DYNAMIC STABILITY OF CYLINDRICAL SHELLS TAKING INTO ACCOUNT IN-PLANE INERTIA AND IN-PLANE DISTURBANCE.

The dynamic stability of cylindrical shells subjected to periodic axial load or periodic external pressure is considered. The equations of motion taking into account the in-plane inertia and the in-plane disturbance are derived. Applying the Bolotin method, the effects of the in-plane inertia and the in-plane disturbance on the principal instability regions of the cylindrical shells are examined. Some of the results show that their effects are remarkable in the case of periodic axial load at low frequencies and in the case of periodic external pressure at high frequencies. This study also includes the comparison of the results for the theories due to authors such as Mizoguchi, Fluegge and Donnell.