Automotive disc brake squeal

Journal of Sound and Vibration

Volumn 267, Issue 1, 2003, Pages 105-166

  Kinkaid, N M ^a   O'Reilly, O M ^a   Papadopoulos, P ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMOBILE PARTS AND EQUIPMENT; BRAKES; FRICTION; VIBRATIONS (MECHANICAL);

AUTOMOTIVE DISC BRAKE; BRAKE SQUEAL;

ACOUSTIC NOISE;

EID: 0142119210     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(02)01573-0     Document Type: Review

References (206)

1. H. Abendroth, B. Wernitz, The integrated test concept: Dyno-vehicle, performance-noise, Technical Report 2000-01-2774, SAE, Warrendale, PA, 2000.
2. D.A. Crolla, A.M. Lang, Brake noise and vibration-the state of the art, in: D. Dowson, C.M. Taylor, M. Godet, (Eds.), Vehicle Tribology, number 18, in Tribology Series, Leeds, England, 1991, pp. 165-174.
3. M.R. North, Disc brake squeal, in: Braking of Road Vehicles, Automobile Division of the Institution of Mechanical Engineers, Mechanical Engineeering Publications Limited, London, England, 1976, pp. 169-176.
4. H.H. Leipholz, Stability of Elastic Systems, Sijthoff and Noordhoff, Alphen aan den Rijn, The Netherlands, 1980.
5. H. Zeigler, Principles of Structural Stability, Blaisdell, Waltham, MA, 1968.
6. R.A. Ibrahim, Friction-induced vibration, chatter, squeal, and chaos: part II-dynamics and modeling, in: R.A. Ibrahim, A. Soom (Eds.), Friction-Induced Vibration, Chatter, Squeal, and Chaos, Vol. DE-49, ASME, New York, 1992 PP. 123-138.
7. R.A. Ibrahim, Friction-induced vibration, chatter, squeal, and chaos: part II: dynamics and modeling, American Society of Mechanical Engineers Applied Mechanics Reviews 47 (7) (1994) 227-253.
8. J.P. Den Hartog, Mechanical Vibrations, 4th Edition, McGraw-Hill, New York, 1956.
9. S. Yang, R.F. Gibson, Brake vibration and noise: reviews, comments, and proposals, International Journal of Materials and Product Technology 12 (1997) 496-513.
10. A. Papinniemi, J.C.S. Lai, J. Zhao, L. Loader, Brake squeal: a literature review, Applied Acoustics 63 (4) (2002) 391-400.
11. R.A. Ibrahim, Friction-induced noise and related problems in automotive brakes, in: S.G. Pandalai (Ed.), Recent Research Developments in Sound and Vibration, Vol. 1, Transworld Research Network, Kerala, India, 2002.
12. A. Akay, Acoustics of friction, Journal of Acoustical Society of America 111 (4) (2002) 1525-1548.
13. C.S. Clark, The Lanchester Legacy, a Trilogy of Lanchester Works, Vol. 1, Butler & Tanner, Frome and London, England, 1995, pp. 1895-1931.
14. G.A. Harper, Brakes and Friction Materials: The History and Development of the Technologies, Mechanical Engineering Publications Limited, London, England, 1998.
15. T.P. Newcomb, R.T. Spurr, A Technical History of the Motor Car, Adam Hilger, New York, 1989.
16. F.W. Lanchester,Improvements in the brake mechanism of power-propelled road vehicles, G.B. Patent No. 26407, 1902.
17. T.P. Hughes, Elmer Sperry: Inventor and Engineer, John Hopkins Press, Baltimore, MD, 1971.
18. E.A. Sperry, The electric brake in practice, Transactions AIEE 11 (1894) 682-728.
19. E.A. Sperry, Electric brake, US Patent Nos. 534974, 534977, 1895.
20. E.A. Sperry, Electric brake, US Patent No. 565937, 1896.
21. T.P. Newcomb, R.T. Spurr, Automobile Brakes and Braking Systems, R. Bentley Inc., Cambridge, MA, 1969.
22. C.J. Kahane, A preliminary evaluation of two braking improvements for passenger cars-dual master cylinders and front disc brakes, Technical Report DOT HS 806 359, NHTSA, Washington, DC, 1983.
23. P. Oppenheimer, Braking regulations for passenger cars, Technical Report 770182, SAE, Warrendale, PA, 1977.
24. J.D. Halderman, C.D. Mitchell Jr., Automotive Brake Systems, 2nd Edition, Prentice-Hall, Upper Saddle River, NJ, 2000.
25. A.E. Anderson, Friction and wear of automotive brakes, in: ASM Handbook, Vol. 18, ASM International, Materials Park, OH, 1992, pp. 569-577.
26. F. Bergman, M. Eriksson, S. Jacobson, Influence of disk topography on generation of brake squeal, Wear 225-229 (1999) 621-628.
27. M.G. Jacko, P.H.S. Tsang, S.K. Rhee, Automotive friction materials evolution during the past decade, Wear (1984) 503-515.
28. H.Y. Loken, Asbestos free brakes and dry clutches reinforced with kevlar aramid fiber, Technical Report 800667, SAE, Warrendale, PA, 1980.
29. Asbestos Institute, http://www.chrystolite.com/regulat/us.htm, 1999-2000.
30. UK Department of the Environment, Transport and the Regions, http://www.roads.dtlr.gov.uk/vehicle/consult/asbestos, 1998.
31. T.P. Newcomb, R.T. Spurr, Friction materials for brakes, Tribology 4 (2) (1971) 75-81.
32. S.K. Rhee, Wear mechanisms for asbestos-reinforced automotive friction materials, Wear 29 (3) (1974) 391-393.
33. 2S solid lubricant addition, and varying density, on the occurrence of brakes squeals for one low-metal, organic type brake pad, in: Proceedings of the 17th Annual SAE Brake Colloquium and Engineering Display, SAE, Warrendale, PA, 1999, pp. 137-143.
34. 3 solid lubricants on the occurrence of brakes squeals for three automotive brake pad matrix types, in: S.S. Eskildsen, D.S. Larsen, H. Reitz, E.J. Bienk, C.A. Straede (Eds.), Nordtrib '98: Proceedings of the Eighth International Conference on Tribology, DTI Tribology Center, Aarhus, Denmark, 1998, pp. 665-672.
35. P. Bedard, Comparison test-little cars 6.1, Car and Driver 45 (12) (2000) 54-81.
36. F. Marcus, Road test-2002 Ford Explorer Eddie Bauer 4 × 4, Car and Driver 46 (7) (2001) 74-78.
37. T. Swan, Comparison test-fanzy panzers, Car and Driver 46 (2) (2000) 46-59.
38. R.P. Jarvis, B. Mills, Vibrations induced by friction, Proceedings of the Institution of Mechanical Engineers 178 (32) (1963) 847-857.
39. J.O. Hultén, J. Flint, An assumed modes method approach to disc brake squeal analysis, Technical Report 1999-01-1335, SAE, Warrendale, PA, SAE, 1999.
40. H. Ouyang, J.E. Mottershead, A bounded region of disc-brake vibration instability, Transactions of the American Society of Mechanical Engineers Journal of Vibration and Acoustics 123 (4) (2001) 543-545.
41. H. Ouyang, J.E. Mottershead, D.J. Brookfield, S. James, M.P. Cartmell, A methodology for the determination of dynamic instabilities in a car disc brake, International Journal of Vehicle Design 23 (3/4) (2000) 241-262.
42. H. Ouyang, J.E. Mottershead, D.J. Brookfield, S. James, M.P. Cartmell, T. Kaster, T. Treyde, B. Hirst, R. Allen. Dynamic instabilities in a simple model of a car disc brake, Technical Report 1999-01-3409, SAE. Warrendale, PA, 1999.
43. J.-G. Tseng, J.A. Wickert, Nonconservative stability of a friction loaded disk, Transactions of the American Society for Mechanical Engineers Journal of Vibration and Acoustics 120 (4) (1998) 922-929.
44. H. Baba, T. Wada, T. Takagi, Study on reduction of brake squeal caused by in-plane vibration on rotor, Technical Report 2001-01-3158, SAE, Warrendale, PA, 2001.
45. J.C. Bae, J.A. Wickert, Free vibration of coupled disk-hat structures, Journal of Sound and Vibration 235 (1) (2000) 117-132.
46. S.-W. Kung, K.B. Dunlap, R.S. Ballinger, Complex eigenvalue analysis for reducing low frequency brake squeal, Technical Report 2000-01-0444, SAE, Warrendale, PA, 2000.
47. K. Ono, J.-S. Chen, D.B. Bogy, Stability analysis for the head-disk interface in a flexible disk drive, Transactions of the American Society of Mechanical Engineers Journal of Applied Mechanics 58 (4) (1991) 1005-1014.
48. M. Nishiwaki, Generalized theory of brake noise, Proceedings of the Institution of Mechanical Engineers D 207 (1993) 195-202.
49. J.E. Mottershead, S.N. Chan, Brake squeal-an analysis of symmetry and flutter instability, in: R.A. Ibrahim, A. Som (Eds.), Friction-Induced Vibration, Chatter, Squeal, and Chaos, Vol. DE-49, American Society of Mechanical Engineers, New York, 1992, pp. 87-97.
50. J.E. Mottershead, S.N. Chan, Flutter instability of circular discs with frictional follower forces, Transactions of the American Society of Mechanical Engineers Journal of Vibration and Acoustics 117 (1) (1995) 161-163.
51. J.E. Mottershead, Vibration- and friction-induced instability in disks, Shock and Vibration Digest 30 (1) (1998) 14-31.
52. J.Y. Chang, J.A. Wickert, Response of modulated doublet modes to travelling wave excitation, Journal of Sound and Vibration 242 (1) (2001) 69-83.
53. M. Kim, J. Moon, J.A. Wickert, Spatial modulation of repeated vibration modes in rotationally periodic structures, Transactions of the American Society of Mechanical Engineers Journal of Vibration and Acoustics 122 (1) (2000) 62-68.
54. A. Raman, C.D. Mote, Jr., Non-linear oscillations of circular plates near a critical speed resonance, International Journal of Nonlinear Mechanics 34 (1) (1999) 139-157.
55. A. Raman, C.D. Mote, Jr., Effects of imperfection on the non-linear oscillations of circular plates spinning near critical speed, International Journal of Nonlinear Mechanics 36 (2) (2001) 261-289.
56. H. Lamb, R.V. Southwell, The vibrations of a spinning disk, Royal Society of London Proceedings Series A Mathematics Physics and Engineering Science 99 (699) (1921) 272-280.
57. V.K. Meel, Modal characteristics of annular elastic solids and a disc brake rotor model, Master's Thesis, Purdue University, West Lafayette, Indiana, USA, 2000.
58. H.V. Chowdhary, Modeling of Disc Brake Systems for Squeal Prediction, Master's Thesis, Purdue University, West Lafayette, Indiana, USA, 2001.
59. J.G. McDaniel, X. Li, J. Moore, S.-E. Chen, Analysis of instabilities and power flow in brake systems with coupled rotor modes, Technical Report 01NVC-108, SAE, Warrendale, PA, 2001.
60. P.M. Naghdi, Finite deformation of elastic rods and shells, in: D.E. Carlson, R.T. Shield (Eds.), Finite Elasticity: Proceedings of the IUTAM Symposium on Finite Elasticity, Bethlehem, PA, 1980, Martinus Nijhoff, The Hague, Netherlands, 1982, pp. 47-103.
61. M.B. Rubin, Cosserat Theories: Shells, Rods and Points, Kluwer Academic Publishers, Dordrecht, Netherlands, 2000.
62. N. Millner, An analysis of disc brake squeal, Technical Report 780332, SAE, Warrendale, PA, 1978.
63. J. Flint, The effect of distributed parameters examined in a model for simulation of disc brake squeal, Technical Report 2000-01-2766, SAE, Warrendale, PA, 2000.
64. Y. Yuan, A study of the effects of negative friction-speed slope on brake squeal, in: Proceedings of DETC'95, Vol. 84-1, ASME, New York, 1995, pp. 1153-1162.
65. J.-S. Chen, Stability Analysis of a Spinning Flexible Disk-stationary Load System: Application to Floppy Disk Drives, Ph.D. Thesis, University of California at Berkeley, Berkeley, USA, 1992.
66. O.M. O'Reilly, N.K. Malhotra, N.S. Namachchivaya, Some aspects of destabilization in reversible dynamical systems with application to follower forces, Nonlinear Dynamics 10 (1) (1996) 63-87.
67. A.M. Bloch, P.S. Krishnaprasad, J.E. Marsden, T.S. Ratiu, Dissipation induced instabilities, Annales de L'Institut H. Poincaré: Analyse Non Linéaire 11 (1) (1994) 37-90.
68. F.P. Bowden, D. Tabor, The Friction and Lubrication of Solids, Oxford University Press, Clarendon Press, Oxford, (second corrected edition, 2001. Oxford Classic Text in the Physical Sciences).
69. I.V. Kragelskii, Friction and Wear, Butterworth, London, 1965.
70. E. Rabinowicz, Friction and Wear of Materials, Wiley, New York, 1965.
71. N.P. Suh, Tribophysics, Prentice-Hall, Englewood Cliffs, NJ, 1986.
72. D. Dawson, History of Tribology, 2nd Edition, Professional Engineering Publishing, London and Bury St. Edmunds, England, 1998.
73. B. Armstrong-Hélouvry, P. DuPont, C. Canudas de Wit, A survey of models, analysis tools and compensation methods for the control of machines with friction, Automatica 30 (7) (1994) 1093-1138.
74. J.T. Oden, J.A.C. Martins, Models and computational methods for dynamic friction phenomena, Computer Methods in Applied Mechanics and Engineering 52 (1985) 527-634.
75. H. Dankowicz, On the modeling of dynamic friction phenomena, Zeitschrift für Angewandte Mathematik und Mechanik 79 (6) (1999) 399-409.
76. A.L. Ruina, Constitutive relations for frictional slip, in: Z.P. Bažant (Ed.), Mechanics of Geomaterials: Rocks, Concrete, Soils, Wiley, New York, 1985, pp. 169-188.
77. N.P. Suh, H.-C. Sin, The genesis of friction, Wear 69 (1981) 91-114.
78. J.A.C. Martins, J.T. Oden, F.M.F. Simões, A study of static and kinetic friction, International Journal of Engineering Science 28 (1) (1990) 29-92.
79. D.M. Tolstoi, Significance of the normal degree of freedom and natural normal vibrations in contact friction, Wear 10 (3) (1967) 199-213.
80. A.J. Day, M. Tirovic, T.P. Newcomb, Thermal effects and pressure distributions in brakes, Proceedings of the Institution of Mechanical Engineers D 205 (1991) 199-205.
81. C. Hohmann, K. Schiffner, K. Oerter, H. Reese, Contact analysis for drum brakes and disk brakes using ADINA, Computers & Structures 72 (1-3) (1999) 185-198.
82. M. Tirovic, A.J. Day, Disc brake interface pressure distributions, Proceedings of the Institution of Mechanical Engineers D 205 (1991) 137-146.
83. M. Eriksson, F. Bergman, S. Jacobson, On the nature of tribiological contact in automotive brakes, Wear 252 (1/2) (2002) 26-36.
84. A. Ilm, P.S. Leung, P.K. Datta, Experimental investigations of disc brake friction, Technical Report 2000-01-2778, SAE, Warrendale, PA, 2000.
85. S.K. Rhee M.G. Jacko, P.H.S. Tsang, The role of friction film in friction, wear, and noise of automotive brakes, Technical Report 900004, SAE, Warrendale, PA, 1990.
86. M. Eriksson, S. Jacobson, Friction behaviour and squeal generation of disc brakes at low speeds, Proceedings of the Institution of Mechanical Engineers D 215 (D12) (2001) 1245-1256.
87. M. Eriksson, J. Lord, S. Jacobson, Wear and contact conditions of brake pads: dynamical in situ studies of pad on glass, Wear 249 (3-4) (2001) 272-278.
88. W. Österle, M. Griepentrog, Th. Gross, I. Urban, Chemical and microstructural changes induced in friction and wear of brakes, Wear 251 (1-12) (2001) 1469-1476.
89. W. Kreitlow, F. Schrödter, H. Matthäi, Vibration and hum of disc brakes under load, Technical Report 850079, SAE, Warrendale, PA, 1985.
90. Y.-B. Yi, S. Du, J.R. Barber, J.W. Fash, Effect of geometry on thermoelastic instability in disk brakes and clutches, Transactions of the American Society for Mechanical Engineers Journal of Tribology 121 (4) (1999) 661-666.
91. S.K. Rhee, P.H.S. Tsang, Y.S. Wang, Friction-induced noise and vibration of disc brakes, Wear 133 (1989) 39-45.
92. J.R. Barber, The influence of thermal expansion on the friction and wear process, Wear 10 (2) (1967) 155-159.
93. J.R. Barber, Thermoelastic instabilities in the sliding of conforming bodies, Royal Society of London Proceedings Series A Mathematics Physics and Engineering Science 312 (1510) (1969) 381-394.
94. Th.A. Dow, R.A. Burton, Thermoelastic instability of sliding contact in the absence of wear, Wear 19 (3) (1972) 315-328.
95. F.E. Kennedy, F.F. Ling, A thermal, thermoelastic, and wear simulation of a high-energy sliding contact problem, Transactions of the American Society of Mechanical Engineers Journal of Lubrication Technology 96 (3) (1974) 497-507.
96. F. Samie, D.C. Sheridan, Contact analysis for a passenger car disc brake, Technical Report 900006, SAE, Warrendale, PA, 1990.
97. S. Du, J.W. Fash, Finite element analysis of frictionally-excited thermoelastic instability in a 3D annular disk, International Journal of Vehicle Design 23 (3/4) (2000) 203-217.
98. S. Du, P. Zagrodzki, J. Barber, G. Hulbert, Finite element analysis of frictionally excited thermoelastic instability, Journal of Thermal Stresses 20 (2) (1997) 185-201.
99. K. Lee, J.R. Barber, Frictionally excited thermoelastic instability in automotive brakes, Transactions of the American Society of Mechanical Engineers Journal of Tribology 115 (4) (1993) 607-614.
100. Y.-B. Yi, J.R. Barber, D.L. Hartsock, Thermoelastic instabilities in automotive disk brakes-finite element analysis and experimental verification, in: J.A.C. Martius, M.D.P. Monteiro Marques (Eds.), Proceedings of the Third Contact Mechanics International Symposium held in Peniche, Portugal, June 17-21, 2001, Kluwer, Dordrecht, Netherlands, 2002.
101. P. Zagrodzki, K.B. Lam, E. Al Bahkali, J.R. Barber, Nonlinear transient behavior of a sliding system with frictionally excited thermoelastic instability, Transactions of the American Society of Mechanical Engineers Journal of Tribology 123 (4) (2001) 699-708.
102. A.E. Anderson, R.A. Knapp, Hot spotting in automotive friction systems, Wear 135 (2) (1990) 319-337.
103. J.R. Barber, Thermoelasticity and contact, Journal of Thermal Stresses 22 (4/5) (1999) 513-525.
104. J.R. Barber, T.W. Beamond, J.R. Waring, C. Pritchard, Implications of thermoelastic instability for the design of brakes, Transactions of the American Society of Mechanical Engineers Journal of Tribology 107 (2) (1985) 206-210.
105. F.E. Kennedy, Thermal and thermomechanical effects in dry sliding, Wear 100 (1984) 453-476.
106. A. Felske, G. Hoppe, H. Matthäi, Oscillations in squealing disc brakes-analysis of vibration modes by holographic interferometry, Technical Report 780333, SAE, Warrendale, PA, 1978.
107. H. Abendroth, Advances in brake NVH test equipment, Automotive Engineering International 107 (2) (1999) 60-63.
108. R. Krupka, T. Walz, A. Ettemeyer, New techniques and applications for 3D-brake vibration analysis, Technical Report 2000-01-2772, SAE, Warrendale, PA, 2000.
109. R. Jones, C. Wykes, Holographic and Speckle Interferometry: A Discussion of the Theory, Practise and Application of the Techniques, 2nd Edition, Cambridge University Press, Cambridge, 1989.
110. Yu.I. Ostrovsky, V.P. Shchepinov, V.V. Yakovlev, Holographic Interferometry in Experimental Mechanics, Springer, Berlin, 1991.
111. H.R. Mills, Brake squeak, Technical Report 9000 B, Institution of Automobile Engineers, 1938.
112. R.A.C. Fosberry, Z. Holubecki, Interim report on disc brake squeal, Technical Report 1959/4, Motor Industry Research Association, Warwickshire, England, 1959.
113. R.A.C. Fosberry, Z. Holubecki, Disc brake squeal: its mechanism and suppression, Technical Report 1961/1, Motor Industry Research Association, Warwickshire, England, 1961.
114. R.T. Spurr, A theory of brake squeal, Proceedings of the Automobile Division, Institution of Mechanical Engineers 1961-1962 (1) (1961) 33-52.
115. S.W.E. Earles, A mechanism of disc-brake squeal, Technical Report 770181, SAE, Warrendale, PA, 1977.
116. S.W.E. Earles, 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 C 198 (1984) 43-49.
117. S.W.E. Earles, P.W. Chambers, Disc brake squeal noise generation: predicting its dependency on system parameters including damping, International Journal of Vehicle Design 8 (1987) 538-552.
118. S.W.E. Earles, C. Lee, Instabilities arising from the frictional interaction of a pin-disk system resulting in noise generation, Transactions of the American Society of Mechanical Engineers Journal of Engineering for Industry 98 (1) (1976) 81-86.
119. S.W.E. Earles, G.B. Soar, Squeal noise in disc brakes, in: Vibration and Noise in Motor Vehicles, Institution of Mechanical Engineers, London, England, 1971, pp. 61-69, Paper number C 101/71.
120. M.R. North, Disc brake squeal-a theoretical model, Technical Report 1972/5, Motor Industry Research Association, Warwickshire, England, 1972.
121. H. Murakami, N. Tsunada, T. Kitamura, A study concerned with a mechanism of disc-brake squeal, Technical Report 841233, SAE, Warrendale, PA, 1984.
122. M. Nishiwaki, H. Harada, H. Okamura, T. Ikeuchi, Study on disc brake squeal, Technical Report 890864, SAE, Warrendale, PA, 1989.
123. Y. Ichiba, Y. Nagasawa, Experimental study on brake squeal, Technical Report 930802, SAE, Warrendale, PA, 1993.
124. M. Reeves, N. Taylor, C. Edwards, D. Williams, C.H. Buckberry, A study of disc modal behavior during squeal generation using high-speed electronic speckle pattern interferometry and near-field sound pressure measurements, Proceedings of the Institution of Mechanical Engineers D 214 (D3) (2000) 285-296.
125. C. Talbot, J.D. Fieldhouse, Animations of a disc brake generating noise, Technical Report 2001-01-3126, SAE, Warrendale, PA, 2001.
126. K. Ohta, K. Kagawa, T. Eto, S. Nishikawa, Study on the disc brake squeal (simulation using modal analysis technique and experiments), Transactions of the Japanese Society of Mechanical Engineers, Series C 50 (457) (1984) 1585-1593 (in Japanese).
127. J.D. Fieldhouse, P. Newcomb, The application of holographic interferometry to the study of disc brake noise, Technical Report 930805, SAE, Warrendale, PA, 1993.
128. J.D. Fieldhouse, T.P. Newcomb, Double pulsed holography used to investigate noisy brakes, Optics and Lasers in Engineering 25 (6) (1996) 455-494.
129. A.M. Lang, T.P. Newcomb, An experimental investigation into drum brake squeal, in: EAEC Conference on New Developments in Powertrain and Chassis Engineering, Institution of Mechanical Engineers Paper No. C382/051, 1989, pp. 431-444.
130. J.O. Hultén, Friction phenomena related to drum brake squeal instabilities, in: CD-ROM Proceedings of DETC'97, DETC97/VIB-4161, ASME, New York, 1997, pp. 1-12.
131. J.D. Fieldhouse, M. Rennison, An investigation of low frequency drum brake noise, Technical Report 982250, SAE, Warrendale, PA, 1998.
132. B.K. Servis The Onset of Squeal Vibrations Resulting from a Coupled Mode Instability, Ph.D. Thesis, Purdue University, West Lafayette, Indiana, USA, 2000.
133. J.D. Fieldhouse, A proposal to predict the noise frequency of a disc brake based on the friction pair interface geometry, Technical Report 1999-01-3403, SAE, Warrendale, PA, 1999.
134. A.M. Lang, H. Smales, An approach to the solution of disc brake vibration problems, in: Braking of Road Vehicles. Automobile Division of the Institution of Mechanical Engineers, Mechanical Engineering Publications Limited, Suffolk, England, 1993, pp. 223-231.
135. H.V. Chowdhary, A.K. Bajaj, C.M. Krousgill, An analytical approach to model disc brake system for squeal prediction, in: CD-ROM Proceedings of DETC'01, DETC2001/VIB-21560, ASME, Pittsburgh, PA, 2001, pp. 1-10.
136. M. Matsuzaki, T. Izumihara, Brake noise caused by longitudinal vibration of the disc rotor, Technical Report 930804, SAE, Warrendale, PA, 1993.
137. J.H. Tarter, Disc brake squeal, Technical Report 830530, SAE, Warrendale, PA, 1983.
138. K.B. Dunlap, M.A. Riehle, R.E. Longhouse, An investigative overview of automobile disc brake noise, Technical Report 1999-01-0142, SAE, Warrendale, PA, 1999.
139. F. Chen, S.-E. Chen, P. Harwood, In-plane mode/friction process and their contribution to disc brake squeal at high frequency, Technical Report 2000-01-2773, SAE, Warrendale, PA, 2000.
140. F. Chen, J. Chern, J. Swayze, Modal coupling and its effect on brake squeal, Technical Report 2002-01-0922, SAE, Warrendale, PA, 2002.
141. J.G. McDaniel, J. Moore, S.-E. Chen, C.L. Clarke, Acoustic radiation models of brake systems from stationary LDV measurements, in: Proceedings of IMEC'99, American Society of Mechanical Engineers, New York, 1999.
142. A. Saad, M. Watany, S. Abouel-Seoud, I. Abdel-Gawad, Passenger car disk brake squeal, Proceedings of the International SAMPE Symposium and Exhibition 43 (2) (1998) 1158-1169.
143. M. Watany, S. Abouel-Seoud, A. Saad, I. Abdel-Gawad, Brake squeal generation, Technical Report 1999-01-1735, SAE, Warrendale, PA, 1999.
144. H. Matsui, M. Murakami, H. Nakanishi, Y. Tsuda, Analysis of disc brake squeal, Technical Report 920553, SAE, Warrendale, PA, 1992.
145. K.A. Cunefare, R. Rye, Investigation of disc brake squeal via sound intensity and laser vibrometry, Technical Report 2001-01-1604, SAE, Warrendale, PA, SAE, 2001.
146. S. Mahajan, Y.-K. Hu, K. Zhang, Vehicle disc brake squeal simulations and experiences, Technical Report 1999-01-1738, SAE, Warrendale, PA, 1999.
147. J. Hald, Time domain acoustical holography and its applications, Sound and Vibration 35 (2) (2001) 16-25.
148. F. Bergman, Tribological nature of squealing disc brakes, Ph.D. Thesis, Uppsala University, Uppasala, Sweden, 1999.
149. M. Eriksson, Friction and Contact Phenomena of Disc Brakes Related to Squeal, Ph.D. Thesis, Uppsala University, Uppsala, Sweden, 2000.
150. D. Vola, M. Raous, J.A.C. Martins, Friction and instability of steady sliding: squeal of a rubber/glass contact, International Journal for Numerical Methods in Engineering 46 (10) (1999) 1699-1720.
151. F. Bergman, M. Eriksson, S. Jacobson, The effect of reduced contact area on the occurrence of disc brake squeals for an automotive brake pad, Proceedings of the Institution of Mechanical Engineers D 214 (D5) (2000) 531-568.
152. M. Eriksson, F. Bergman, S. Jacobson, Surface characterization of brake pads after running under silent and squealing conditions, Wear 232 (2) (1999) 163-167.
153. M. Eriksson, A. Lundquist, S. Jacobson, A study of the influence of humidity on the friction and squeal generation of automotive brake pads, Proceedings of the Institution of Mechanical Engineers D 215 (D3) (2001) 329-342.
154. R.A. Ibrahim, S. Madhavan, S.L. Qiao, W.K. Chang, Experimental investigation of friction-induced noise in disc brake systems, International Journal of Vehicle Design 23 (3-4) (2000) 218-240.
155. S.L. Qiao, R.A. Ibrahim, Stochastic dynamics of systems with friction-induced vibration, Journal of Sound and Vibration 223 (1) (1999) 115-140.
156. G.D. Liles, Analysis of disc brake squeal using finite element methods, Technical Report 891150, SAE, Warrendale, PA, SAE, 1989.
157. W. Liu, J. Pfeiffer, Reducing high frequency disc brake squeal by pad shape optimization, Technical Report 2000-01-0447, SAE, Warrendale, PA, 2000.
158. L. Reynolds, Got squealing brakes?, http://www.porschepark.org/garage/ta00004.html, Aril 2000.
159. R. Singh, A.A. Sheikh, M.J. Mitchell, Viscoelastic damping to control disc brake squeal, Sound and Vibration 32 (10) (1998) 18-22.
160. J. Storer, R. Maddox, J.H. Haynes, Honda Accord Automotive Repair Manual, Haynes, North America, Newbury Park, CA, 1999.
161. T.A. Nosseir, M.A.R. Said, N.S. El Nahas, G. Abu El Fetouh, Significance of squeal in disk brake design, International Journal of Vehicle Design 19 (1) (1998) 124-133.
162. P.C. Brooks, D.A. Crolla, A.M. Lang, D.R. Schafer, Eigenvalue sensitivity analysis applied to disc brake squeal, in: Braking of Road Vehicles, Institution of Mechanical Engineers, Mechanical Engineering Publications Limited, Bury St. Edmunds, England, 1993, pp. 135-143.
163. P. DiLisio, R. Parisi, J. Rieker, W. Stringham, Brake noise resolution on the 1998 Mercedes-Benz M-Class, Technical Report 982245, SAE, Warrendale, PA, 1998.
164. Y. Kumemura, Y. Gamo, K. Kono, S. Suga, Analysis for reducing low frequency squeal of a disc brake, Technicl Report 2001-01-3137, SAE, Warrendale, PA, 2001.
165. K.A. Cunefare, A.J. Graf, Disc brake rotor squeal suppression using dither control, Technical Report 2001-01-1605, SAE, Warrendale, PA, 2001.
166. K.A. Cunefare, A.J. Graf, Experimental active control of automotive disc brake rotor squeal using dither, Journal of Sound and Vibration 250 (4) (2002) 579-590.
167. D. Sinclair, Frictional vibrations, Transactions of the American Society of Mechanical Engineers Journal of Applied Mechanics 77 (1955) 207-213.
168. F.P. Bowden, L. Leben, The nature of sliding and the analysis of friction, Royal Society of London Proceedings Series A Mathematics Physics and Engineering Science 169 (1939) 371-391.
169. N.L. Kajdanowsky, S.E. Chajkin, Mechanical relaxation oscillations, Zhurnal Teknischeskoi Fiziki 3 (1) (1933) 93-109 (in Russian).
170. F. Morgan, M. Musjat, D.W. Reed, Friction phenomena and the stick-slip process, Journal of Applied Physics 12 (10) (1941) 743-752.
171. H. Blok, Fundamental mechanical aspects of boundary lubrication, SAE Journal 46 (2) (1940) 54-68.
172. P. Painlevé, Sur le lois du frottement de glissemment, Comptes Rendus Academie Science Paris 121 (1895) 112-115.
173. P. Painlevé, Sur le lois du frottement de glissemment, Comptes Rendus Academie Science Paris Vol. 140 (1895), pp. 702-707
174. P. Painlevé, Sur le lois du frottement de glissemment, Comptes Rendus Academie Science Paris Vol. 141, pp. 401-405 & pp. 546-552 (1905) (in French).
175. D.E. Stewart, Rigid-body dynamics with friction and impact, SIAM Review 42 (1) (2000) 3-39.
176. J.D.C. Crisp, R.A.C. Fosberry, Z. Holubecki, V.E. Gough, F.D. Hales, G.H. Lanchester, L. Martland, R.T. Spur, A.J. Wilson, Communications on Jarvis and Mills' paper, Proceedings of the Institution of Mechanical Engineers 178 (32) (1963) 857-864.
177. J.O. Hultén, Drum Brake Squeal, Ph.D. Thesis, Chalmers University of Technology, Göteborg, Sweden, 1998.
178. J.O. Hultén, J. Flint, T. Nellemose, Mode shape of a squealing drum brake, Technical Report 972028, SAE, Warrendale, PA, 1997.
179. Y. Denou, M. Nishiwaki, First order analysis of low frequency disk brake squeal, Technical Report 2001-01-3136, SAE, Warrendale, PA, 2001.
180. S.N. Chan, J.E. Mottershead, M.P. Cartmell, Parametric resonances at subcritical speeds in discs with rotating frictional loads, Proceedings of the Institution of Mechanical Engineers Part C 208 (C6) (1994) 417-425.
181. H. Abendroth, A new approach to brake testing, Technical Report 850080, SAE, Warrendale, PA, 1985.
182. A. Schallamach, How does rubber slide?, Wear 17 (4) (1971) 301-312.
183. M. Rudolph, K. Popp, Brake squeal, Detection, Utilization and Avoidance of Nonlinear Dynamical Effects in Engineering Applications: Final Report of a Joint Research Project Sponsored by the German Federal Ministry of Education and Research, Shaker, Aachen, 2001, pp. 197-225.
184. M. Rudolph, K. Popp, Friction induced brake vibrations, in: CD-ROM Proceedings of DETC'01, DETC2001/VIB-21509, ASME, Pittsburgh, PA, 2001, pp. 1-10.
185. R.P. Jarvis, B. Mills, Authors' reply, Proceedings of the Institution of Mechanical Engineers 178 (32) (1963) 864-866.
186. S.W.E. Earles, P.W. Chambers, Predicting some effects of damping on the occurrence of disc-brake squeal noise, in: ASME Dynamic Systems and Control Division, Vol. 1, ASME, New York, 1985, pp. 317-323.
187. A.M. El-Butch, I.M. Ibrahim, Modeling and analysis of geometrically induced vibration in disc brakes considering contact parameters, Technical Report 1999-01-0143, SAE, Warrendale, PA, 1999.
188. P.C. Brooks, R.S. Sharp, A computational procedure based on eigenvalue sensitivity theory applicable to linear system design, Journal of Sound and Vibration 114 (1) (1987) 13-18.
189. H.A. Sherif, On the design of anti-squeal friction pads for disc brakes, Technical Report 910575, SAE, Warrendale, PA, 1991.
190. J.-S. Chen, D.B. Bogy, Effects of load parameters on the natural frequencies and stability of a flexible spinning disk with a stationary load system, Transactions of the American Society of Mechanical Engineers Journal of Applied Mechanics 59 (2) (1992) S230-S235.
191. J.-S. Chen, D.B. Bogy, Mathematical structure of modal interactions in a spinning disk-stationary load system, Transactions of the American Society of Mechanical Engineers Journal of Applied Mechanics 59 (2) (1992) 390-397.
192. S.N. Chan, J.E. Mottershead, M.P. Cartmell, Instabilities at subcritical speeds in discs with rotating frictional follower loads, Transactions of the American Society of Mechanical Engineers Journal of Vibration and Acoustics 117 (2) (1995) 240-242.
193. H. Ouyang, J.E. Mottershead, Unstable travelling waves in the friction-induced vibration of discs, Journal of Sound and Vibration 248 (4) (2001) 768-779.
194. H. Ouyang, J.E. Mottershead, M.P. Cartmell, M.I. Friswell, Friction-induced parametric resonances in discs: effect of a negative friction-velocity relationship, Journal of Sound Vibration 209 (2) (1998) 251-264.
195. J.E. Mottershead, H. Ouyang, M.P. Cartmell, M.I. Friswell, Parametric resonances in an annular disc, with a rotating system of distributed mass and elasticity; and the effects of friction and damping, Royal Society of London Proceedings Series A Mathematics Physics and Engineering Science 453 (1956) (1997) 1-19.
196. A.H. Nayfeh, D.T. Mook, Nonlinear Oscillations, Wiley, New York, 1979.
197. W.V. Nack, Brake squeal analysis by finite elements, Technical Report 1999-01-1736, SAE, Warrendale, PA, 1999.
198. W.V. Nack, Brake squeal analysis by finite elements, International Journal of Vehicle Design 23 (3-4) (2000) 263-275.
199. P. Blaschke, M. Tan, A. Wang, On the analysis of brake squeal propensity using finite elements, Technical Report 2000-01-2765, SAE, Warrendale, PA, 2000.
200. F. Moirot, A. Nehme, Q.S. Ngyuen, Numerical simulation to detect low-frequency squeal propensity, Technical Report 2000-01-2767, SAE, Warrendale, PA, 2000.
201. M. Chargin, L. Dunne, D. Herting, Nonlinear dynamics of brake squeal, Finite Elements in Analysis and Design 28 (1) (1997) 69-82.
202. H. Ouyang, J.E. Mottershead, W, Li, Vibration and dynamic instability of moving load systems, in: P. Sar, D. Moens (Eds.), Proceedings of ISMA25: 2000 International Conference on Noise and Vibration Engineering, Katholleke Universiteit Leuven, Belgium, 2000, pp. 1355-1360.
203. Y.-K. Hu, S. Mahajan, K. Zhang, Brake squeal DOE using nonlinear transient analysis, Technical Report 1999-01-1737, SAE, Warrendale, PA, 1999.
204. Y.-K. Hu, L.I. Nagy, Brake squeal analysis using nonlinear transient finite element method, Technical Report 971510, SAE, Warrendale, PA, 1997.
205. L.I. Nagy, J. Cheng, Y.-K. Hu, A new method development to predict brake squeal occurrence, Technical Report 942258, SAE, Warrendale, PA, 1994.
206. O.N. Hamzeh, W.W. Tworzydlo, H.J. Chang, S.T. Fryska, Analysis of