Cylindrical shells subjected to vertical edge deformation and internal pressure

摘要

The problem of cylindrical shells under vertical edge deformation is considered in this paper. The deformation shape is assumed in the form of a saddle, represented by cosine curve at n = 2. This reflects the practical problem of settlement of storage tanks and bins. The radial and tangential movements are restrained at both ends, while the vertical displacements is imposed at the base. Initially a simple solution based on membrane theory is given in terms of meridional stresses at the base. The solution is compared with finite element analysis results. Linear buckling analysis is also presented and simplified expressions given for critical stress; the associated eigenmode is one of shear. Under combined internal pressure and vertical harmonic settlement, non-linear analysis shows that the eigenmode is not evident but failure occurs at the base as an 'elephant foot' phenomenon.