Effect of Split Doublet Mode Pair on Brake Squeal of the Slightly Asymmetric Disc

In this paper, the stability of the split doublet mode pair in a disc brake squeal is analytically investigated. A reduced-order doublet mode model is derived based on the formulation of annular plate vibration, sliding contact kinematics, and the assumed mode method. The solution is approximated using a two-mode expansion for the doublet mode pair. The time-varying motion of the slightly asymmetric rotating disc is described through the moving mode shape function method. A stability analysis of the frequency split between the doublet mode pair is performed by calculating the characteristic multipliers using the Floquet theory. The stability boundary is determined within the domain of frequency split variations and other parameters. Finally, the influence of mode splitting on the squeal behaviour of the asymmetric disc is analysed and discussed.