| Abstract: | The dynamic stability of an elastic column subjected to random or deterministic support motion is studied via the Liapunov method. The definitions of mean square stability and the related theorems are presented. Several criteria regarding the stability of the equilibrium state of the column are established. It is shown that if the static axial loading is less than the Euler critical load and the base acceleration is absolute integrable in the mean for random motion of the support or simply absolute integrable for deterministic motion of the base, the equilibrium state of the column is stable. |
