Deformation of the Shell of the Cylindrical Cryogenic Tank during its Filling

Abstract

A complex mathematical model of the thermo-deformed state of a circular cylindrical shell reinforced by stringers for a vertically installed cryogenic tank during its filling was constructed. The model describes the local deviation of the shell generatrix due to the nonuniform temperature distribution and the action of an axial compressive load. Relations describing the temperature distribution along the shell and its radial displacement were obtained. The quantitative analysis of these relations was carried out. Estimations of the shell generating line deviation from the original rectilinear form, which can decrease the level of the critical axial loads and cause the shell buckling, are presented.