Geodesic
A~Longitudinal Stability of a~Ribbed Cover in~a~Multimodulus Elastic Medium
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2014), pp. 89-95

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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.
Keywords: stability, hinge-supported cylindrical cover, combined exhaustive search algorithm. 
@article{VSGTU_2014_2_a7,
     author = {A. Korablev and E. I. Mikhailovskii and E. V. Tulubenskaja and N. A. Belyaeva},
     title = {A~Longitudinal {Stability} of {a~Ribbed} {Cover} {in~a~Multimodulus} {Elastic} {Medium}},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {89--95},
     publisher = {mathdoc},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2014_2_a7/}
}
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A. Korablev; E. I. Mikhailovskii; E. V. Tulubenskaja; N. A. Belyaeva. A~Longitudinal Stability of a~Ribbed Cover in~a~Multimodulus Elastic Medium. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2014), pp. 89-95. http://geodesic.mathdoc.fr/item/VSGTU_2014_2_a7/