Nonlinear deformation and stability of the anisogrid circular cylindrical shells under transverse bending

The paper states a finite element solution to the stability problems for the cylindrical shells made of composite material taking into account the momentness and nonlinearity of their subcritical stress-strain state. The nonlinear problem of strength and stability is solved by the finite element methods and the Newton-Kantorovich linearization. Critical loads are determined in the process of solving a geometrically nonlinear problem using the Sylvester’s criterion. The paper uses finite elements of the composite cylindrical shells with the natural curvature developed on the basis of the Timoshenko hypothesis. Rigid displacements are explicitly distinguished in their displacement approximation, which significantly affects convergence of the solution. The paper presents results of studying stability of the cantilever-clamped anisogrid composite circular cylindrical shell exposed to transverse bending by the edge force. It determines the influence of deformation nonlinearity, rigidity of the reinforcement set, angles of laying the reinforcements and the shell thickness on the critical loads in losing stability.
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