A thin elastic shell in form of a circular cylinder is assumed to have small initial deformation_ The shell is assumed to suffer the following loads in succession : (a) At a state of static equilibrium, it is under the action of a normal pressure q1, together with an axial thrust P. (b) During the period 0<t<t0, the shell is suddenly acted on by an additional normal pressure q2. (c) At time t0<t onwards, the pressure q2 ceases to act, and the static pressure q1 only acts upon the shell.In Part I of this report, the author has shown a theoretical formula which gives the amount of deformation (vibratory) of the shell at three stages (a), (b) and (c) as mentioned above. In this Part II, the author takes up a special case of a shell whose diam. is equal to 10m, the thickness 6cm, and the length 15m. The numerical values concerning the deformation of this specific shell is obtained, based on theoretical formula as mentioned above.