Modal Based Rotating Disc Model for Disc Brake Squeal

Modelling of disc in brake squeal analysis is complicated because of the rotation of disc and the sliding contact between disc and pads. Many analytical or analytical numerical combined modeling methods have been developed considering the disc brake vibration and squeal as a moving load problem. Yet in the most common used complex eigenvalue analysis method, the moving load nature normally has been ignored. In this paper, a new modelling method for rotating disc from the point of view of modal is presented. First finite element model of stationary disc is built and modal parameters are calculated. Then the dynamic response of rotating disc which is excited and observed at spatial fixed positions is studied. The frequency response function is derived through space and time transformations. The equivalent modal parameter is extracted and expressed as the function of rotation speed and original stationary status modal parameters. Because of rotating, each mode of the disc split to two complex modes. Finally, response of rotating disc under fixed constant force is studied using the presented equivalent modal parameters. It shows that the response consists of a static response and two travelling waves with frequencies differ from the stationary modal frequency.