A lumped parameter model for disk brake squeal and its suppression through use of dither signals

This paper presents a model for reducing the brake squeal by utilising a harmonic force, the so-called dither force. Two different positions for the dither force were considered, namely perpendicular and parallel to the braking pressure. As this harmonic force is applied to the brake system by piezoelectric actuator that is fixed in the piston of the brake system, therefore, the parallel configuration is more practical. The equations of motion for both cases were solved and it was shown that even by applying a large force, the stick-slip phenomena cannot be suppressed completely. Next, the sliding mode and computed torque method control strategies were applied to the system with parallel configuration. The results indicate that both methods can effectively suppress the brake squeal.

[1]  Daniel Hochlenert,et al.  Different Control Strategies for the Active Suppression of Brake Squeal , 2005 .

[2]  J. E. Oh,et al.  Analysis of disc brake instability due to friction-induced vibration using a distributed parameter model , 2008 .

[3]  C. A. Tan,et al.  Suppression of Self-Excited Vibration by Dither Technique with Potential Application to Reduce Brake Squeal , 2004 .

[4]  John E. Mottershead,et al.  Friction-induced parametric resonances in discs: Effect of a negative friction-velocity relationship , 1998 .

[5]  S. W. E. Earles,et al.  Instabilities Arising From the Frictional Interaction of a Pin-Disk System Resulting in Noise Generation , 1976 .

[6]  Carlos Canudas de Wit,et al.  A survey of models, analysis tools and compensation methods for the control of machines with friction , 1994, Autom..

[7]  Aldo Sestieri,et al.  Brake squeal: Linear and nonlinear numerical approaches , 2007 .

[8]  Gottfried Spelsberg-Korspeter.  Breaking of symmetries for stabilization of rotating continua in frictional contact , 2009 .

[9]  Michael J. Brennan,et al.  Analysis of disc brake noise using a two-degree-of-freedom model , 2002 .

[10]  S. Earles,et al.  A MECHANISM OF DISC-BRAKE SQUEAL , 1977 .

[11]  Huajiang Ouyang,et al.  Numerical analysis of automotive disc brake squeal: a review , 2005 .

[12]  Michael Michaux.  Suppression of Friction-Induced Oscillations through Use of High-Frequency Dither Signals , 2005 .

[13]  S W E Earles,et al.  Oscillatory Instabilities Generated in a Double-Pin and Disc Undamped System: A Mechanism of Disc-cbrake Squeal , 1984 .

[14]  Gottfried Spelsberg-Korspeter,et al.  Minimal models for squealing of railway block brakes , 2011 .

[15]  Kenneth A. Cunefare,et al.  Disc Brake Rotor Squeal Suppression Using Dither Control , 2001 .

[16]  N. Millner.  An Analysis of Disc Brake Squeal , 1978 .

[17]  Peter Hagedorn,et al.  In- and Out-of-plane Vibrations of a Rotating Plate with Frictional Contact: Investigations on Squeal Phenomena , 2009 .

[18]  John E. Mottershead,et al.  Linear eigenvalue analysis of the disc‐brake squeal problem , 2004 .