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A mathematical model for representing the vibration behavior of a disc brake is presented. Special emphasis has been put on the need to simulate the high frequency response by the use of continuous flexible elements, to represent the most important components of the brake. The simple mathematical modeling approach allows for conceptual understanding of the squeal generation mechanisms. In this study, the effect of the variation of system parameters over the length of the components, is investigated.

Disc brake squeal is a widespread cause for discomfort. The purpose of the work is to gain insight into the disc brake squeal problem and to investigate the mechanisms that generate instabilities that leads to audible noise. This paper presents a mathematical model for high frequency disc brake noise. Information of the flexible properties of the components is used to generate a small yet appropriate model. By using the technique of “Assumed Modes Method”, a model incorporating the flexible properties of a continuous disc can be accomplished resulting in only a limited number of degrees of freedom. Knowledge of the modal properties of disc and pads are used to select assumed modes for the model components. The basic concept of mode coupling is the starting point: Two orthogonal modes are present in a disc at the same frequency owing to it's rotational symmetry.