抄録
The dynamic instability of a free-free column subjected to a tangential follower force in space has been investigated. The experiment of such a nonconservative system in space cannot be conducted on the ground, because the boundary conditions of the column are all free, and thus the column moves away, accelerated by the thrust. Therefore, in this paper, a suspended column on the ground is proposed to simulate the dynamic instability phenomena of a portion from the nodal point to the trailing end of an accelerated free-free column in space. One end of the model is supported by a rotational spring and the other end is free and thrusted tangentially. The mathematical model and the original one are formulated using a finite-element method, and the vibration modes are compared to discuss the equivalency of the two systems. The rotational spring constants satisfying the equivalency are obtained for the cases with and without structural damping.
