Numerical analysis of nonlinear deformation and loss of stability in preliminary stressed composite cylindrical shells under axial dynamic loads

Abstract

Within the framework of the applied theory of shells, an energy-consistent resolving system of equations is constructed, and a complex numerical method is developed that allows solving both quasi-static and dynamic problems of nonlinear nonaxisymmetric deformation and loss of stability of composite cylindrical shells on the basis of an explicit variational-difference scheme. The quasi-static loading mode is simulated by setting an internal pressure in the form of a linearly increasing function reaching a steady-state value during three periods of vibration of a composite cylindrical shell in the lowest form. The critical buckling load is determined by the characteristic kink on the maximum deflection - loading amplitude curve. The reliability of the method developed is substantiated by comparing calculation results with experimental data. The characteristic forms and critical buckling loads of GRP cylindrical shells as functions of the level of preloading by a quasi-static internal pressure and of the subsequent loading by an axial dynamic pressure are analyzed for various reinforcement structures.