The results of a computational experiment on the analysis of the effectiveness of placing stiffeners on the outer side of the shell structure are presented. The calculations were carried out on the basis of a geometrically nonlinear mathematical model that takes into account transverse shears and orthotropy of the material. The calculation algorithm is based on the Ritz method and the method of continuing the solution with respect to the best parameter. To take into account stiffeners, the refined discrete method, proposed by the author earlier, is used. Shallow shells of double curvature are analyzed. The structures are made of steel and are simply supported, the stiffening ribs are arranged orthogonally. The values of critical buckling loads are presented. The effectiveness of the location of the stiffeners on the outer side of the shell structure is shown. It is revealed that the location of the ribs on the outside increases the value of the critical buckling load.
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