Buckling of cylindrical shell stiffened by rings with T-shaped cross-section

Abstract

Buckling under the action of the external lateral pressure of the cylindrical shell stiffened by the identical rings with T-shaped cross-sections is considered. If the rings are sufficiently narrow then the buckling mode is similar to the buckling mode of the shell without rings. To find this mode called the buckling mode of the first type one can use the beam model of the ring. By means of asymptotic methods the simple approximate formulae for calculation of the critical external pressure and the buckling modes of the first type are derived. The optimal parameters corresponding to the maximal value of the critical pressure of the stiffened shell with given mass are evaluated. If the width of a the ring grows the buckling mode of the first type is replaced with the buckling mode of the second type. Such buckling mode consists of many small pits formed on the surface of the ring. The cylindrical shell itself does not actually deform. The beam model can not be used for studying the stability of the wide ring which must be considered as an annular plate...

Keywords:

buckling, cylindrical shell, ring of T-shaped cross-section, asymptotic methods