Analytical formulation of mode-coupling instability in disc–pad coupled system

Friction-induced noise of gear system with lead screw and nut: Mode-coupling instability

“…8(a) and (b) shows that the mode-coupling flutter of the two modes without damping tends to occur when the frequency separation of the statically-coupled system μ ¼ 0 ð Þis small. Mode-veering characteristics on the statically-coupled system is known to be one behavior of an undamped mode pair under mode-coupling instability [9,23]. As the frequencies of the statically-coupled mode pair approach each other, the critical friction coefficient is decreased and eventually reaches the minimum value μ f orward cr; min .…”

“…In fact, the finite element simulation on the complex eigenvalue analysis often requires enormous computing time even for a single system configuration which impedes the progress of analysis. For providing the insight over the causing mechanism and the effective sensitivity analysis, the simplified mathematical models with spring-mass [6,7] or continuous elements [8][9][10] were proposed. Particularly, the major mechanisms causing the onset of friction noise was found to be the mode-coupling and the negative friction-velocity slope [11].…”

Influence of Heterogeneous Contact Stiffness and Heterogeneous Friction Coefficient on Frictional Squeal

“…The influence of the friction coefficient and contact stiffness was always investigated based on analytical models [9,10] and finite element models [11,12], and it has been accepted that high values for friction coefficient lead to high levels of dynamic instability [13,14]. However, researches focus more on the influence of mean value of friction coefficient and integral contact stiffness, and the heterogeneities of friction coefficient and contact stiffness are neglected.…”

Sensitivity of Sub-critical Mode-coupling Instabilities in Non-conservative Rotating Continua to Stiffness and Damping Modifications

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Although both modal analysis and transient analysis of the nonlinear system [16,17] are the two widely accepted complementary methods in modern treatments of such problems, we will concentrate on the former in this paper.…”

“…In the literature on brake squeal there is a tendency to take into account all possible forces [5,6]. We look now what happens with the stability boundary in the ( , )…”