Nonlinear dynamics of closed cylindrical shells under the action of longitudinal and transversal loads

Abstract

Abstract The nonlinear dynamics of a closed cylindrical shell, described by the kinematic model of the first approximation (Kirchhoff-Love) under the action of external alternating longitudinal and transverse loads, is studied. Geometric nonlinearity is described by the T. von Karman model. The resulting system of nonlinear partial differential equations is reduced to an ODE system using the Bubnov-Galerkin method in higher approximations, the Cauchy problem is solved by the 4th and 6th orders of accuracy with the Runge-Kutta method. Numerical results are compared with experimental data for longitudinal loads obtained by Zippo A., Barbieri M., Pellicano F. A qualitative agreement of the results is shown.