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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 6023809, 13 pages
https://doi.org/10.1155/2017/6023809
Research Article

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

College of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China

Correspondence should be addressed to Shugen Hu; nc.ude.ujz@jdgsh

Received 9 March 2017; Revised 17 April 2017; Accepted 23 April 2017; Published 28 May 2017

Academic Editor: Oleg V. Gendelman

Copyright © 2017 Shugen Hu and Yucheng Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.