Dynamic buckling analysis of doubly curved orthotropic shallow shells via the Kantorovich and Rosenbrock methods

The paper presents a method for studying orthotropic shallow shells of double curvature under dynamic loading, based on a geometrically nonlinear mathematical model using the Kantorovich and Rosenbrock methods. The load is assumed to be linearly time-dependent. The solution of the problem is reduced to solving a rigid ODE system. The influence of the loading rate and the choice of material (CFRP, GFRP) on the values of critical buckling loads are analyzed. Load–deflection graphs and phase portraits are shown.