Исследование нелинейного деформирования и устойчивости композитной цилиндрической оболочки при комбинированном нагружении крутящим моментом, краевой поперечной силой и внутренним давлением

Abstract

The paper presents a finite element formulation for solving stability problems of the composite cylindrical shells taking into account momentness and nonlinearity of their subcritical stress-strain state. The nonlinear problem of strength and stability was solved by the finite element methods and the Newton-Kantorovich linearization. Critical loads were determined in the process of solving the geometrically nonlinear problem using the Sylvester criterion. Finite elements of the composite cylindrical shells with natural curvature previously developed on the basis of Timoshenko’s hypothesis were used. Their rigid motions were explicitly identified in the movement approximation. Stability of a circular cylindrical shell made of the polymer composite material was studied under combined loading with torque, transverse force and internal pressure. Interaction curves of the external loads were obtained. Influence was determined of monolayers laying methods, nonlinearity of deformation and internal pressure on the critical loads of the shell buckling and the weight efficiency of composite shells in comparison with the metal ones.