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Mihajlovic, N.; van de Wouw, N.; Hendriks, M. P. M.; Nijmeijer, H.

Friction-induced limit cycling in flexible rotor systems: An experimental drill-string set-up. (English) Zbl 1170.70303

Nonlinear Dyn. 46, No. 3, 273-291 (2006).
Summary: Friction-induced limit cycling deteriorates system performance in a wide variety of mechanical systems. In this paper, we study the way in which essential friction characteristics affect the occurrence and nature of friction-induced limit cycling in an experimental drill-string set-up. This study is performed on the level of a Lyapunov-based stability analysis and on the level of both numerical and experimental bifurcation analyses. The synthesis of these results confirms that friction-induced limit cycling is due to a subtle balance between negative damping at lower velocities and viscous friction at higher velocities. Moreover, it is shown how these essential friction characteristics depend on physical conditions such as temperature and normal forces in the frictional contact in the experimental set-up.

Cited in 8 Documents

MSC:

70-05 Experimental work for problems pertaining to mechanics of particles and systems
70K05 Phase plane analysis, limit cycles for nonlinear problems in mechanics
70F40 Problems involving a system of particles with friction
74H45 Vibrations in dynamical problems in solid mechanics

Keywords:

discontinuous bifurcations; experimental non-smooth dynamics; flexible rotor systems; friction-induced vibrations
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References:

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