Vibrational behavior of composite cylindrical shells with auxetic honeycombs core layer subjected to a moving pressure

A mathematical procedure has been presented to study the vibrational behavior of a composite cylindrical shell under moving internal pressure. The shell contains three layers in which the internal and external layers have elastic and isotropic properties and the middle layer consists of an auxetic honeycomb structure which has negative Poisson's ratio. The equations of motion have been extracted based on the classical shell theory and Hamilton's principle. The governing equations which are a system of coupled partial differential equations, are solved using an analytical solution, and the natural frequencies, the critical velocities and dynamic response have been determined. To investigate the sensitivity of the geometrical parameters and material properties on the natural frequency, critical velocity, and dynamic response, a parametric study has been conducted. To verify the analytical method, the results have been compared with the finite element results and some available literature results.