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This paper presents the analytical model of a brake system to investigate the low frequency vibration. The purpose of this study is to model and validate brake system vibration. The brake model was developed by applying the theory of sinusoidal traveling waves and wave super positioning. An experimental modal analysis (EMA) of the brake disc has been carried out to obtain the natural frequencies. Wave equations were then formulated based on the experimental data. These waves are super positioned to be shown as a single spatial and temporal function that will provide periodic excitation to the brake pad. The brake pad was modeled as a beam element with distributed friction force. The differential equations were solved using Green's dynamic formulation. The model is capable of predicting vibration behavior of the brake pad for whole range below 1 kHz which has shown strong agreement with the experimental results validated through in-house brake dynamometer.

Disc brake squeal can be classified as a form of friction-induced vibration. The elimination of brake squeal noise is very important as the problem causes discomfort of the vehicle occupant as well as pedestrians. This paper presents a new methodology for predicting disc brake squeal using finite element analysis considering both thermal effects and the structural compliance of brake components. An integrated dynamic study of non-linear contact pressure analysis and a fully coupled transient thermal analysis under variation of contact algorithm are performed before executing the instability study of a typical passenger car brake system using the complex eigenvalue analysis method. Based on the results of this exercise, a parametric study on the materials of brake components is carried out to define suitable design guidelines to reduce or to eliminate squeal problems.