Sensitivity studies of friction-induced vibration

Friction-induced vibration is notoriously twitchy. This paper examines the origin of the sensitivity, using a model with two linear systems coupled at a single-point sliding contact where a general linearised model for dynamic frictional force is allowed. Sensitivity and convergence studies show that system uncertainty is significant enough to affect the stability of predictions and that modes neglected from the model can sensitively affect predictions. Some key results from a large-scale experimental study are presented. The integration of the uncertainty and sensitivity analysis with data-processing techniques to extract reliable data allows critical evaluation of the modelling details.

[1]  Vincent Cotoni,et al.  Response variance prediction in the statistical energy analysis of built-up systems. , 2004, The Journal of the Acoustical Society of America.

[2]  Philippe Duffour,et al.  Noise generation in vehicle brakes , 2002 .

[3]  Jim Woodhouse,et al.  Instability of systems with a frictional point contact. Part 1: basic modelling , 2004 .

[4]  Chen Guangxiong,et al.  Correlation of a negative friction-velocity slope with squeal generation under reciprocating sliding conditions , 2003 .

[5]  T. Butlin,et al.  Sensitivity of friction-induced vibration in idealised systems , 2009 .

[6]  Oliver M. O’Reilly,et al.  On dissipation-induced destabilization and brake squeal: A perspective using structured pseudospectra , 2007 .

[7]  E. Rabinowicz,et al.  Friction and Wear of Self-Lubricating Metallic Materials , 1975 .

[8]  R. Langley,et al.  A hybrid method for the vibration analysis of complex structural-acoustic systems , 1999 .

[9]  Chen Guangxiong,et al.  Time-frequency analysis of friction-induced vibration under reciprocating sliding conditions , 2007 .

[10]  Oliviero Giannini,et al.  Experimental analysis of brake squeal noise on a laboratory brake setup , 2006 .

[11]  K. Johnson,et al.  Energy Dissipation at Spherical Surfaces in Contact Transmitting Oscillating Forces , 1961 .

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

[13]  John E. Mottershead,et al.  Vibration and squeal of a disc brake: Modelling and experimental results , 2003 .

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

[15]  Staffan Jacobson,et al.  The effect of reduced contact area on the occurrence of disc brake squeals for an automotive brake pad , 2000 .

[16]  A. Akay,et al.  Stability of Friction-Induced Vibrations in Multi-Degree-of-Freedom Systems , 1994 .

[17]  Utz von Wagner,et al.  Minimal models for disk brake squeal , 2007 .

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

[19]  P Duffour,et al.  Instability of systems with a frictional point contact. Part 2: model extensions , 2004 .

[20]  Panayiotis Papadopoulos,et al.  On the transient dynamics of a multi-degree-of-freedom friction oscillator: a new mechanism for disc brake noise , 2005 .

[21]  H. Blok Fundamental Mechanical Aspects of Boundary Lubrication , 1940 .

[22]  M. Weiss,et al.  Robust and optimal control : By Kemin Zhou, John C. Doyle and Keith Glover, Prentice Hall, New Jersey, 1996, ISBN 0-13-456567-3 , 1997, Autom..

[23]  H Jacobsson Aspects of Disc Brake Judder , 2003 .

[24]  J. Woodhouseb,et al.  Instability of systems with a frictional point contact — Part 3 : Experimental tests , 2007 .

[25]  David J. Ewins,et al.  Modal Testing: Theory, Practice, And Application , 2000 .

[26]  Isaac Elishakoff,et al.  Controversy Associated With the So-Called “Follower Forces”: Critical Overview , 2005 .

[27]  Fang Zhang,et al.  Sensitivity analysis of brake squeal tendency to substructures’ modal parameters , 2006 .

[28]  R. Ibrahim Friction-induced vibration, chatter, squeal, and chaos: Part I - Mechanics of friction , 1992 .

[29]  L. Gaul,et al.  A minimal model for studying properties of the mode-coupling type instability in friction induced oscillations , 2002 .

[30]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

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

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

[33]  Charles M. Krousgrill,et al.  An Efficient Approach to Estimate Critical Value of Friction Coefficient in Brake Squeal Analysis , 2007 .

[34]  Eugen J. Skudrzyk,et al.  Simple and Complex Vibratory Systems , 1969 .

[35]  Nadim A. Emira Friction-induced oscillations of a slider: Parametric study of some system parameters , 2007 .

[36]  Ju-Sim Kim,et al.  a Study on the Squeal of a Drum Brake which has Shoes of Non-Uniform Cross-Section , 2001 .

[37]  Yoshihiko Sugiyama,et al.  Dynamic stability of columns subjected to follower loads : A survey , 2000 .

[38]  David Crolla,et al.  A predictive tool to evaluate disc brake squeal propensity. Part 3: Parametric design studies , 2003 .

[39]  James Barber,et al.  Thermoelastic instabilities in the sliding of conforming solids , 1969, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.