Stability Analysis for a Self-exciting Mechanism with Friction Using Interval Computations

Sébastien Berger (1) , Jean-Jacques Sinou (2)

1 MIPS - Modélisation, Intelligence, Processus et Système
2 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

The aim of this paper is to present a new strategy based on the interval analysis for the prediction of stable and unstable regions of mechanical systems subjected to friction-induced instability. For the sake of simplicity, a twodegree- of-freedom minimal model is constructed and analysed to examine the numerical procedure and interval algorithm. The efficiency and robustness of the proposed method is demonstrated through numerical simulations versus the variation of the friction coefficient and the damping factor.

Mots clés: Robust design; Self-exciting mechanism; Stability analysis; Interval analysis; Friction-induced vibration

Domaines: Mécanique [physics.med-ph]

Sébastien Berger, Jean-Jacques Sinou. Stability Analysis for a Self-exciting Mechanism with Friction Using Interval Computations. International Journal of Vehicle Structures & Systems, 2011, 3 (1), pp.14-20. ⟨10.4273/ijvss.3.1.02⟩. ⟨hal-00851920⟩