Numerical prediction of brake friction pair vibration using dynamics green's function

The prediction capability of the brake system vibration is still unable to cover a broad range of frequencies. Current predictive models are contained within a particular range to cater for specific vibration types. Therefore, a numerical model which could make predictions in a broad spectrum range is required. The model presented in this paper is derived with such aim. The model is derived from the interaction between the friction pairs with the focus on the brake pad. The brake disc is simplified as a travelling sinusoidal wave. Where else, the brake pad is modelled as a EulerBernoulli beam with forces and distributed friction acting upon it. The Dynamic Green Equation applied in solving the derived friction pair equation. The outcome of the developed model predicted brake pad vibrational frequency coinciding accurately with brake dynamometer experimental results. Therefore, the validated model could be a viable prediction and study tool for various brake system parameters.