Yasin Heydarpour

Transient response of rotating multi-layered FG truncated conical shells subjected to thermal shock with temperature dependent properties is studied. In order to consider the finite speed of heat propagation, the non-Fourier heat transfer equation is employed. Based on the linear theory of elasticity, the initial dynamic equilibrium equations are derived. The equations of motion of each layer around this equilibrium state and also the related boundary and compatibility conditions are obtained using Hamilton's principle. A layerwise-differential quadrature method in conjunction with the mapping technique is applied to discretize the resulting equations in the spatial domain. This converts the governing partial differential equations to a system of ordinary differential equations in the time domain. Then, to obtain solution of the resulting system of differential equations, a new general multi-step method based on the B
ezier curves is implemented. Verification of the formulation and the method of solution are shown using benchmark solutions available for particular problems in the literature. Eventually, the influence of different parameters on the transient analysis of the shells subjected to thermal loading is also examined.