On the Influence of Damping Affected to the Elastic Stability of the Structures Subjected to the Nonconservative Loads

In this paper applying the analytical method of nonconservative elastic stability of framed structure, which has been represented by authors in Ref. 7), the influence of damping affected to the elastic stability is reexamined. It is assumed that damping force proportional to a derivative of displacement with respect to time is considered and damping matrix can be diagonalized by modal matrix. It is confirmed that there is no effect of damping on the critical load of a elastic system which a divergence instability phenomenon is happened in the case without damping and, in a elastic system which a flutter instability phenomenon is happened in the case without damping and, in a elastic system which a flutter instability phenomenon is happened in the case without damping, i.e., Beck's system, damping have a stabilizing effect if each element of the diagonalized damping matrix are equal and it have a destabilizing effect if elements of damping matrix mentioned above are different from each other. But this study make it clear that, in the problem of a column with nonconservative torque, damping have a stabilizing effect if it is large even through elements of damping matrix mentioned above are different from each other.