Paradoxical buckling behaviour of a thin cylindrical shell under axial compression

The widely accepted theory of buckling of thin cylindrical shells under axial compressive loading emphasises the sensitivity of the buckling load to the presence of initial imperfections. These imperfections are conven-tionally taken to be minor geometric perturbations of a shell which is initially stress-free. The original aim of the present study was to investigate the e!ect on the buckling load of imperfections in the form of local initial stress, which are probably more typical of practice than purely geometric ones. Experiments were performed on a vertical `melinexa cylinder of diameter &0.9 m and height &0.7 m, with radius/thickness ratio &1800. The upper and lower edges of the cylinder were clamped to end discs by means of circumferential belts * an arrangement that allowed states of self-stress to be introduced to the shell readily by means of local `uplifta at the base. The upper disc was made su$ciently heavy to buckle the shell, and it was supported by a vertical central rod under screw control. Many buckling tests were performed. Surprisingly, the buckling loads were generally at the upper end of the range of fractions of the classical buckling load that have been found in many previous experimental studies. Even when the local uplift at the base caused a local `dimplea to be formed before the shell was loaded, the buckling load was relatively high. A surface-scanning apparatus allowed the geometric form of the shell to be monitored, and the progress of such a dimple to be followed; and it was foun