A Longitudinal Stability of a Ribbed Cover in a Multimodulus Elastic Medium

The stability of a longitudinal compressed hinge-supported cylindrical cover stiffened by stringers and located on the border of two Winkler's ambiences is considered. The derivation of the equations was carried out under the assumptions: using a simplified theory of Donnell–Vlasov, axisymmetric deformation of a cover, only normal load acts on the shell. The problem is solved using a combined exhaustive search algorithm. This method includes full and local search of variants to search a form deflection and a critical force. Full search of variants is required to construct a form deflection of a shell. Local search of variants is necessary to clarify a critical force. As a result of numerical experiments we found out that increasing the number of stringers reinforces the shell. These results are consistent with the results obtained in the other works.