Amazigo, J.C. (1974) Asymptotic Analysis of the Buckling of Externally Pressurized Cylinders with Random Imperfections. Quarterly of Applied Mathematics, 32, 429-442.
https://doi.org/10.1090/qam/99693

has been cited by the following article:

• TITLE: On the Maximum Displacement and Static Buckling of a Circular Cylindrical Shell

  AUTHORS: G. E. Ozoigbo, A. M. Ette

  KEYWORDS: Static, Maximum Displacement, Circular, Cylindrical Shell

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.11, November 21, 2019

  ABSTRACT: The static buckling load of an imperfect circular cylindrical shell is here determined asymptotically with the assumption that the normal displacement can be expanded in a double Fourier series. The buckling modes considered are the ones that are partly in the shape of imperfection, and partly in the shape of some higher buckling mode. Simply-supported boundary conditions are considered and the maximum displacement and the static buckling load are evaluated nontrivially. The results show, among other things, that generally the static buckling load, λs decreases with increased imperfection and that the displacement in the shape of imperfection gives rise to the least static buckling load.