Kepenach N. Dynamics of stiffened cylindrical shells elliptical cross-section at the unsteady loads

In the framework of the Timoshenko type linear theory of shells and ribs non-stationary vibrations of the supported cylindrical shells with elliptical cross section with allowance for discrete ribs are investigated. Hamilton-Ostogradsky variational principle of stationary is used for deduction of the motion equations, corresponding natural boundary and initial conditions for the cylindrical shells with elliptical section. Effectiveness numerical methods and numerical algorithms developed for solving dynamic problems of non-stationary oscillations of supported cylindrical shells with elliptical cross-section. On the basis of the initial mathematical models and numerical algorithms solutions for dynamic problems of stiffened cylindrical shells of elliptical cross-section are obtained. The cases of the longitudinal, transverse and longitudinal-transverse stiffened cylindrical shells of elliptical cross-section are considered. Analysis of stress-strain state of cylindrical shells of elliptical cross-section at the unsteady loads over a wide range of geometrical and physical-mechanical parameters under various boundary conditions is produced. The equations of oscillations supported cylindrical shells of elliptical cross-section in the constructive - orthotropic model are considered. Comparative analysis of the dynamic behavior of reinforced shells elliptical cross-section according to the model, taking into account the location of discrete ribs and constructive - orthotropic model is made.