Symmetrical Buckling of Cylindrical Shells under External Pressure

The buckling of cylindrical shells under external pressure was analyzed on the basis of the theory of finite deformation. Restricting the authors' consideration to the case of boundary conditions, i.e.clamped straight edges and simply supported circumferential edges, the relations between the pressure and the deflection were obtained. The conclusions were as follows : 1.The "Durchschlag" phenomenon may take place more easily, if the values of 1/λ, 〓0 and a/t are larger (λ=(y0/l)2, y0=a〓0, see Fig.2.). 2.The upper buckling pressure is lower, if the values of 1/λ, 1/〓0 and a/t are larger. 3. The main characteristic for the case of cylindrical shell, which differs from that of spherical shell, lies in the fact that upper and lower buckling pressures have not minimum values against α(=(a<〓0>2)/t). The cases of other boundary conditions can be analyzed with the same process as described in this paper.