Cylindrical shells buckling of thin-walled

Procedure 2-15 Buckling of Thin Wall Cylindrical Shells [21]... 

Thin-walled cylindrical vessels imder axial loads can fail in two manners by column action as in the case of Euler s buckling or by wrinkling between tray supports. The stiffness provided by the internal structures of columns containing trays, tray supports, downcomers, etc., provide additional rigidity. As a result, Euler s buckling, which is produced by bending of the shell as a whole, is seldom a controlling factor in tall vertical vessels. 

Schneider W, Biede A (2005) Consistent equivalent geometric imperfections for the numerical buckling strength verification of cylindrical shells under uniform external pressure. Thin-Walled Struct 43(2) 175-188 Schneider W, Timmel I, Hdhn K (2005) The conception of quasi-collapse-affine imperfections a new approach to unfavourable imperfections of thin-walled shell stmc-tures. Thin-Walled Struct 43(8) 1202-1224 Stricklin JA, Haisler WE, von Riesemann WA (1973) Evaluation of solution procedures for material and/or geometrically nonlinear structural analysis. AIAAJll(3) 292-299... 

Consider a long, thin cylindrical shell of mean diameter D and wall thickness t subjected to an external pressure P. The cylinder is in a stable configuration as long as it remains circular in shape. If there is an initial ellipticity, the cylinder will be in an unstable condition and will eventually buckle. ... 

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