Dynamics of shells of revolution under axisymmetric load involving shear deformation

Coupled Thermoelasticity of an Axially Symmetric Cylindrical Shell

“…They found an analytical series solution of coupled equations employing the Galerkin method, from which it follows that the maximum ratio of dynamic to quasi-static deflection can be much greater than two and a semicoupled theory gives incorrect results for the case. Tene and Sheinman [2] obtained the dynamic response of shells of revolution under dynamic mechanical loads. Their formulations included the effect of shear deformation and rotary inertia, and they used Houbolt's method along with finite difference to obtain the response of a shell.…”