Stability analysis and μ-synthesis control of brake systems

Journal of Sound and Vibration

Volumn 298, Issue 4-5, 2006, Pages 1073-1087

  Lignon, S ^a   Sinou, J J ^a   Jezequel L ^a  

^a LABORATOIRE DE TRIBOLOGIE ET DYNAMIQUE DES SYSTÈMES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLINGS; FRICTION; MACHINE DESIGN; SENSITIVITY ANALYSIS; SYSTEM STABILITY; VIBRATIONS (MECHANICAL);

BRAKE DESIGN; CONTROLLED BRAKE SYSTEM; JUDDERS; STABILITY ANALYSIS;

BRAKES;

EID: 33748870766     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2006.06.033     Document Type: Article

References (32)

1. Ibrahim R.A. Friction-induced vibration, chatter, squeal and chaos: Part I-mechanics of contact and friction. ASME Applied Mechanics Review 47 7 (1994) 209-226
2. Ibrahim R.A. Friction-induced vibration, chatter, squeal and chaos: Part II-dynamics and modeling, applied mechanics review. ASME Applied Mechanics Review 47 7 (1994) 227-253
3. Bowden F.P., and Tabor D. The Friction and Lubrication of Solids. second corrected ed (2001), Oxford University Press, Clarendon Press, Oxford (Oxford Classic Text in the Physical Sciences)
4. Rabinowicz E. Friction and Wear of Materials (1965), Wiley, New York
5. Armstrong-Hélouvry B., DuPont P., and Canudas de Wit C. A survey of models, analysis tools and compensation methods for the control of machines with friction. Automatica 30 7 (1994) 1093-1138
6. Oden J.T., and Martins J.A.C. Models and computational methods for dynamic friction phenomena. Computer Methods in Applied Mechanics and Engineering 52 (1985) 527-634
7. M.R. North, 14th FISITA Congress, Paper 1/9, A Mechanism of disc brake squeal, 1972.
8. M.R. North, ImechE, C38, Disc brake squeal, 1976.
9. Crolla D.A., and Lang A.M. Tribologie, vehicle tribology. Brake Noise and Vibration-State of Art 18 (1991) 165-174
10. Kinkaid N.M., O'Reilly O.M., and Papadopoulos P. Automotive disc brake squeal. Journal of Sound and Vibration 267 (2003) 105-166
11. Ouyang H., Mottershead J.E., Cartmell M.P., and Friswell M.I. Friction-induced parametric resonances in discs: effect of a negative friction velocity relationship. Journal of Sound and Vibration 2092 (1998) 251-264
12. Ouyang H., Mottershead J.E., Brookfields D.J., James S., and Cartmell M.P. A methodology for the determination of dynamic instabilities in a car disc brake. International Journal of Vehicle Design 23 (2000) 241-262
13. Ouyang H., Mottershead J.E., Cartmell M.P., and Brookfield D.J. Friction-induced vibration of an elastic slider on a vibrating disc. International Journal of Mechanical Sciences 41 3 (1999) 325-336
14. Ouyang H., and Mottershead J.E. Unstable travelling waves in the friction-induced vibration of discs. Journal of Sound and Vibration 248 4 (2001) 768-779
15. S.W.E. Earles, G.B. Soar, Squeal noise in disc brakes, in: Proceedings of the Institution of Mechanical Engineers, Symposium on Vibration and Noise in Motor Vehicles, Paper C100/71, 1971.
16. S.W.E. Earles, M.N.M. Badi, SAE Paper 780331, On the interaction of a two-pin-disc system with reference to the generation of disk-brake squeal, 1978.
17. N. Millner, SAE Paper 780332, An Analysis of Disc Brake Squeal, 1978.
18. Earles S.W.E., and Lee. Trans ASME C.K. Instabilities arising from the frictional interaction of a pin-disc system resulting in noise generation. Journal of Engineering for Industry 98 Series B, no. 1 (1976) 81-86
19. H.R. Mills, 1938/1939 Research Report no. 9000B and Research Report no. 9162B of the Institution of Automobile Engineers, Brake Squeal, 1938/1939.
20. Earles S.W.E., and Chambers P.W. 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
21. Sinou J.J., Thouverez F., and Jezequel L. Analysis of friction and instability by the centre manifold theory for a non-linear sprag-slip model. Journal of Sound and Vibration 265 (2003) 527-559
22. Spurr R.T. A theory of brake squeal. in: Proceedings of the Automotive Division, the Institution of Mechanical Engineers 1 (1961) 33-40
23. Jarvis R.P., and Mills B. Vibrations induced by dry friction. in: Proceedings of the Institution of Mechanical Engineers 178 32 (1963/1964) 847-866
24. Doyle J.C. Analysis of feedback systems with structured uncertainty. IEE Proceedings, Part D 129 (1982) 242-250
25. Packard A., and Doyle J. The complex structured singular value. Automatica 29 1 (1993) 71-109
26. Packard A., Doyle J., and Balas G.J. Linear, multivariable robust control with a μ perspective. Journal of Dynamic Systems, Measurement and Control 115 (1993) 426-438
27. Venini P. Robust control of uncertain structures. Computers & Structures 67 (1998) 165-174
28. G.J. Balas, J. Doyle, K. Glover, A. Packard, R. Smith, μ-Analysis and Synthesis Toolbox (for use with MATLAB), The Math Works, Natick, MA, 1993.
29. J. Markerink, S. Bennani, B. Mulder, Design of a Robust Controller for the HIRM using μ-synthesis, Report, GARTEUR (Group for Aeronautical Research and Technology in Europe), 1997.
30. Lanzon A. Pointwise in frequency performance weight optimization in μ-synthesis. International Journal of Robust and Nonlinear Control 15 (2005) 171-199
31. Wu J.D., and Lin J.H. Implementation of an active vibration controller for gear-set shaft using μ-synthesis. Journal of Sound and Vibration 281 (2005) 1037-1055
32. J.P. Boudot, Modélisation des bruits de freinage des véhicules Industriels, Ph.D. Thesis, Ecole Centrale de Lyon, 1995.