A minimal model for studying properties of the mode-coupling type instability in friction induced oscillations

On the minimal model for the low frequency wobbling instability of friction discs

“…The second one is the mode coupling which was investigated extensively in connection with the break squeal problem [15 -18]. The models [15] and [17] are quite general and mainly oriented on the principal effect of the non-symmetric stiffness matrix generated through friction forces. The models [16] and [18] are more specific and concentrated on specific properties of the brake, i.e.…”

The influence of joints on friction induced vibration in brake squeal

“…the whole-joint is represented by a single dynamical equation [15], and a minimal model prone to friction induced oscillation. We assume that the time-scales of processes in the frictional interface can be separated from the time-scales of the structural dynamics, as it is usually done in studies focusing on flutter type instabilities [32,33,34,35]. Following up earlier work [19,20,21], we focus on the role that joint characteristics have on limit cycle amplitudes and bifurcation structures.…”

Effect of Control Measures on Wheel/Rail Noise When the Vehicle Curves

“…To use (24) and (25) solving Equation (20), the relationship ofp i andv ni needs to be determined. The relationship of them can be written as:…”

“…Huang [23] reviewed the curve squeal models, and developed a curve squeal model including a self-excited loop and relationship between wheel/rail motions and contact forces. A number of authors have proposed an alternative mechanism based on 'mode coupling', which has been explained in a simplified form by Hoffmann et al [24,25], see also [26]. More recently Thompson comprehensively reviewed two mechanisms ('falling friction' and 'mode coupling'), experimental and theoretical work in the field of curve squeal and discussed mitigation measures in terms of these two mechanisms [27].…”