Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-24T12:06:00.009Z Has data issue: false hasContentIssue false
  • English
  • Français

Instabilités de contact : analyses temporelle, aux valeurs propres et validation expérimentale

Published online by Cambridge University Press:  06 February 2008

Anissa Meziane ,
Laurent Baillet ,
Bernard Laulagnet ,
Claude Godeau  and
Yves Berthier
Anissa Meziane
Affiliation:
Laboratoire de Mécanique des Contacts et des Solides, INSA-Lyon, CNRS UMR 5259, 69621 Villeurbanne, France
Laurent Baillet
Affiliation:
Laboratoire de Géophysique Interne et de Tectonophysique, Université Joseph Fourier CNRS, BP 53, 38041 Grenoble Cedex 9, France
Bernard Laulagnet
Affiliation:
Laboratoire de Vibrations et Acoustique, INSA-Lyon, 20 avenue Albert Einstein, 69621 Villeurbanne, France
Claude Godeau
Affiliation:
Laboratoire de Mécanique des Contacts et des Solides, INSA-Lyon, CNRS UMR 5259, 69621 Villeurbanne, France
Yves Berthier
Affiliation:
Laboratoire de Mécanique des Contacts et des Solides, INSA-Lyon, CNRS UMR 5259, 69621 Villeurbanne, France
Get access

Abstract

Les instabilités générées par frottement sont responsables des divers bruits tels que le crissement, le sifflement ou le broutement... Pour modéliser et comprendre ce phénomène d'instabilités, les analyses temporelles et aux valeurs propres sont utilisées sur un système modèle constitué de deux poutres en contact. Dans l'analyse aux valeurs propres, l'instabilité se manifeste par la coalescence de deux modes propres du système. Dans l'analyse temporelle, l'instabilité est caractérisée par des zones d'adhérence ou de décollement qui apparaissent au niveau de la surface de contact. Les résultats issus des deux analyses sont cohérents et complémentaires. Une validation expérimentale a été effectuée et montre une bonne corrélation entre les résultats numériques et expérimentaux.

Keywords

Friction-induced instabilitiessquealcontactdynamicsFinite-elementsInstabilités de contactcrissementcontactdynamiqueéléments-finis
Type
Research Article
Information
Mechanics & Industry , Volume 8 , Issue 6 , November 2007 , pp. 597 - 607
Copyright
© AFM, EDP Sciences, 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ibrahim, R.A., Friction-induced vibration, chatter, squeal, and chaos, Part I: Mechanics of contact and friction, ASME Appl. Mech. Rev. 47 (1994) 209–226 CrossRef
Ibrahim, R.A., Friction-induced vibration, chatter, squeal, and chaos, Part II: Dynamics and modeling, ASME Appl. Mech. Rev. 47 (1994) 227–253 CrossRef
A. Akay, Acoustic of friction, Acoustic Soc. Am. (2002) 1525–1548
Duffour, P., Woodhouse, J., Instability of systems with a frictional point contact. Part 1: basic modelling, J. Sound Vib. 271 (2004) 365–390 CrossRef
H.R. Mills, Brake squeal, Institution of Automobile Engineers, 1938
Block, H., Fundamental mechanical aspect of boundary lubrication, SAE J. 46 (1940) 54–68
Spurr, R.T., A theory of brake squeal, Proceedings of the Automotive division, Inst. Mech. Eng. 1 (1961) 33–52
M. North, Disc brake squeal, Proceeding of the Institution of Mechanical Engineering C38/76, 1976 pp. 196–176
J.E. Mottershead, S.N. Chan, Brake squeal – an analysis of symmetry and flutter instability, Friction-induced vibration, chatter, squeal and chaos, ASME, 49 (1992)
Kung, S.W., Dunlap, K.B., Ballinger, R.S., Complex eigenvalue analysis for reducing low frequency Brake squeal, Soc. Automotive Eng. 109 (2001) 91–123
Hendricx, W., Garesci, F., Pezzutto, A., Van der Auweraer, H., Experimental and numerical modelling of friction induced noise in disc brakes, SAE Int. 1 (2002) 1566–1571
Flint, J., Hultén, J., Lining-deformation-induced modal coupling as squeal generator in a distributed parameter disc brake model, J. Sound Vib. 254 (2002) 1–21 CrossRef
Huang, J., Krousgrill, C.M., Bajaj, A.K., Modeling of automotive drum brakes for squeal and parameter sensitivity analysis, J. Sound Vib. 289 (2006) 245–263 CrossRef
A. Tuchinda, N.P. Hoffmann, D.J. Ewins, W. Keiper, Effect of pin finite width on instability study of the pin-on-disc system, Proceedings of the International modal analysis conference 1, 2002, pp. 552–557
Baillet, L., D'Errico, S., Berthier, Y., Influence of sliding contact local dynamics on global friction coefficient variation, Revue Européenne des Éléments Finis 14 (2005) 305–322 CrossRef
V.G. Oanca, T.A. Laursen, Dynamics of a state variable frictional law in finite element analysis, finite elements in analysis and design, Elsevier, 1996 pp. 25–40
Oanca, V.G., Laursen, T.A., Stability analysis of state dependent dynamic frictionnal sliding, Int. J. Non-Linear Mechanics 32 (1997) 837–853 CrossRef
Ouyang, H., Mottershead, J.E., Brookfield, D. J., James, S., Cartmell, M. P., A methodology for the determination of dynamic instabilities in a car disc brake, Int. J. Vehicle Design, Special Issues on Brake Roughness, Noise, Vibration and Dynamics 23 (2000) 241–262
Sinou, J. J., Thouverez, F., Jezequel, L., Non-linear stability analysis of a complex rotor/stator contact system, J. Sound Vib. 278 (2004) 1095–1129 CrossRef
Chargin, M.L., Dunne, L.W., Herting, D.N., Nonlinear dynamics of brake squeal, Finite element in analysis and design 28 (1997) 69–82 CrossRef
Lee, Y.S., Brooks, P.C., Barton, D.C., Crolla, D.C., A predictive tool to evaluate disc brake squeal propensity, Part 1: the model philosophy and the contact problem, Int. J. Vehicle design 31 (2003) 289–308 CrossRef
Lee, Y.S., Brooks, P.C., Barton, D.C., Crolla, D.C., A predictive Tool to evaluate disc brake squeal propensity, Part 2: system linearization and modal analysis, Int. J. Vehicle design 31 (2003) 309–329 CrossRef
Lee, Y.S., Brooks, P.C., Barton, D.C., Crolla, D.C., A predictive tool to evaluate disc brake squeal propensity, Part 3: parametric design studies, Int. J. Vehicle design 31 (2003) 330–353 CrossRef
Vola, D., Raous, M., Martins, J.A.C., Friction and instability of steadysliding: squeal of a rubber/glass contact, Int. J. Num. Methods Eng. 46 (1999) 1699–1720 3.0.CO;2-Y>CrossRef
Abu Bakar, A.R., Ouyang, H., Complex eigenvalue analysis and dynamic transient analysis in predicting disc brake squeal, Int. J. Vehicle Noise and Vibrations 2 (2006) 143–156 CrossRef
F. Massi, L. Baillet, O. Giannini, A. Sestieri, Brake squeal: linear and nonlinear numerical approaches, accepted in Mechanical Systems and Signal Processing (2007)
Carpenter, N.J., Taylor, R.L., Kantona, M.G., Lagrange contrainsts for transient finite element surface contact, Int. J. Numerical Methods Engineering 32 (1991) 103–128 CrossRef
Cochard, A., Rice, J.R., Fault rupture between dissimilar material: Illposedess, regularization and slip-pulse response, J. Geophysical Res. 105 (2000) 891–907 CrossRef
V. Prakash, R. J. Clifton, Time resolved dynamic friction measurements in pressure-shear, Experimental Techniques in the dynamics of deformable Solids, (AMD- Vol. 165), ASME, New-York, 1993, pp. 33–48
A. Meziane, L. Baillet, B. Laulagnet, Instabilités de frottement : approches temporelle et fréquentielle, Proceedings of Colloque de Vibrations, Chocs et Bruit, Lyon, France, 2006
Meziane, A., D'Ericco, S., Baillet, L., Laulagnet, B., Instabilities generated by friction in a pad-disc system during the braking process, Tribology Int. 40 (2007) 1127–1136 CrossRef
Nguyen, Q.S., Instability and friction, Compte rendus de Mécanique 331 (2003) 99–112 CrossRef
D. Guan, J. Huang, Study on brake squeal by feed-in energy analysis, SAE (2001) 69–72