Friction-induced vibration, chatter, squeal, and chaos part II: Dynamics and modeling

Applied Mechanics Reviews

Volumn 47, Issue 7, 1994, Pages 227-253

  Ibrahim, Raouf A ^a  

^a WAYNE STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84886454789     PISSN: 00036900     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.3111080     Document Type: Article

References (222)

1. Abendroth, H., 1985, "A new Approach to Brake Testing," Soc. Automo. Engrg., No. 850080.
2. Agrawal, O. P., Haug, E. J. and Wehage, R. A., 1982, "Some Friction Models for Dynamic Analysis of Mechanical Systems," Center for Computer Aided Design, Tech. Rept. No. 81-10, The University of Iowa.
3. Alifov, A. A. and Frolov, K. V., 1977, “Oscillations in a System with Dry Friction and with Restricted Excitation,” Mekanika Tverdogo Tela, 12(4), 57-65.
4. Alifov, A. A. and Frolov, K. V., 1979, “Investigation of SelfExcited Oscillations with Friction, Under Conditions of Parametric Excitation and Limited Power of Energy Source,” Mekhanika Tverdogo Tela, 14(4), 25-33.
5. Anderson, J. R. and Ferri, A. A., 1990, "Behavior of a Single-Degree-of-Freedom System with a Generalized Friction Law," Journal of Sound and Vibration 140(2), 287-304.
6. Anon, 1975, "Noise Annoyance from Braking and negotiating sharp curves; Fundamental considerations and First Test Results," Report No. C 137/RP2, Office of Res. & Experiments of the Int. Union of Railways, The Netherlands.
7. Aronov, V., D'Souza, A. F., Kalpakjian, S. and Shareef, I., 1983, "Experimental Investigation of the Effect of System Rigidity on Wear and Friction-Induced Vibrations," AS ME J. Lubrication Technology 105, 206-211.
8. Awrejcewicz, J, 1986, "Chaos in Simple Mechanical Systems with Friction," J. Sound and Vibration 109(1), 178-180.
9. Basford, P. R. and Twiss, S. B, 1958a, "Properties of Friction Materials I - Experiments on Variables Affecting Noise," ASME Trans. 80, 402-406.
10. Basford, P. R. and Twiss, S. B., 1958b, "Properties of Friction Materials II - Theory of Vibrations in Brakes," ASME Trans. 80, 407-411.
11. Beards, C. F., 1983, "The Damping of Structural Vibration by Controlled Interfacial Slip in Joints," ASME J. Vibration, Acoust., Stress, Reliability Design 105, 369-373.
12. Beards, C. F. and Bermingham, P. J., 1972, “The Effect of Frictional Damping on the Vibration of an Elastically Supported Beam,” Proceeding of the Symposium on Nonlinear Dynamics, Edited by D. J. Johns, et al., Loughborough University of Technology, Paper No. E.l.
13. Beards, C. F. and Woo wat, 1985, "The Control of Frame Vibration by Friction Damping in Joints," ASME J. Vibration, Acoust., Stress, Reliability Design 107, 27-32.
14. Begg, I. C., 1974, "Friction Induced Rotor Whirl - A Study in Stability," ASME J. Engineering for Industry, Series B 96(2), 450-454.
15. Bell, R. and Burdekin, M, 1966, "Dynamic Behavior of Plain Slideways," Proc. Institution of Mechanical Engineers 18(1), No. 8, 169-183.
16. Bell, R. and Burdekin, M., 1969, "A Study of the Stick-Slip Motion of Machine Tool Feed Drives," Proc of the Instn. Of Mechanical Engineering 184(part l, No. 29), 543-560.
17. Bell, R. and Burdekin, M., 1970, "An Investigation into the Mechanism of the Frictional Damping of Machine Tool Slideways," Proc. Of the Institution of Mechanical Engineers 184, 1088-1096.
18. Bender, E. K. and Remington, P. J., 1974, "The Influence of Rails on Train Noise," J. Sound and Vibration 37, 321-334.
19. Bhushan, B, Walowit, J. A. and Wilcock, D. F., 1978, “The Mechanism of Noise Generation in Water-Lubricated Compliant Rubber Bearings,” NAVSEC Report MTI78TR146.
20. Bhushan, B., 1980, “Stick-Slip Induced Noise Generation in Water-Lubricated Compliant Bearings,” ASME J. Lubrication Technology 102, 201-212.
21. Billett, R. A., 1965, "Shaft Whirl Induced by Dry Friction,"The Engineer, 713-714.
22. Bleedom, T. G. and Johnstone, B., 1977, "Steerable Steel Wheel Systems and Wheel Noise Suppression," IEEE Industry Application Society Annual Meeting Paper 37-E, 957-963.
23. Blok, H., 1940, "Fundamental aspects of Boundary Friction," J. Society of Auto-motive Engineers 46, p. 275.
24. Bojadziev, G. N., 1973, "Vibrations of a System with Memory, Nonlinear Elasticity, Friction and Relaxation," J. Sound and Vibration 27(1), 17-23.
25. Boothroyd, G. and Knight, W. A., 1989, Fundamentals of Machining and Machine Tools, 2nd ed., Marcel Dekker, N.Y.
26. Bracken, W. J. and Sakioka, J. K., 1982, "A Method for the Quantification of Front Disc Brake Squeal," Society of Automotive Engineering (SAE), Paper No. 820037.
27. Brockley, C. A., Cameron, R. and Potter, A. F., 1967, “Friction-Induced Vibration,” ASME J. Lubrication Technology 89, 101-108.
28. Brockley, C. A. and Ko, P. L., 1970, “Quasi-Harmonic Friction-Induced Vibration,” ASME J. Lubrication Technology 92, 550-556.
29. Bryant, M. D., 1985, "Nonlinear Forced Oscillation of a Beam Coupled to an Actuator Via Hertzian Contact," J. Sound and Vibration 99, 403-414.
30. Budanov, B. V., Kudinov, V. A. and Tolstoi, D. M., 1980, "Interaction of Friction and Vibration," Trenie i Iznos (Friction and Wear) 1(1), 79-89.
31. Chace, M. A. and Angell, J. C., 1977, "Interactive Simulation of Machinery with Friction and Impact Using DRAM," Trans. SAE, Paper No. 77-50, 239-250.
32. Chen, J. S. and Bogy, D. B., 1992, "Effect of Load Parameters on the Natural Frequencies and Stability of a Flexible Spinning Disk with a Stationary Load System," ASME J. Applied Mechanics 59, 5230-5235.
33. Chikaromi, S., 1968, "Study of Brake Noise," Mitsubishi Tech. Rev. 5(1), 33.
34. Chung, M. P., Singhal, A. C. and Chang, M. L., 1988, "Effects of Friction Force on the Vibration of a Beam on an Elastic Foundation," Journal of Acoustics 23, 141-156.
35. Cottle, R. W. and Dantzig, G. B., 1968, "Complementary Pivot Theory of Mathematical Programming," Linear Algebra and Its Applications”, 103-125.
36. Den Hartog, J. P., 1931, “Forced Vibrations with Combined Coulomb and Viscous Friction,” ASME APM-S3, 107-115.
37. Den Hartog; J. P., 1956, Mechanical Vibrations, McGraw-Hill, New York.
38. Derjagin, B. C., Push, V. E. and Tolstoi, D. M., 1957, "A Theory of Stick-Slip Sliding of Solids," Proc. Conference on Lubrication and Wear, London.
39. Doi, S., 1953, "On the Chatter Vibrations of LatheTools," Memoirs of the Faculty of Engineering, Nagoya University 5(2), 179-185.
40. Dokos, S. J., 1946, "Sliding Friction under Extreme Pressures 1," ASME J. Appl. Mech. 86, 148-156.
41. Dominic, R. J., Graf, P, and Raju, B. B., 1982, "Analytical and Experimental Investigation of Turbine Blade Damping," University of Dayton Publication UDR-TR-82-39.
42. Done, G. T. S., 1968, "The Flutter and Stability of Undamped Systems," Aeronautical Res. Council R&M no. 3553.
43. Dowell, E. H., 1983, “The Behavior of a Linear, Damped Modal System with a Nonlinear Spring- Mass-Dry Friction Damper System Attached,” J. Sound and Vibration 89(1), 65-84.
44. Dowell, E. H., 1986, “Damping in Beams and Plates due to Slipping at the Support Boundaries,” J. Sound and Vibration 105(2), 243-253.
45. Dowell, E. H. and Schwartz, H. B., 1983a “Forced Response of a Cantilever Beam with a Dry Friction Damper Attached, Part I: Theory,” J. Sound and Vibration 91(2), 255-267.
46. Dowell, E. H. and Schwartz, H. B., 1983b, “Forced Response of a Cantilever Beam with a Dry Friction Damper Attached, Part II: Experiment,” J. Sound and Vibration 91(2), 269-291.
47. Dudley, B. R. and Swift, H. W., 1949, "Frictional Relaxation Oscillations," The Philosophical Magazine, London, Series 7, 40, p. 849.
48. Earles, S. W. E, 1977, "A Mechanism of Disc-Brake Squeal," SAE PAper 770181.
49. Earles, S. W. E, 1984, "Oscillatory Instabilities Generated in a Double-Pin and Disk undamped System: A Mechanism of Disk-Brake Squeal," Proc. Instn. Mechanical Engineers 198C(4).
50. Earles, S. W. E. and Badi, M. N. M., 1978, "On the Interaction of a Two-Pin Disc System with Reference to the Generation of Disk Brake Squeal," SAE Paper 780331.
51. Earles, S. W. E. and Badi, M. N. M., 1984, "Oscillatory Instabilities Generated in a Double-Pin and Disc Undamped System: A Mechanism of Disc-Brake Squeal," Proc. Instn Mechanical Engineers 198C, 43-50.
52. Earles, S. W. E. and Chambers, P. W., 1985, "Predicting Some Effects of Damping on the Occurrence of Disc-Brake Squeal Nois," ASME WAM Proc. Dynamic Systems & Control.
53. Earles, S. W. E. and Chambers, P. W., 1986, "Disc Brake Squeal Noise Generation: Predicting Its Dependency on System Parameters Including Damping," Third IAVD Congress on Vehicle Design, Geneva.
54. Earles, S. W. E. and Chambers, P. W., 1987, "Vibratory Instability in Flexibly Mounted Elements of Sliding Contacts," Proc. World Congress on the Theory of Machines & Mechanisms, Sevilla, Spain.
55. Earles, S. W. E. and Chambers, P. W., 1988, "Disc Brake Squeal -Some Factors which Influence Its Occurrence," Inst. Mech. Engrg. C454/88, pp. 39-46.
56. Earles, S. W. E. and Lee, C. K., 1976, "Instabilities Arising from the Frictional Interactions of a Pin-Disk System Resulting in Noise Generation," ASME J. Engineering for Industry 98, 81-86.
57. Earles, S. W. E. and Soar, G. B., 1972, "Squeal Noise in Disc Brakes," Symp. On Vibration and Noise in Motor Vehicles, Institution of Mechanical Engineering, 61-69.
58. Earles, S. W. E. and Soar, G. B., 1974, "A Vibrational Analysis of a Pin-Disc System with Particular Reference to Squeal Noise in Disc-Brakes," in Stress, Vibration and Noise Analysis in Vehicles, Ed. H. G. Gibbs and T. H. Richards, Wiley, New York, 237-251.
59. Ehrich, F. F., 1969, "The Dynamic Stability of Rotor/Stator Radial Rubs in Rotating Machinery," ASME J. Engrg. for Industry, Series B 91(4), 1025-1028.
60. Ehrich, F. F., 1972, "Identification and Avoidanmce of Instabilities and Self-Excited Vibrations in Rotating Machinery," ASME Paper 72-DE-71.
61. Ehrich, F. F., 1988, “Self-Excited Vibration,” Chapter 5, Shock and Vibration Handbook, 3rd Edition, Edited by C. M. Harris, McGraw-Hill Book Co., New York.
62. Feeny, B. F. and Moon, F. C., 1989, "Autocorrelation on Symbol Dynamics for a Chaotic Dry-Friction Oscillator," Physics Letters A 141(8, 9), 397-400.
63. Feeny, B. F. and Moon, F. C., 1993a, "Bifurcation Sequences of a Coulomb Friction Oscillator," Nonlin Dynamics, in Press.
64. Feeny, B. F. and Moon, F. C., 1993b, "Chaos in a Forced Dry-Friction Oscillator: Experiments and Numerical Modeling," J.Sound and Vibration.
65. Felske, A., Hoppe, G. and Matthai, M., 1978, "Oscillations in Squealing Disc Brakes - Analysis of Vibration Modes by Holographic Interferometry," Soc. Autom. Engineering, Paper 780333.
66. Fengberg, U., 1989, "A Wheel-Rail-Squealing-Noise Model," Proc. Polish-German Workshop on Dynamical Problems in Mechanical Systems, Madralin, Poland.
67. Fingberg, U., 1990, "A Model of Wheel-Rail Squealing Noise," J. Souind & Vib. 143, 365-377.
68. Fern, A. A. and Dowell, E. H., 1985, “The Behavior of a Linear, Damped Model System with a Nonlinear Spring-Mass-Dry Friction Damper System Attached, Part II,”J. Sound & Vib. 101, 55-74.
69. Ferri, A. A. and Dowell, E. H., 1988, Frequency Domain Solutions to Multi-Degree-of-Freedom, Dry Friction Damped Systems," J. Sound &Vibration 124(2), 207-224.
70. Fosberry, A. A. C. and Holubecki, Z., 1955, "An Investigation of the Cause and Nature of Brake Squeal," Motor Industry Research Association (MIRA) Research Rept. 1955/2.
71. Fosberry, A. A. C. and Holubecki, Z., 1957a, "Some Experiments on the Prevention of Brake Squeal," Motor Industry Res. Association (MIRA), Res. Rept 1957/1.
72. Fosberry, A. A. C. and Holubecki, Z., 1957b, "Third Report on Squeal of Drum Brakes," (MIRA), Research Rept 1957/3.
73. Fosberry, A. A. C. and Holubecki, Z., 1959, "Interim Report on Disc Brake Squeal," (MIRA), Research Rept 1959/4.
74. Fosberry, A. A. C. and Holubecki, Z., 1961, "Disc Brake Squeal; Its Mechanism and Suppression," (MIRA), Research Rept 1961/2.
75. Franca, L. N. F. and Oliveira, J. C. F., 1990, "Stability of Some Mechanical Systems with Dry Friction," Dynamic Stability Systems 5(3), 129-136.
76. Galaitsis, A. G. and Bender, E. K., 1976, "Wheel/Rail Noise -Part V: Measurement of Wheel and Rail Roughness," J. Sound and Vibration 46(3), 437-451.
77. Godfrey, D., 1967, "Vibration Reduces Metal to Metal Contact and Causes an Apparent Reduction in Friction," ASLE Trans. 10, 183-192.
78. Grabec, I., 1986, "Chaos Generated by the Cutting Process," Phys. Lett. 117A (8), 384-386.
79. Grabec, I., 1987, "Dynamics of the Cutting Process," Reprint, University of Ljubjana.
80. Grabec, I., 1988, "Chaotic Dynamics of Cutting Process," Int. J. Machine Tools Manufact. 28(1), (Formerly Machine Tool Design and Research), 19-32.
81. Griffin, J. H., 1980, "Friction Damping of Resonant Stresses in Gas Turbine Engine Airfoils," ASME J. Of Engineering for Power 101, 329-333.
82. Grifin, J. H. and Sinha, A., 1982, "Friction Damping Flutter in Gas Turbine Engine Airfoils," AIAA Journal 20, 372-376.
83. Hahn, R. S., 1953, "Metal Cutting Chatter and Its Elimination,'’Trans. ASME 75, pp. 1073-1976.
84. Hastings, W. F., Oxley, P. L. B., and Stevenson, M. G., 1971, "Oscillations Generated by Cutting Process," Proc. 12th Int. Machine Tool Design and Research Conference, Manchester, Macmillan, London.
85. Herbst, W., Simon, W. and Wassmann, R., 1983, "Investigation of Noise Generation in Rail wheels," Report of the Bundesministerium fur Forschung und Tech., FRG, TV 8060 5.
86. Hertz, H„ 1881, "On the Contact of Elastic Solids," J. Reine und Anges. Math. 92, pp. 147-152.
87. Hertz, T. J. and Crawley, E. F., 1983, 'The Effects of Scale on the Dynamics of Flexible Space Structures," Report No. SSL 18-83, Space Systems Laboratory, Massachusetts Institute of Technology, Cambridge, MA.
88. Hertz, T. J. and Crawley, E. F., 1984, "Damping in Space Structure Joints," AIAA Dynamic Specialist Conference, Palm Springs, California, 17-18 May 1984, AIAA Paper 84-1039-CP.
89. Hess, D. P. and Soom, A., 1991a, "Normal Vibrations and Friction under Harmonic Loads, Part I: Hertzian Contact," ASME Journal of Tribology 113, 80-86.
90. Hess, D. P. and Soom, A., 1991b, "Normal Vibrations and Friction under Harmonic Loads, Part II: Rough Planar Contact," ASME Journal of Tribology 113, 87-92.
91. Hess, D. P and Soom, A., 1991c, "Unsteady Friction in the Presence of Vibrations," Proc. NATO-ASI on Fundamentals of Friction, Braunlage (Germany), Editors I. L. Singer and H. H. Pollock. Kluwe Academic.
92. Hess, D. P. and Soom, A., 1991 d, "Normal and Angular Motions at Rough Planar Contacts During Sliding with Friction," ASME Paper 91-Trib-22.
93. Hess, D. P. and Wagh, N. J., 1992, "Chaotic Vibrations and Friction at Mechanical Joints," Proc. Of the Symp. On Friction-Induced Vibration, Chatter, Squeal and Chaos, Editors R. A. Ibrahim and A. Soom, DE Vol-49, 149-156.
94. Hundal, M. S., 1979, “Response of a Base Excited System with Coulomb and Viscous Friction,” J.Sound and Vibration 64, 371-378.
95. Ibrahim, R. A., 1987, "Structural Dynamics with Parameter Uncertainties," ASME Applied Mech. Rev. 40(3), 309-328.
96. Ibrahim, R. A., Afaneh, A. and Lee, B. H., " Structural Modal Bifurcation with Internal Resonance, Part I: Deterministic Approach, Part n: Stochastic Approach," ASME J. Of Vibration and Acoustics 115(2), 182-201.
97. Inoue, H., 1986, "Analysis of Brake Judder Caused by Thermal Deformation of Brake Disc Rotors," Proc. Of the 21st FISITA Congr., Belgrade, 2.213-2.20.
98. Ivanov, A. P., 1986, "Correctness of the Basic Problem of Dynamics in Systems with Friction," Prikl Math. Mekh (PMM), English Translation, 50(5), 547-550.
99. Jacobsen, L. S., 1930, "Steady Forced Vibration as Influenced by Damping" Trans. ASME 52, 169-181.
100. Jacobsen, J., 1986, "On Damping of Railway Brake Squeal," Noise Control Engineering Journal.
101. Jarvis, R. P. and Mills, B., 1963, "Vibration Induced by Dry Friction," Proc. Instit. Mech. Engineers 178(32), 847-866.
102. Jezequel, L., 1981, "Structural Damping by Slip in Joints," ASME Paper No. 81-DET-139.
103. Jones, D. I. G. and Muszynska, A., 1978, “Nonlinear Modélisation of a Non-Conservative Blade Vibration Response,” Proc. VHIth Int. Conf. On Nonlinear Oscillations, Prague, 367-372.
104. Kapitaniak, T., 1991, Chaotic Oscillations in Mechanical Systems, Manchester University Press, Manchester.
105. Kato, S., Marui, E., Hashimoto, M., and Yamada, P., 1988, "The Properties of Self-Excited Chatter Vibration in a Spindle Work-Piece System, Part I and H," ASME J. Engineering for Industry 110, 236-241.
106. Kato, S. and Matsubayashi, T., 1970, "On the Dynamic Behavior of Machine-Tool Slideway - 1st Report," Bull. J.S.M.E. 13(55), 170-179.
107. Krauter, A. I., 1977, "Squeal of Water-Lubricated Elastomeric Bearings - An Exploratory Laboratory Examination," Shaker Research Report 77-TR-25, Ballston Lake, N.Y.
108. Krauter, A. I., 1981, “Generation of Squeal/Chatter in Water-Lubricated Elastomeric Bearings," ASME J. Lubricated Technology 103, 406-413.
109. Krauter, A. I. and Brower, D. C., 1978, "Squeal of Water-Lubricated Elastomeric Bearing - A Quantitative Laboratory Investigation," Tech. Rept. SRC 78-TR-26, Shaker Research Corp., Ballston Lake, New York.
110. Lang, A. M. and Newcomb, T. P., "An Experimental Investigation into Drum Brake Squeal," I. Mech. Engrg. C3 82/051, 431-444.
111. Levitan, E. S., 1960, “Forced Oscillation of a Spring-Mass System Having Combined Coulomb and Viscous Damping,” J.Acoustical Society of America 32, 1265-1269.
112. Lewis, T. M. and Shah, P., 1987, "Analysis and Control of Brake Noise," Soc. Automotive Engineering (SAE) Paper 872240.
113. Lin, J. S. and Weng, C. I., 1991, "Nonlinear Dynamics of the Cutting Processing," Int. J. Mech. Sci. 33, 645-657.
114. Ludema, K. C., 1967, "Discussion on 'Friction-Induced Vibration' by C. A. Brockley, R. Cameron, and A. F. Potter," ASME J. Lubrication Technology 89, p. 107.
115. Lyons, W. M., Busby, H. R. and Singh, R., 1985, "Pin-Disk Modeling Concept Applied to the Brake Squeal Problem," ASME Paper 85-DET-136.
116. Mahalingam, S., 1975, "The Response of Vibrating Systems with Coulomb and Linear Damping Inserts," J. Sound and Vibration 41(3), 311-320.
117. Makris, N. and Constantinou, M. C., 1991a, "Analysis of Motion Resisted by Friction. I: Constant Coulomb and Linear Friction," Mech. Struct. & Mech. 19(4), 477-500.
118. Makris, N. and Constantinou, M. C., 1991b, "Analysis of Motion Resisted by Friction. I: Velocity-Dependent Friction," Mech. Struct. & Mech. 19(4), 501-526.
119. Mami, E. and Kato, S., 1984, “Forced Vibration of a Base Excited Single-Degree-of-Freedom System with Coulomb Friction,” ASME J. Dynamic Systems, Measurement, and Control 106, 280-285.
120. Martins, J. A. C., Oden, J. T. and Simoes, F. M. F., 1990, "A Study of Static and Kinetic Friction," In. J. Eng. Science 28, 29-92.
121. Marui, E. and Kato, S., 1984, “Forced Vibration of a Base Excited Single-Degree-of-Freedom System with Coulomb Friction,” ASME J. Dynamic Systems, Measurement, and Control 106, 280-285.
122. Millner, N., 1978, "An Analysis of Disc Brake Squeal," Soc. Autom. Engineering, Paper 780332.
123. Moon, F. C., 1993, "Chaotic Dynamics and Fractals in Material Removal Processes," Proc. IUTAM Symposium on Nonlinearity and Chaos in Engineering Dynamics, London.
124. Moon, F. C. and Li, G. X., 1990, "Experimental Study of Chaotic Vibration in a Pin-Jointed Space Truss Structure," AIAA JournallS, 915-921.
125. Murakami, H., Tsunada, N. and Kitamura, T., 1984, "A Study Concerned with Mechanism of Disc-Brake Squeal," Society of Automotive Engineering (SAE) Paper 841233
126. Muszynska, A., 1986, "Whirl and Whip - Rotor/Bearing Stability Problems," J. Sound and Vibration 110, 443-462.
127. Muszynska, A. and Jones, D. I. G., 1978, "Nonlinear Modélisation of Nonconservative Blade Vibration Response," Proc. the VUIth Int. Conf. On Nonlinear Oscillations, Prague, 367-372.
128. Muszynska, A. and Jones, D. I. G., 1979, "On Discrete Modelization of Response of Blades with Slip and Hysteretic Damping," Proc. Of the 5th World Congress on Theory of Machines and Mechanisms.
129. Muszynska, A. and Jones, D. I. G., 1983a, “A Parametric Study of Dynamic Response of a Discrete Model of Turbomachinery Bladed Disk,” ASME Paper No. 81-DET-137.
130. Muszynska, A. and Jones, D. I. G., 1983b, “On Tuned Bladed Disk Dynamics: Some Aspects of Friction Related Mis-tuning,” J. Sound and Vibration 86, 107-128.
131. Nakai, N., et al., 1981, Treatise of JSME (Vol. C) 47(423), p. 14-66.
132. Nakai, N, Chiba, Y. and Yokoi, M., 1982, "Railway Wheel Squeal," Bulletin of the Japanese Society of Mechanical Engineers 25, 1127-1134.
133. Nakai, N. and Yokoi, M., 1990, "Generation Mechanism of Friction Noises in Dry Friction," Japan J. Of Tribology 35(5), 513-522.
134. Narayanan, S. and Jayaraman, K., 1991, "Chaotic Vibration in a Nonlinear Oscillator with Coulomb Damping," J. Sound and Vibration 146(1), 17-31.
135. Nayak, P. R., 1972, "Contact Vibrations," J. Sound and Vibrations 22, 297-322.
136. Niemann, G. and Ehrlenspiel, K., 1964, “Relative Influence of Various Factors on the Stick-Slip of Metals," J. American Society of Lubrication Engineering, 84-86.
137. North, M. R., 1969., "A Survey of Published Work on Vibration in Braking Systems," Motor Industry Research Association (MIRA) Bull.4.
138. North, M. R., 1972a, "Disc Brake Squeal - A Theoretical Model," Motor Industry Research Associa-tion (MIRA) Research Rept 1972/5.
139. North, M. R., 1972b, "Frictionally Induced Self-Excited Vibrations in a Disc Brake System," Ph.D. Thesis, Loughborough University.
140. North, M. R., 1976, "Disc Brake Squeal," Proc. Conf. On Brake of Road Vehicles, Institution of Mechanical Engineers C38/76, 169-176.
141. Ostachowicz, W. M., 1990, "A Discrete Linear Beam Model to Investigate the Nonlinear Effect of Slip Friction," Computers & Structures 36(4), 721-728.
142. Pan, C. H. T., Lund, J. W., Gu, A. and Walowit, J. A., 1971, "Stick-Slip Excitation of Propeller-Shaft Torsional Vibration as a Source of Bearing Squeal," Mechanical Tech. Inc., Tech. Rept. No. MTI-71TR44.
143. Pâmes, R., 1984, “Response of an Oscillator to a Ground Motion with Coulomb Friction Slippage,” J.Sound and Vibration 94, 469-482.
144. Pelton, H. K., 1989, "Solving Disk Brake Squeal on Oil Drilling Rigs," J.Sound and Vibration, 23(10), 14-18.
145. Pfeiffer, F., 1991, "Dynamical Systems with Time-Varying or Unsteady Structure," ZAMM 71, 6-22.
146. Pfeiffer, F., 1992, "On Stick-Slip Vibrations in Machine Dynamics," Machine Vibration, 20-28.
147. Pfeiffer, F., 1993, "Complementary Problems of Stick-Slip Vibrations," Proc. Of the Symp. On Dynamics and Vibrations of Time-Varying Systems and Structures, Editors S. C. Sinha and R. M. Evan-Iwanowski, ASME vibration Conference, DE-Vol. 56, 43-50.
148. Pfeiffer, F. and Hajek, M., 1992, "Stick-Slip Motion of Turbine Blade Dampers," Phil. Trans. Royal Society London A 338, 503-517.
149. Pierre, C., Ferri, A. A. and Dowell, E. H., 1985, “MultiHarmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method,” ASME J. Applied Mechanics 51, 958-964.
150. Pires, E. B. and Oden, J. T., 1983, "Analysis of Contact Problems with Friction under Oscillating Loads," Comput. Methods Appl. Mech. Engrg. 39, 337-362.
151. Plunkett, R., 1980, “Friction Damping,” in Damping Applications for Vibration Control, AMD, Vol. 38, Edited by P. J. Torvik, ASME, pp. 65-74.
152. Popp, K., 1992, "Some Model Problems Showing Stick-Slip Motion and Chaos," ASME WAM, Proc. Symp. On Friction-Induced Vibration, Chatter, Squeal and Chaos, Ed. R. A. Ibrahim and A. Soom, DE-Vol. 49, 1-12.
153. Popp, K., Schneider, E. and Irretier, H., 1985, Noise Generation in Railway Wheels due to Rail-Wheel Contact Forces," Proc. 9th IAVSD Symposium, Linköping, pp. 448-466. Also International Journal of Vehicle Mechanics and Mobility 14, 188-193.
154. Popp, K. and Stelter, P., 1990a, “Nonlinear Oscillations of Structures Induced by Dry Friction," Proc. IUTAM Symp. Om Nonlinear Dynamics in Engineering Systems, W. Schiehlen (editor), 233-240, Springer-Verlag, Berlin.
155. Popp, K. and Stelter, P., 1990b, "Stick-Slip Vibrations and Chaos," Phil. Trans. Royal Soc. London A. 332, 89-105.
156. Pratt, T. K. and Williams, R., 1981, “Nonlinear Analysis of Stick-Slip Motion,” J.Sound and Vibration 74(4), 531-542.
157. Ramamurti, V., Rao, V. R. S., and Sriram, N. S., 1990, "Machine Tool Vibration, A Review," The Shock and Vibration Digest 22(10), 10-17.
158. Remington, P. J., 1976a, ""Wheel/Rail Noise, Part I: Characterization of the Wheel/Rail Dynamic System," J. Sound and Vibratioin 46, 359-379.
159. Remington, P. J„ 1976b, "Wheel/Rail Noise, Part IV: Rolling Noise," J. Sound and Vibratioin 46, 419-436.
160. Remington, P. J., 1985, "Wheel/Rail Squeal and Impact Noise: What Do We Know? What Don't We Know? Where Do We Go From Here?," J.Sound and Vibration 116(2), 339-353.
161. Remington, P. J., Rudd, M. J. and Ver, I. L., 1975, Wheel Rail Noise and Vibration: Volume 1, Mechanics of Wheel/Rail Noise Generation, Volume2, Applications to Control of Wheel/Rail Noise," U.S. Department of Transportation Report No. UMTA-MA-06-0025-75-10.
162. Rhee, S. K, Tsang, H. S. and Wang, Y. S., 1989, "Friction-Induced Noise and Vibration of Disc Brakes," Wear 133, 39.
163. Rozhdestvenskii, V., 1979, “Forced Oscillations of an Oscillator with Dry Friction,” Mekhanika Tverdogo Tela 14, 21-26.
164. Rudd, M. J., 1976, "Wheel/Rail Noise - Part II: Wheel Squeal," J. Sound and Vibration 46(3), 381-394.
165. Sakamoto, T„ 1985, "Normal Displacement of the Sliding Body in a Stick-Slip Friction Process," Proc. Of JSLE Inti. Trib. Conf. Tokyo, 141-146.
166. Sakamoto, T., 1987, "Normal Displacement and Dynamic Friction Characteristics in a Stick-Slip Process," Tibology International 20(1), 25-31.
167. Schiehlen, W. O. and Schramm, D., 1983, “Application of Analytical Mechanics to Systems with Coulomb Friction,” Proc. IUTAM Symposium on Modern Developments in Analytical Mechanics, Editors S. Benenti, M. Francaviglia and A. Lichnerowicz, Turin: Acta Academiae Sci., 753-758.
168. Schlesinger, A., 1979, "Vibration Isolation in the Presence of Coulomb Friction," J. Sound and Vibration 63(2), 213-224.
169. Schneider, E., Popp, K., and Irretier, H., 1988, "Noise Generation in Railway Wheels due to Rail-Wheel Contact Forces," J. Sound and Vibration 120, 227-244.
170. Schwartz, H. W., Hays, W. D., Jr. and Tarter, J. H., 1985, "A Systematic Approach to the Analysis of Brake Noise," Soc. Automotive Engineering (SAE), Paper No.850990, 267-275.
171. Shaw, S. W., 1986, "On the Dynamic Response of a System with Dry Friction," J. Sound and Vibration 108(2), 305-325.
172. Sinclair, D. and Manville, N. J., 1955, "Frictional Vibration," ASME J. Appl. Mech., 207-213.
173. Singh, B. R., 1960, "A Study of Critical Velocity of Slip-Stick Sliding," ASME J.Engineering for Industry 82, p. 393.
174. Siriha, A., 1990, "Friction Damping of Random Vibration in Gas Turbine Engine Airfoils," Int. J. Turbo Jet Engines 7(1-2), 95-102.
175. Sinha, A. and Griffin, J. H., 1983, "Friction Damping of Flutter in Gas Turbine Engine Airfoils," AIAA Journal of Aircraft 20(4), 372-376.
176. Sinha, A. and Griffin, J. H., 1984, "Effects of Static Friction on the Forced Response of Frictionally Damped Turbine Blades," ASME J. Engineering for Gas Turbine and Power 106(1), 65-69.
177. Smith, R. L. and Pan, C. H. T., 1975, “An Exploratory Laboratory Simulation of Stick-Slip Induced Vibration of Water Lubricated Compliant-Layer Bearing,” Shaker Research Corp., Ballston Lake, N.Y., Tech Reprt. 75-TR-ll.
178. Smith, R. L., Pan, C. H. T, Wilson, D. S. and Rrauter, A. I., 1976, "Laboratory Examination of Vibration Induced by Friction of Water-Lubricated Compliant-Layer Bearings," Shaker Research Corp., Ballston Lake, N.Y., Tech Rept. SRC 76-TR-18.
179. Soom, A. and Kim, C., 1983, "Roughness-Induced Dynamic Loading at Dry and Boundary-Lubricated Sliding Contacts," ASME J. Lubrication Technology 105, 514-517.
180. Soom, A. and Chen, J. W., 1986, "Simulation of Random Surface Roughness-Induced Contact Vibrations at Hertzian Contacts During Steady Sliding," ASME J. Tribology 108, 123-127.
181. Spurr, R. T., 1961, "A Theory of Brake Squeal," Proc. Of the Automotiv Division, Inst. Mechanical Engineers (AD) 1, 33-40.
182. Srinivasan, A. V. and Cutts, D. G., 1983, Dry Friction Damping Mechanisms in Engine Blades, ASME Journal of Engineering for Power 105(2), 332-341.
183. Stappenbeck, H., 1954, "Street Car Curve Noise," Zeitschrift Vereinschaft Deutscher Ingenieuren, 171-175.
184. Stelter, P. and Sextro, W., 1991, "Bifurcations in Dynamic Systems with Dry Friction," Int. Series of Numerical Math. 97, 343-347.
185. Stelter, P., 1992, "Nonlinear Vibrations of Structures Induced by Dry Friction," Nonlinear Dynamics 3, 329-345.
186. Stepan, G., 1989, Retarded Dynamical Systems: Stability and Characteristic Functions, Pitman Research Notes in Mathematics Series 210, H. Brezez, R. G. Douglas, and A. Jeffrey (Eds.), Essex.
187. Sueoka, S., et al., 1986, Treatise ofJSME (Vol. C) 52(473).
188. Sugimoto, T., 1984, Automotive Technology 35(4), p. 427.
189. Suh, N. P. and Sin, H. C., 1981, "The Genesis of Friction," Wear 69, 91-114.
190. Tang, D. M., and Dowell, E. H., 1986a, “Damping in Beams and Plates due to Slipping at the Support Boundaries, Part 2: Numerical and Experimental Study,” J. Sound & Vibration 108(3), 509-522.
191. Tang, D. M. and Dowell, E. H., 1986b, "Random Response of Beams and Plates with Slipping at Support Boundaries," AIAA Journal 24(8), 1354-1361.
192. Tarter, J. H., 1983, "Disc Brake Squeal," SAE Paper 830530.
193. Taukhan, N. M., 1982, “Forced Oscillations of Mechanical Systems with Allowance for Dry Friction,” Mekhanika Tverdogo Tela 17, 50-55.
194. Thomas, S., 1930, "Vibrations Damped by Solid Friction," The Philosophical Magazine, London, Series 7, Vol. 9, p. 329.
195. Thomson, P. J. and Sarwar, M., 1974, Proceedings of the 15th MTDR Conference, Birmingham, 218-220.
196. Tlusty, J., 1985, "Machine Dynamics," Chapter 3, 48-143, Handbook oh High-Speed Machining Technology, Chapman and Hall, London.
197. Tlusty, J. and Ismail, F., 1981, "Basic Nonlinearity in Machining Chatter," Ann. CIRP 30, 299-304.
198. Tobias, S. A., 1965, Machine-Tool Vibration, John Wiley, New York.
199. Tolstoi, D. M., 1967, "Significance of the Normal-Degree-of-Freedom and Natural Normal Vibrations in Contact Friction," Wear 10, 199-213.
200. Tolstoi, D. M., Borisova, G. A. and Grigorova, S. R., 1971, "Role of Interinsic Contact of Oscillations in Normal Direction During Friction," in Nature of the Friction in Solids, Nauka i Tekhnica, Minsk.
201. Tolstoi, D. M., Borisova, G. A. and Grigorova, S. R., 1973, "Friction Reduction by Perpendicular Oscillation," Soviet Physics-Doklady 17, 907-909.
202. Tondl, A., 1970, Self-Excited Vibrations, Monograph No. 9, National Res. Institute for Machine Design, Bechovice.
203. Tondl, A., 1975a, "Quenching of Self-Excited Vibrations: Equilibrium Aspects," J. Sound and Vibrations 42, 251-260.
204. Tondl, A., 1975b, "Quenching of Self-Excited Vibrations: One-and Two-Frequency Vibrations," J. Sound and Vibrations 42, 261-271.
205. Tondl, A. 1976, "Quenching of Self-Excited Vibrations: Effect of Dry Friction," J. Sound and Vibration 45(2), 285-294.
206. Tondl, A., 1978, On the Interaction Between Self-Excited and Parametric Vibrations, Monograph No. 25, National Res. Institute for Machine Design, Bechovice.
207. Unger, E. E., 1966, "On Panel Vibration Damping Due Structural joints," AIAA Journal 4, 1385-1390.
208. Unger, E. E., 1973, "The Status of Engineering Knowledge Concerning Damping of Built-up Structures," J. Sound and Vibration 26, 141-154.
209. Utkin, V. I., 1978, Sliding Modes and Their Application in Variable Structure Systems, MIR Publications, Moscow.
210. Ver, I. L., Ventres, C. S. and Myles, M. M„ 1976, ""Wheel/Rail Noise, Part IH: Impact Noise Generation by Wheel and Rail Discontinuities," J. Sound and Vibratioin 46, 395-417.
211. Voorhes, W. G., 1963, “Investigation of Stick-Slip in Simulated Slideways,” J. American Society of Lubrication Engineering (ASLE), 457-462.
212. Watari, A. and Sugimoto, T., 1963, Treatise of JSME 29(200), p. 769.
213. Watari, A. and Sugimoto, T., 1964, "Vibrations Caused by Dry Friction," Bull J.S.M.E.7, 40-52.
214. Wei, S. T. and Pierre, C., 1989, “Effects of Dry Friction Damping on the Occurrence of Localized Forced Vibrations in Nearly Cyclic Structures,” J. Sound and Vibrations 129(3), 397-416.
215. Welbourn, D. B. and Smith, J. D., 1970, Machine Tool Dynamics, Cambridge University Press.
216. Wells, J. H., 1929, "Kinetic Boundary Friction," The Engineer, London 147, p. 454.
217. Wu, S. C., Yang, S. M. and Haug, E. J, 1986, "Dynamics of Mechanical Systems with Coulomb Friction, Stiction, Impact, and Constraint Addition-Deletion," Mechanism and Machine Theory 21(5), 417-425.
218. Yamakawa, I., 1962, “Effect of Coulomb Friction on the Forced Vibration of a System with Elastically Supported Viscous Damper,” Bull. Japanese Society of Mechanical Engineering 5, 394-401.
219. Yokoi, M. and Nakai, M., 1979, "A Fundamental Study on Frictional Noise," Bull. Japanese Society of Mechanical Engineering 22(173), 1665-1671.
220. Yokoi, M. and Nakai, M., 1980, Treatise of JSME Vol C 46(404), p. 383.
221. Yokoi, M. and Nakai, M„ 1981a, Treatise of JSME Vol C 47(421), p. 1167.
222. Yokoi, M. and Nakai, M., 1981b, JSME Lecture Papers 814(4), p. 53.