A flow induced system with dry friction

✍ Scribed by Aleš Tondl; Radoslav Nabergoj

• Book ID: 103980976
• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 812 KB
• Volume: 7
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/0960-0779(95)00076-3

✦ Synopsis

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 system, Chaos, Solitons & Fructals 4, 2193-2202(1994)]. Here, a system with dry friction acting on the body is considered. It is proved that the trivial solution is stable and that the semi-trivial solution (non-oscillating pendulum) is unstable in the whole range of the flow velocity. The non-trivia1 solution (both body and pendulum are oscillating) exists only above a certain threshold. The analytical solutions are compared with the results of numerical investigation. Vibration records are complemented by mapping diagrams. l trivial solution x = x0 = const., Q, = 0, where --G/q* < x0 < 0/q'; 0 semi-trivial solution x # const., 91 = 0; 0 non-trivial solution x f const., Q, # 0.

The stability analysis of the trivial solution for 6 = 0 is straightforward and has not been 35.1