Analytical Investigation of the Vibrational and Dynamic Response of Nano-Composite Cylindrical Shell Under Thermal Shock and Mild Heat Field by DQM method

Abstract

In this paper, vibrations and dynamic response of a The shell of nanocomposite cylinders reinforced with nanotubes under heat shock and heat field loading has been investigated and The problem is that at first there is a temperature change due to the thermal field in the cylinder and the cylinder is coincident with the thermal field, then the surface temperature of the cylinder rises abruptly. The partial derivative equations of motion are coupled to the heat equations, firstly the energy equations of motion and Then the set of equations including the equations of motion and heat energy equations are solved by Matlab software with the Runge Kutta 4 method in which this study effects the parameters of length, temperature, thickness and radius on the natural frequencies and layer displacement frequencies. Intermediate examined The results show that increasing the outside temperature reduces the natural frequency and increases the displacement of the system. Radial displacement results were also compared with previous studies and were found to be in good agreement with previous literature.