surface, the longitudinal stress is more than the circumferential stress.