Mode coupling instability in friction-induced vibrations and its dependency on system parameters including damping

European Journal of Mechanics, A/Solids

Volumn 26, Issue 1, 2007, Pages 106-122

  Sinou, Jean Jacques ^a   Jézéquel, Louis ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DEGREES OF FREEDOM (MECHANICS); INTERNAL FRICTION; NUMERICAL METHODS; STRUCTURAL DESIGN;

BRAKING SYSTEMS; CYCLE AMPLITUDES; DYNAMIC BEHAVIOR; UNSTABLE MODES;

VIBRATIONS (MECHANICAL);

EID: 33845303566     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2006.03.002     Document Type: Article

References (24)

1. Antoniou S.S., Cameron A., and Gentle C.R. The friction-speed relation from stick-slip data. Wear 36 (1976) 235-254
2. 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
3. Chambrette P., and Jézéquel L. Stability of a beam rubbed against a rotating disc. Eur. J. Mech. A Solids 11 (1992) 107-138
4. Crolla D.A., Lang A.M., 1991. Brake noise and vibration - state of art. In: Proceedings of the 17th Leeds-Lyon Symposium on Tribology, vol. 18, pp. 165-174
5. D'Souza A.F., and Dweib A.H. Self-excited vibrations induced by dry friction. Part 2: Stability and limit-cycle analysis. J. Sound Vib. 137 2 (1990) 177-190
6. Earles S.W.E., Soar G.B., 1971. Squeal noise in disc brakes. In: Proc. I. Mech. E. Conf. on Vibration and Noise in Motor Vehicles, pp. 61-69
7. Earles S.W.E., and Chambers P.W. Disc brake squeal noise generation: predicting its dependency on system parameters including damping. Int. J. Vehicle Design 8 (1987) 538-552
8. Earles S.W.E., and Lee C.K. Instabilities arising from the frictional interaction of a pin-disc system resulting in noise generation. Trans. ASME J. Engrg. Ind. 98 1 (1976) 81-86
9. Gao C., Kuhlmann-Wilsdorf D., and Makel D.D. The dynamic analysis of stick-slip. Wear 173 (1994) 1-12
10. Hoffmann N., and Gaul L. Effects of damping on mode-coupling instability in friction-induced oscillations. ZAMM Z. Angew. Math. Mech. 83 8 (2003) 524-534
11. Hultén J., 1997. Friction phenomena related to drum brake squeal instabilities. In: ASME Design Engineering Technical Conferences, Sacramento, CA, ASME Paper DETC97/VIB-4161
12. Hultén J., 1993. Drum brake squeal - a self-exciting mechanism with constant friction. In: SAE Truck and Bus Meeting, 1993, Detroit, Mi, USA, SAE Paper 932965
13. Ibrahim R.A. Friction-induced vibration, chatter, squeal and chaos: Part I - Mechanics of contact and friction. ASME Appl. Mech. Rev. 47 7 (1994) 209-226
14. Ibrahim R.A. Friction-induced vibration, chatter, squeal and chaos: Part II - Dynamics and modeling. ASME Appl. Mech. Rev. 47 7 (1994) 227-253
15. Jarvis R.P., and Mills B. Vibrations induced by dry friction. Proc. Instn. Mech. Engrs 178 32 (1963/1964) 847-866
16. Kinkaid N.M., O'Reilly O.M., and Papadopoulos P. Automotive disc brake squeal. J. Sound Vib. 267 (2003) 105-166
17. Millner N., 1978. An analysis of disc brake squeal, SAE Paper 780332
18. North M.R., 1972. A Mechanism of disc brake squeal. In: 14th FISITA Congress, Paper 1/9
19. Oden J.T., and Martins J.A.C. Models and computational methods for dynamic friction phenomena. Comput. Methods Appl. Mech. Engrg. 52 (1985) 527-634
20. Shin K., Brennan M.J., Oh J.-E., and Harris C.J. Analysis of disc brake noise using a two-degree-of-freedom model. J. Sound Vib. 254 (2002) 837-848
21. Shin K., Oh J.-E., and Brennan M.J. Nonlinear analysis of friction induced vibrations of a two degree of freedom model for disc brake squeal noise. JSME Int. J. 45 (2002) 426-432
22. Sinou J.-J., Thouverez F., and Jézéquel L. Analysis of friction and instability by the centre manifold theory for a non-linear sprag-slip model. J. Sound Vib. 265 (2003) 527-559
23. Sinou J.-J., Thouverez F., and Jézéquel L. Stability and non-linear analysis of a complex rotor/stator contact. J. Sound Vib. 278 (2004) 1095-1129
24. Spurr R.T. A theory of brake squeal. Proc. Auto. Div. Instn. Mech. Engrs 1 (1961) 33-40