Disc Brake Vibration Model Based on Stribeck Effect and Its Characteristics under Different Braking Conditions

Shugen Hu,Yucheng Liu

doi:10.1155/2017/6023809

Abstract

A 7-degree-of-freedom (DOF) vibration model of a fixed-caliper disc brake system was developed herein based on the Stribeck effect. Furthermore, a dynamometer brake test was conducted to determine the characteristic system parameters of the 7-DOF vibration model. This model was developed to study the effects of braking conditions, such as disc rotational speed and brake pressure on brake noise. The complex eigenvalues of the system were also calculated to analyze the brake model stability under different braking conditions. The acceleration time history diagrams and phase plots were obtained by solving the equations of the system. The numerical calculation results showed that the brake noise increased with an increasing braking force and a decreasing breaking speed. These numerical findings were verified by the results of the dynamometer tests.

Highlights

Fixed-caliper disc brakes are widely used in passenger and light commercial vehicles
This study developed a 7-DOF vibration model of a fixedcaliper disc brake based on the Stribeck effect
The acceleration time history diagrams and the phase plots of each DOF in the vibration system were obtained by solving the system equations, revealing regular relationships among the brake pressure, disc rotational speed, and generated noise

Summary

Introduction

Fixed-caliper disc brakes are widely used in passenger and light commercial vehicles. Studies on brake noise began in the 1930s [4] when researchers conducted diverse investigations from different perspectives, including frictional properties of utilized materials and structures of the brake system parts [5, 6] These studies revealed a close relationship between brake noise and vibrational excitation caused by friction between the disc and the lining [7, 8]. The theory of this relationship is based on the two following basic characteristics of friction coefficients: (1) the static friction coefficient is higher than the sliding friction coefficient and (2) the friction coefficients decrease with the increasing relative velocity within a certain range. The effects of the braking conditions on the system stability were studied

Establishment of the Brake Vibration System

Figure 2

Numerical Calculations

Dynamometer Tests

Conclusion