Investigation of nonlinear deformation and stability of an elliptical cylindrical composite shell under axial compression

The problem of stability of non-circular elliptical cylindrical shells made of composite material is solved, taking into account the momentarity and nonlinearity of their subcritical stress-strain state. Geometrically, the nonlinear stability problem is solved by finite element methods and Newton-Kantorovich linearization. Critical loads are determined in the process of solving a nonlinear problem using the Sylvester criterion. The finite elements of composite cylindrical shells of natural curvature, developed by the author on the basis of Timoshenko’s hypothesis, are used, and their rigid displacements are explicitly highlighted in the approximation of their displacements, which significantly affects the convergence of the solution. The stability of an elliptical, cantilever-mounted cylindrical shell made of polymer composite material under axial compression is investigated. The influence of monolayer laying methods, non-linearity of deformation, and the ovality parameter on the critical loads of shell stability loss and weight efficiency of composite shells has been clarified.
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