Chaos in brake squeal noise

Journal of Sound and Vibration

Volumn 330, Issue 5, 2011, Pages 955-975

  Oberst, S ^a   Lai, J C S ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYSIS TECHNIQUES; BRAKE SQUEAL; BRAKE SYSTEMS; CHAOTIC PHENOMENA; CHAOTIC STRUCTURE; CORRELATION DIMENSIONS; DYNAMIC INVARIANTS; EXPERIMENTAL MODELS; EXPERIMENTAL STUDIES; LYAPUNOV EXPONENT; NOISY DATA; PIN ON DISC; RECURRENCE PLOT; RECURRENCE QUANTIFICATION ANALYSIS; SYSTEMATIC ANALYSIS; TRANSIENT PHENOMENON; VEHICLE NOISE; WARRANTY COSTS;

AUTOMOTIVE INDUSTRY; COST BENEFIT ANALYSIS; DYNAMOMETERS; FINITE ELEMENT METHOD; LYAPUNOV METHODS; NONLINEAR ANALYSIS; SPEECH PROCESSING; TIME SERIES;

BRAKES;

EID: 78649448993     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2010.09.009     Document Type: Article

References (108)

1. A. Akay Acoustics of friction Journal of the Acoustical Society of America 111 4 2002 1525 1548
2. H. Abendroth, B. Wernitz, The integrated test concept: dyno-vehicle, performance-noise, SAE Technical Paper Series, 2000-01-2774, 2000.
3. M. Yang, P. Blaschke, A.-H. Afaneh, A study of disc brake high frequency squeal and disc in-plane/out-of-plane modes. SEA Technical Papers, 2003-01-1621, 2003, pp. 18.
4. N. Hinrichs, M. Oestreich, and K. Popp On the modelling of friction oscillators Journal of Sound and Vibration 216 3 1998 435 459
5. N.M. Kinkaid, O.M. O'Reilly, and P. Papadopoulos Automotive disc brake squeal Journal of Sound and Vibration 267 2003 105 166
6. H. Ouyang, W. Nack, Y. Yuan, and F. Chen Numerical analysis of automotive disc brake squeal: a review International Journal of Vehicle Noise and Vibration 1 2005 207 231
7. F. Chen Automotive disk brake squeal: an overview International Journal of Vehicle Design 51 1/2 2009 39 72
8. S. Oberst, J.C.S. Lai, A critical review on brake squeal and its treatment in practice, Internoise 2008, Shanghai, China, 2008.
9. N. Hoffmann, L. Gaul, Friction induced vibrations of brakes: research fields and activities, SAE Technical Paper Series, 2008-01-2579, 2008, pp. 18.
10. F. Cramer Chaos and Order: Complex Structure of Living Systems 1993 Wiley VCH Verlagsgesellschaft Weinheim, New York
11. H.G. Schuster, and W. Just Deterministic Chaos: An Introduction 2005 Wiley VCH Verlagsgesellschaft Weinheim-New York
12. S.J. Linz, and J.C. Sprott Elementary chaotic flow Physics Letters A 259 1999 240 245
13. S.W. Shaw On the dynamic response of a system with dry friction Journal of Sound and Vibration 108 2 1986 305 325
14. E. Ott Chaos in Dynamical Systems 1993 Cambridge University Press, GB
15. M. Kunze, and T. Kpper Qualitative bifurcation analysis of a non-smooth friction-oscillator model Zeitschrift fr Angewandte Mathematik und Physik 48 1997 87 101
16. M. Kunze, Non-smooth dynamical systems, Univeritt Kln, Habilitationsschrift, 1998.
17. J. Awrejcewicz, and P. Olejnik Analysis of dynamic systems with various friction laws Applied Mechanics Reviews 58 November 2005 389 411
18. B. Erickson, B. Birnir, and D. Lavalle A model for aperiodicity in earthquakes Nonlinear Processes Geophysics 15 2008 1 12
19. K. Popp, and P. Stelter Stickslip vibrations and chaos Philosophical Transactions: Physical Sciences and Engineering 332 1624 1990 89 105
20. B.F. Feeny, and F.C. Moon Bifurcation sequences of a coulomb friction oscillator Nonlinear Dynamics 4 1992 25 37
21. B. Feeny, and F.C. Moon Chaos in a forced dry-friction oscillator: experiments and numerical modelling Journal of Sound and Vibration 170 February 1994 303 323
22. N. Hinrichs, M. Oestreich, and K. Popp Dynamics of oscillators with impact and friction Chaos, Solitons & Fractals 8 4 1997 535 558
23. K. Shin, M.J. Brennan, J.-E. Oh, and C.J. Harris Analysis of disc brake noise using a two-degree-of-freedom model Journal of Sound and Vibration 254 5 2002 837 848
24. K. Shin, J.-E. Oh, and M.J. Brennan Nonlinear analysis of friction induced vibrations of a two-degree of freedom model for disc brake squeal JSME International Journal Series C 45 2002 426 432
25. N. Hoffmann, M. Fischer, R. Allgaier, and L. Gaul A minimal model for studying properties of the mode-coupling type instability in friction induced oscillations Mechanics Research Communications 29 2002 197 205
26. O. Giannini, A. Akay, and F. Massi Experimental analysis of brake squeal noise on a laboratory brake setup Journal of Sound and Vibration 292 2006 1 20 (Pubitemid 43253678)
27. A. Buck, Simulation von Bremsenquietschen (Brake Squeal), PhD Thesis, Lehrstuhl fr Baumechanik, Technische Universitt Mnchen, 2008.
28. G.G. Adams Self-excited oscillations of two elastic half-spaces sliding with a constant coefficient of friction ASME Journal of Applied Mechanics 62 1995 867 872
29. G.G. Adams Steady sliding of two elastic half-spaces with friction reduction due to interface stickslip ASME Journal of Applied Mechanics 65 1998 470 475
30. L. Baillet, S. D'Errico, and Y. Berthier Influence of sliding contact local dynamics on macroscopic friction coefficient variation Revue europeenne des elements finis 10 2005 1 16
31. H.R. Mills, Brake squeak, Technical Report, The Institution of Automobile Engineers, Research Report, 9000 B and 9162 B, 1938.
32. J.J. Thomson Using fast vibrations to quench friction-induced oscillations Journal of Sound and Vibration 228 5 1999 1079 1102
33. A. Bajer, V. Belsky, S. Kung, The influence of friction-induced damping and nonlinear effects on brake squeal analysis, SAE Technical Paper, 2004-01-2794, 2004, pp. 19.
34. G.X. Chen, Z.R. Zhou, P. Kapsa, and L. Vincent Experimental investigation into squeal under reciprocating sliding Tribology International 36 2003 961 971
35. D.M. Beloiu, and R.A. Ibrahim Brake squeal as dynamic instability: an experimental investigation Structural Control and Health Monitoring 13 2006 277 300
36. G.X. Chen, and Z.R. Zhou Time-frequency analysis of friction-induced vibration under reciprocating sliding conditions Wear 262 2007 1 10
37. D. Stanef, A. Papinniemi, J. Zhao, From protoype to productionthe practical nature of brake squeal noise, SAE Technical Paper Series, 2006-01-3217, 2006, pp. 110.
38. P. Duffour, and J. Woodhouse Instability with frictional point contact. Part 3: experimental tests Journal of Sound and Vibration 304 2007 186 200
39. M.T. Bengisu, and A. Akay Stability of friction-induced vibrations in multi-degree-of-freedom systems Journal of Sound and Vibration 171 4 1994 557 570
40. R.A. AbuBaker, and H. Ouyang A prediction methodology of disk brake squeal using complex eigenvalue analysis International Journal of Vehicle Design 46 2008 416 435
41. F. Massi, L. Baillet, O. Giannini, and A. Sestieri Brake squeal: linear and nonlinear numerical approaches Mechanical Systems and Signal Processing 21 2007 2374 2393
42. J. Jerrelind, and A. Stenson Nonlinear dynamics of parts in engineering systems Chaos, Solitons & Fractals 11 2000 2413 2428
43. O. Giannini, and A. Sestrieri Predictive model of squeal noise occurring on a laboratory brake Journal of Sound and Vibration 296 2006 583 601 (Pubitemid 44041391)
44. G.X. Chen, Q.Y. Liu, X.S. Jin, and Z.R. Zhou Stability analysis of a squealing vibration model with time delay Journal of Sound and Vibration 311 2008 516 536
45. K. Popp Modelling and control of friction-induced vibrations Mathematical and Computer Modelling of Dynamical Systems 11 3 2005 345 369
46. P. Kowalczyk Robust chaos and border-collision bifurcations in non-invertible piecewise-linear maps Nonlinearity 18 2005 485 504
47. A. Tuchinda, N.P. Hoffmann, D.J. Ewins, W. Keiper, Mode lock-in characteristics and instability study of the pin-on-disc system, Proceedings of the International Modal Analysis Conference, IMAC XX, Kissimee, vol. 1, 2001, pp. 7177.
48. N. Coudeyras, J.-J. Sinou, and Nacivet A new treatment of predicting the self-excited vibrations of nonlinear systems with frictional interfaces: the constrained harmonic balance method, with application to disc brake squeal Journal of Sound and Vibration 319 2009 1175 1199
49. N. Coudeyras, S. Nacivet, and J.-J. Sinou Periodic and quasi-periodic solutions for multi-instabilities involved in brake squeal Journal of Sound and Vibration 328 2009 520 540
50. G.X. Chen, and Z.R. Zhou A self-excited vibration model based on special elastic vibration mode of friction systems and time delays between the normal and friction forces: a new mechanism for squealing noise Wear 262 2007 1123 1239
51. N. Hoffmann, and L. Gaul A sufficient criterion for the onset of sprag-slip oscillations Archive of Applied Mechanics 73 2004 650 660 10.1007/S00419-033-0315-4
52. H. Ouyang, J.E. Mottershead, M.P. Cartmell, and D.J. Brookfield Friction-induced vibraion of an elastic slider on a vibrating disc International Journal of Mechanical Science 41 1999 325 336
53. N. Hoffmann, and L. Gaul Effects of damping on mode-coupling instability in friction induced oscillations Zeitschrift fr Angewandte Mathematik und Mechanik 83 8 2003 524 534
54. O. Giannini, A. Sestieri, F. Massi, A. Akay, Experimental investigation and modeling of brake squeal using simplified test rigs, SAE Technical Paper Series, 2007-01-3963, 2007, pp. 189200.
55. F. Massi, O. Giannini, and L. Baillet Brake squeal as dynamic instability: an experimental investigation Journal of the Acoustical Society of America 120 3 2006 1388 1398 (Pubitemid 44370662)
56. F. Massi, and F. Giannini Effect of damping on the propensity of squeal instability: an experimental investigation Journal of Acoustical Society of America 123 2008 2017 2023
57. B. Herv, J.-J. Sinou, H. Mah, and L. Jzquell Analysis of squeal noise and mode coupling instabilities including damping and gyroscopic effects European Journal of Mechanics A/Solids 27 2008 141 160
58. B. Herv, J.J. Sinou, H. Mah, and L. Jzquell Extension of the destabilization paradox to limit cycle amplitudes for a nonlinear self-excited system subject to gyroscopic and circulatory actions Journal of Sound and Vibration 323 2009 944 973
59. B.F. Feeny, and F.C. Moon Quenching stickslip chaos with dither Journal of Sound and Vibration 237 1 2000 173 180
60. F. Chen, A. Wang, C.A. Tan, Dynamic system instability suppression with dither technique, Proceedings of the 22nd SAE Brake Colloquium, Anaheim, CA, USA, 2004.
61. M. Paliwal, A. Mahajan, T. Don, J. Chu, and P. Filip Noise and vibration analysis of a disc-brake system using a stickslip friction model involving coupling stiffness Journal of Sound and Vibration 282 2002 1273 1284
62. H. Hetzler, D. Schwarzer, and W. Seemann Analytical investigation of steady-state stability and hopf-bifurcations occurring in sliding friction oscillators with application to low-frequency disc brake noise Communications in Nonlinear Science and Numerical Simulations 12 2007 83 99
63. H. Ouyang, Assignment of complex eigenvalues to second-order damped asymmetric systems through state-feedback, NOVEM2009, 58 April, Oxford, England, 2009.
64. H. Ouyang, L. Baeza, and S. Hu A receptance-based method for predicting latent roots and critical points in friction-induced vibration problems of asymmetric systems Journal of Sound and Vibration 321 2009 1058 1068
65. F.P. Bowden, and L. Leben Nature of sliding and the analysis of friction Nature 3572 1938 691 692
66. F.P. Bowden, and D. Tabor Mechanism of metallic friction Nature 3798 1942 197 199
67. S.W.E. Earles, G.B. Soar, Squeal noise in disc brakes, in: Vibration and Noise in Motor Vehicles, Institution of Mechanical Engineers, C 101/71, 1971, pp. 6169.
68. S.W.E. Earles, A mechanism of disc-brake squeal, SEA Technical Papers, 770181, 1978, pp. 16.
69. S.W.E. Earles, and M.N.M. Badi Oscillatory instabilities generated in a double-pin and disc undamped system: a mechanism of disc-brake squeal Proceedings of the Institution of Mechanical Engineers, Part C: Mechanical Engineering Science 198 4 1984 43 49
70. S.W.E. Earles, and P.W. Chamber Disc brake squeal noise generation: predicting its dependency on system parameters including damping International Journal of Vehicle Design 8 4/5/6 1987 538 552
71. W.W. Tworzydlo, O.N. Hamzeh, W. Zaton, and T.J. Judek Friction-induced oscillations of a pin-on-disk slider: analytical and experimental studies Wear 236 1999 9 23
72. P. Duffour, and J. Woodhouse Instability of systems with a frictional point contact. Part 1: basic modelling Journal of Sound and Vibration 271 2004 365 390
73. P. Duffour, and J. Woodhouse Instability of systems with a frictional point contact. Part 2: model extensions Journal of Sound and Vibration 271 2004 301 410
74. T. Butlin, and J. Woodhouse Sensitivity of friction-induced vibration in idealized systems Journal of Sound and Vibration 319 2009 182 198
75. J.H. Tarter, Disc brake squeal, SAE Technical Paper, 830530, 1983, pp. 18.
76. M. Suganami, M. Nakai, M. Yokoi, T. Miyahara, H. Matsui, I. Yamazaki, Disk brake squeal by a model of a rotating disk and a beam, Proceedings of the First International Symposium on Impact and Friction of Solids, Structures and Intelligent Machines, Congress Center, Ottawa, Canada, 1998.
77. A. Akay, J.A. Wickert, Z. Xu, Investigation of mode lock-in and friction interface, Technical Report, Final Report, Department of mechanical engineering, Carnegie Mellon University, 2000.
78. O. Giannini, and F. Massi Characterization of the high-frequency squeal on a laboratory brake setup Journal of Sound and Vibration 310 2008 394 408
79. F. Massi, Dynamic and Tribological Analysis of Brake Squeal, PhD Thesis, University of Rome "la Sapieza", Italy, 2006.
80. F. Massi, Y. Berthier, and L. Baillet Contact surface topography and system dynamics of brake squeal Wear 265 2008 1784 1792
81. J.C. Sprott Chaos and Time-series Analysis 2003 Oxford University Press Oxford, New York
82. H. Kantz, and T. Schreiber Nonlinear Time Series Analysis 2004 Cambridge University Press Cambridge
83. J. Stark, D.S. Broomhead, M.E. Daview, and J. Huke Takens embedding theorems for forced and stochastic systems Nonlinear Analysis, Theory, Methods & Applications 30 8 1997 5303 5314
84. J.M. Martinerie, A.M. Albano, A.I. Mees, and P.E. Rapp Mutual information strange attractors, and the optimal estimation of dimension Physical Review A 45 10 1992 7058 7064
85. N. Marwan, J. Kurths, and P. Saparin Generalised recurrence plot analysis for spatial data Physics Letters A 360 2007 545 551
86. R. Gilmore, and M. Lefranc Topology Analysis of Chaos 2002 Wiley VCH Verlagsgesellschaft
87. P. Grassberger, and I. Procaccia Characterization of strange attractors Physical Review Letters 50 5 1983 346 349
88. F.C. Moon Chaotic and Fractal Dynamics 1992 John Wiley & Sons New York, Chichester, Brisbane, Toronto, Singapore
89. Ya.B. Pesin Characteristic Lyapunov exponents and smooth ergodic theory Russian Mathematical Surveys 32 4 1977 55 114
90. N. Marwan, M. Carmen Romano, M. Thiel, and J. Kurths Recurrence plots for the analysis of complex systems Physics Reports 438 2007 237 329
91. J.-P. Eckmann, and D. Ruelle Ergodic theory of chaos and strange attractors The American Physical Society 57 3 1985 617 656
92. M.C. Romano Blasco, Synchronization Analysis by Means of Recurrences in Phase Space, PhD Thesis, Mathematisch-Naturwissenschaftliche Fakultt/Universitt Potsdam, 2004.
93. N. Marwan, M.H. Trauth, M. Vuille, and J. Kurths Comparing modern and pleistocene ENSO-like influences in NW Argentina using nonlinear time series analysis methods Climate Dynamics 21 2003 317 326
94. M. Thiel, Exploiting Naturally Occurring Analogues, PhD Thesis, Universitt Potsdam, Mathematisch-Naturwissenschaftliche Fakultt, 2004.
95. F. Chen, F. Tan, C. Chen, C.A. Tan, R.L. Quaglia, Disc brake squeal: mechanism, analysis, evaluation and reduction/prevention, SAE-Society of Automotive Engineers, 2006.
96. S. Moore, J.C.S. Lai, S. Oberst, A. Papinniemi, Z. Hamdi, D. Stanef, Design of experiments in brake squeal, Internoise 2008, Shanghai, China, 2008.
97. J. Flint, J. Hald, Traveling waves in squealing disc brakes measured with acoustic holography. SEA Technical Papers, 2003-01-3319, 2003, pp. 18.
98. Surface vehicle recommended practice, disc and drum brake dynamometer squeal noise matrix, Technical Report, SAE J2521, 2006.
99. L.L. Trulla, A. Giuliani, J.P. Zbilut, and C.L. Webber Jr. Recurrence quantification analysis of the logistic equation with transients Physical Letters A 223 4 1996 255 260
100. R. Hegger, H. Kantz, and T. Schreiber Practical implementation of nonlinear time series methods: the [small-caps TISEAN] package Chaos: An Interdisciplinary Journal of Nonlinear Science 9 2 1999 413 435
101. H. Kantz, T. Schreiber, I. Hoffmann, T. Buzug, G. Pfister, L.G. Flepp, J. Simonet, R. Badii, and E. Brun Nonlinear noise reduction: a case study on experimental data Physical Review E 48 2 1993 1529 1538
102. P. Grassberger, R. Hegger, H. Kantz, C. Schaffrath, and T. Schreiber On noise reduction methods for chaotic data Chaos: An Interdisciplinary Journal of Nonlinear Science 3 2 1993 127 141
103. N. Marwan, N. Wessel, A. Meyerfeldt, A. Schirdewan, and J. Kurths Recurrence plot based measures of complexity and its application to heart rate variability data Physical Review E 2 026702 2002 1 8
104. J. Guckenheimer, and P. Holmes Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields vol. 42 1997 Springer-Verlag Berlin, New York
105. H. Kantz A robust method to estimate the maximal Lyapunov exponent of a time series Physical Letters A 185 1 1994 77 87
106. S. Oberst, J.C.S. Lai, Numerical study of friction-induced pad-mode instability in disc brake squeal, 20th International Congress on Acoustics (ICA 2010), 2327 August, Sydney, Australia, 2010.
107. S. Oberst, J.C.S. Lai, Acoustic radiation of friction-induced pad-mode instability in disc brake squeal, 20th International Congress on Acoustics (ICA 2010), 2327 August, Sydney, Australia, 2010.
108. R.I. Leine, D.H. Van Campen, and B.L. Van De Vrande Bifurcations in nonlinear discontinuous systems Nonlinear Dynamics 23 2000 105 164