Disc brake squeal analysis using nonlinear mathematical model

The main objective of this paper is to understand the effect of system parameters on the stability of a nonlinear squeal model. Thus, a two degree of freedom system model is developed where the brake disc and the brake pad are coupled through a sliding friction interface. The friction characteristics at this contact interface is defined with a relative velocity dependent profile, i.e., a dynamic friction model is utilized. First the governing equations of the nonlinear system are derived, and then these equations are linearized through some assumptions. The stability of the system under varying parameters are examined with the complex eigenvalue solution approach. Finally, the stability analysis reveals that a decrease in the brake disc to brake pad stiffness increases the tendency of the system to unstable behavior. Thus, the possibility of the squeal noise occurrence increases.