A closed-form solution for dynamic analysis of auxetic sandwich cylindrical structures with FG face sheets under moving pressure

Cylinders with finite length under internal moving pressure have a wide range of applications in different industries such as automotive engineering, piping, pressure vessels, etc. This study investigates the dynamic response of finite-length auxetic sandwich cylinders with functionally graded (FG) face sheets and a honeycomb core layer subjected to constant velocity internal pressure. It is assumed that the FG layers are a mixture of materials, and the properties change as a function of the layer thickness. The governing equations are extracted based on the classical shell theory (CST) and Hamilton’s principle. The equations of motion, which are a system of coupled partial differential equations, are solved analytically, and the response to the internal moving pressure, natural frequencies, and critical velocities are determined. Using the presented analytical method, a parametric study has been performed and the effects of different parameters on the results are investigated. To validate the analytical solution, the results for some specific cases are compared with the finite element (FE) method and some other references. It is observed that the honeycomb layer with FG face sheets enables us to significantly decrease the weight of the structure and modify its dynamic behavior.