Buckling of Axially Compressed Circular Cylindrical Shells at Stresses Smaller Than the Classical Critical Value

Abstract

Closed-form solutions are given of the linear Donnell equations defining the buckling of thin-walled circular cylindrical shells subjected to uniform axial compression. In addition to the classical simple support conditions requiring the vanishing of the radial displacement, the axial bending-moment resultant, the axial additional normal-stress resultant, and the circumferential displacement, three other, equally justifiable, simple support conditions are defined and studied in the case of the semi-infinite shell. Two of them yield buckling stresses amounting to about one half the classical critical stress.

Computerized buckling analysis of shells

“…[ 325] seem to indicate that with increasing shortening of the cylinder the postbuckling load asymptotically approaches zero or, if more accurate basic equations had been used, a value that is dependent cn the radius-to-thickness ratio of the shell but which for practical dimensions is very small. As a result of these studies it has been determined that the mini- Some of the papers [ 326,327] retain the assumption common to most previous shell-buckling analyses that the prebuckling conditions can Le sufficiently accurately described by use of a nonlinear membrane solution.…”

On refined analysis of bifurcation buckling for the axially compressed circular cylinder

“…S3 and S2 ? S4 this phenomenon was noticed already by Ohira (1961), Hoff and Rehfield (1965), and Almroth (1966). The difference is particularly large for ECL and decreases as the length l increases.…”

Classical Solution and Edge Effect in the Problem of Stability of an Axially Compressed Cylindrical Shell

“…Studies of the edge effect on the axially compressed cylindrical shells were carried out by Geckeler [11], Fisher [12], Ohira [13], Almros [6], Hoff and Reifeld [14]. Especially important are the results obtained by Almros.…”