Response investigation of viscoelastic cylindrical shells with geometrical nonlinearity effect under moving pressure: An analytical approach

In this research, an analytical method is presented to investigate the nonlinear response of viscoelastic cylindrical shells with the finite length under moving internal pressure by moderately large deflection assumption. The viscoelastic behavior is considered as elastic in the bulk and standard linear solid in the shear. The strain-displacement relations are defined using nonlinear von Karman relations. By employing Hamilton’s principle, the equations of motion are extracted based on the classical shell theory. These equations which are a system of nonlinear coupled partial differential equations, are solved by the method of multiple scale of the perturbation technique and the response due to moving pressure and the critical velocity are determined. Moreover, the effects of different geometrical and viscoelastic parameters on the results are investigated. The results are compared with the finite element method and the reported results in some literatures.