Buckling of the cylindrical shell joint with annular plates under external pressure

By means of an asymptotic method the buckling under uniform external pressure thin cylindrical shell supported by identical annular plates is analyzed. Boundary conditions on internal parallel joined to a plate are obtained. At edges free support introduced. We seek approximate solutions eigenvalue problem as sum slowly varying functions and edge effect integrals. On parallel, where joint with shell, main boundary for formulation zero approximation This describes also vibrations simply beam stiffened springs. Its solution we linear combinations Krylov’s functions. It shown, that in it possible replace narrow circular beam. increase width stiffness corresponding spring tend constant. occurs because localization deformations near plate. As example dimensionless critical case when one found. The replacement does not lead appreciable change pressure, however wide model gives overestimated value pressure.