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

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 two-degree-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.