ABSTRACT
The paper addresses orthotropic shell structures roller supported along the edges and subjected to uniformly distributed dynamic loading. The authors develop a mathematical model for the deformation of such structures under dynamic loading in the form of mixed-form equations in geometrically non-linear formulation within the Timoshenko–Reissner theory. They propose an algorithm for the analysis of the model based on the Vlasov–Kantorovich and Runge–Kutta methods. Buckling analysis for shells having three different sets of geometric characteristics and made of four different composite materials is performed. As a result, based on the highest buckling load values and corresponding largest deflections, the most optimal material is chosen. A comparison with static loading conditions is made. The authors demonstrate the lag effect manifested under dynamic loading. As a result, the buckling load increases (compared to static loading). The lag effect is also manifested with an increase in the loading rate.
