A FLOW-INDUCED SYSTEM WITH DRY FRICTION

A flow induced system, consisting of an elastically mounted body with a pendulum attached, was analysed by Tondl and Nabergoj [A. Tondl and R. Nabergoj, Non-periodic and chaotic vibrations in a flow induced sys tem, Chaos, Solitons & Fractals 4, 2193-2202 (1994)]. Here, a system w ith dry friction acting on-the body is considered. It is proved that t he trivial solution is stable and that the semi-trivial solution (non- oscillating pendulum) is unstable in the whole range of the flow veloc ity. The non-trivial solution (both body and pendulum are oscillating) exists only above a certain threshold. The analytical solutions are c ompared with the results of numerical investigation. Vibration records are complemented by mapping diagrams.