Abstract
Presented herein is a theoretical investigation of the stability of an orthogonally stiffened, finite, oval cylindrical shell under axial compression for various types of boundary conditions. The mathematical model begins with the establishment of a set of suitable large deflection shell equations. The stiffeners are treated as classical beam elements having axial, bending, and twisting stiffnesses. The formulation includes prebuckling deformations and ring-stiffener discreteness. The problem is solved by employing a modal expansion together with the total energy expression. The modes of the expansion are generated from the numerical solution to the exact equilibrium equations and boundary conditions of a circular cylinder identical to the present one except for its constant radius of curvature which is equal to the average radius of the oval shell. The results for an infinitely long stiffened and unstiffened oval shell, under axial compression, agree very well with those of previous investigations. The effects of the types of support, the out-of-roundness of the oval, and the eccentricity of the stiffeners upon the stability of the oval cylinder are also presented.
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