Experimental and numerical investigation of friction-induced vibration of a beam-on-beam in contact with friction

The vibrations generated by friction are responsible for various noises such as squealing, squeaking and chatter. Although these phenomena have been studied for a long time, it is not well-understood. In this study, an experimental and numerical study of friction-induced vibrations of a system composed of two beams in contact is proposed. The experimental system exhibits periodic steady state vibrations of different types. To model and understand this experimental vibratory phenomenon, complex eigenvalue and dynamic transient analyses are performed. In the linear complex eigenvalue analysis, flutter instability occurs via the coalescence of two eigenmodes of the system. This linear study provides an accurate value of the experimental frequency of vibration. To understand what happens physically during friction-induced instability, a dynamic transient analysis that takes account of the non-linear aspect of a frictional contact is performed. In this analysis, friction-induced instability is characterized by self-sustained vibrations and by stick, slip and separation zones occurring at the surface of the contact. The results stemming from this analysis show that good correlation between numerical and experimental vibrations can be obtained (in time and frequency domains). Moreover, time domain simulations permit understanding the physical phenomena involved in two different vibratory behaviours observed experimentally. (C) 2010 Elsevier Ltd. All rights reserved.

[1]  Laurent Baillet,et al.  Instabilities generated by friction in a pad–disc system during the braking process , 2007 .

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

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

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

[5]  Aldo Sestieri,et al.  Predictive model of squeal noise occurring on a laboratory brake , 2006 .

[6]  John R. Rice,et al.  Fault rupture between dissimilar materials: Ill-posedness, regularization, and slip-pulse response , 2000 .

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

[8]  Oliviero Giannini,et al.  Effect of damping on the propensity of squeal instability: an experimental investigation. , 2008, The Journal of the Acoustical Society of America.

[9]  John E. Mottershead,et al.  Vibration- and friction-induced instability in disks , 1998 .

[10]  M. Raous,et al.  Dynamic stability of finite dimensional linearly elastic systems with unilateral contact and Coulomb friction , 1999 .

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

[12]  Hartmut Hetzler,et al.  On moving continua with contacts and sliding friction: Modeling, general properties and examples , 2009 .

[13]  L. Gaul,et al.  Effects of damping on mode‐coupling instability in friction induced oscillations , 2003 .

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

[15]  Jaeyoung Kang.  Parametric study on friction-induced coupled oscillator , 2008 .

[16]  A. Akay.  Acoustics of friction. , 2002, The Journal of the Acoustical Society of America.

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

[18]  M. L. Chargin,et al.  Nonlinear dynamics of brake squeal , 1997 .

[19]  P. E. Gautier,et al.  TGV disc brake squeal , 2006 .

[20]  L. Baillet,et al.  Mixed finite element formulation in large deformation frictional contact problem , 2005, math/0502162.

[21]  George G. Adams,et al.  Steady Sliding of Two Elastic Half-Spaces With Friction Reduction due to Interface Stick-Slip , 1998 .

[22]  Gui-Rong Liu,et al.  Analysis of disc brake squeal using the complex eigenvalue method , 2007 .

[23]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[24]  Oliver M. O’Reilly,et al.  Automotive disc brake squeal , 2003 .

[25]  M. Raous,et al.  Friction and instability of steady sliding: squeal of a rubber/glass contact , 1999 .

[26]  F. Tisseur.  Backward error and condition of polynomial eigenvalue problems , 2000 .

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

[28]  W. Han,et al.  Contact problems in elasticity , 2002 .

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

[30]  Joseph C. S. Lai,et al.  Brake squeal: a literature review , 2002 .

[31]  Quoc Son Nguyen,et al.  Instability and friction , 2003 .