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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 103809, 11 pages
Research Article

A Reduced-Order Model for Complex Modes of Brake Squeal Model and Its Application to a Flexible Pin-on-Disc System

Lijun Zhang,1,2 Jun Wu,1,2 and Dejian Meng1,2

1School of Automotive Engineering, Tongji University, Shanghai 201804, China
2Collaborative Innovation Center for Intelligent New Energy Vehicle, Tongji University, Shanghai 201804, China

Received 16 March 2015; Accepted 13 May 2015

Academic Editor: Roman Lewandowski

Copyright © 2015 Lijun Zhang et al. 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.


Brake squeal is often analytically studied by a complex eigenvalue analysis of linearized models of the brake assembly that is usually quite large. In this paper, a method for determining those frequencies having the most effect on the pair of coupling frequencies that saves much time is put forward and a reduced-order model is presented based on the complex modes theory. The reduced-order model is proved to be effective when applied to a flexible pin-on-disc system; even damping and nonlinearity are taken into consideration. This reduced-order model can predict the onset of squeal as well as the squeal frequency with sufficient accuracy and largely reduced amount of calculation and gives us a practical guide to perform design optimization in order to reduce brake squeal.