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

The current study investigates the disc brake squeal by using an annular disc in contact with two pads subject to distributed friction stresses. The disc and pads are modeled as rotating annular and stationary annular sector plates, respectively. Friction stress is described on the deformed disc surface as distributed non-conservative friction-couples and frictional follower forces. From disc doublet-mode and multiple-mode models, the mode-coupling mechanism influenced by disc rotation is examined. In automotive applications, the frictional mode-coupling resulting from friction couple is shown to be the major mechanism for dynamic destabilization, whereas the effects of disc rotation on flutter destabilization are found to be small. On the verge of stop, however, the rotation effects effectively stabilize the steady sliding. This comprehensive brake model has shown that there is a speed corresponding to maximum squeal propensity for each flutter mode.