Comprehensive stability analysis of disc brake vibrations including gyroscopic, negative friction slope and mode-coupling mechanisms

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

“…In case of full dissipation the matrix D is positive definite. We note however that negative friction-velocity slope yields an indefinite matrix of damping forces [4,5,8,22].…”

“…[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 ( , )…”

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

“…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].…”

“…Contact stiffness over the contact thread area is newly introduced as the constant gear mesh stiffness per unit area. One major advantage of the contact stiffness modeling is to realize the contact normal and friction stress variation which is essential for friction-coupling among the system modes leading to the mode-coupling instability [11].…”