Instabilities generated by friction in a pad–disc system during the braking process

Abstract This paper presents a numerical and experimental study of a pad–disc tribometer. The explicit dynamic finite element software PLAST 3 in 3-D is used to simulate the behaviour of the two bodies involved. Coulomb's friction law is used at the contact surface with a constant coefficient. For this application, temporal simulations show that separation occurs between surfaces, proof of instabilities. This unstable state is characterized by a stick–slip–separation wave. We show that instabilities describe a periodic shock phenomenon at the contact interface. Consequently, the acceleration spectrum recorded on the surface of the pad reveals periodicity in the frequency domain. It shows also that, in this case, the vibrations responsible for the instability are localized in the pad. The mode responsible for squealing can be obtained by a modal analysis of the pad–disc system by assuming that the interface is stuck. We highlight the importance of the pad Poisson's ratio in the occurrence of this unstable state. A numerical/experimental comparison has been performed and the fundamental frequency of squeal obtained experimentally and its magnitude agree with those calculated numerically with PLAST 3.

[1]  Tod A. Laursen,et al.  Dynamics of a state variable frictional law in finite element analysis , 1996 .

[2]  Dry friction: influence of local dynamic aspect on contact pressure, kinematics and friction. , 2003 .

[3]  Laurent Baillet,et al.  Numerical analysis of squeal instability , 2005 .

[4]  Tod A. Laursen,et al.  Stability analysis of state dependent dynamic frictional sliding , 1997 .

[5]  David Crolla,et al.  A predictive tool to evaluate disc brake squeal propensity. Part 1: The model philosophy and the contact problem , 2003 .

[6]  R. Taylor,et al.  Lagrange constraints for transient finite element surface contact , 1991 .

[7]  Guan Di-hua,et al.  Study on Brake Squeal by Feed-In Energy Analysis , 2001 .

[8]  W Hendricx,et al.  Experimental and Numerical Modelling of Friction Induced Noise in Disc Brakes , 2002 .

[9]  R. T. Spurr A Theory of Brake Squeal , 1961 .

[10]  Charles M. Krousgrill,et al.  Modeling of automotive drum brakes for squeal and parameter sensitivity analysis , 2006 .

[11]  David Crolla,et al.  A predictive tool to evaluate disc brake squeal propensity Part 2: System linearisation and modal analysis , 2003 .

[12]  J. Dieterich Modeling of rock friction: 1. Experimental results and constitutive equations , 1979 .

[13]  A. Ruina Slip instability and state variable friction laws , 1983 .

[14]  M Nishiwaki Generalized Theory of Brake Noise , 1993 .

[15]  L. Baillet,et al.  Influence of sliding contact local dynamics on macroscopic friction coefficient variation , 2005 .

[16]  R. Ibrahim Friction-Induced Vibration, Chatter, Squeal, and Chaos—Part I: Mechanics of Contact and Friction , 1994 .

[17]  Chin An Tan,et al.  Disc Brake Squeal: Mechanism, Analysis, Evaluation, and Reduction/Prevention , 2006 .

[18]  Raouf A. Ibrahim,et al.  Friction-Induced Vibration, Chatter, Squeal, and Chaos—Part II: Dynamics and Modeling , 1994 .

[19]  J. Flint,et al.  LINING-DEFORMATION-INDUCED MODAL COUPLING AS SQUEAL GENERATOR IN A DISTRIBUTED PARAMETER DISC BRAKE MODEL , 2002 .

[20]  John E. Mottershead,et al.  A methodology for the determination of dynamic instabilities in a car disc brake , 2000 .