Abstract
Stability of elastic rods subjected to nonconservative tangential follower forces is rigorously investigated by means of Liapunov's Second Method in the version of Movchan, Knops, and Wilkes, i.e., adapted to the specific nature of continuous systems. The result is that for such, rods internal viscous damping should have a sufficiently large magnitude in order to ensure stability. This is in agreement with, the well known fact that small damping destabilizes in the presence of nonconservative forces.
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