[Ondes d'interface sous contact unilatéral et frottement de Coulomb]
Cet article est consacrée aux ondes d'interface induites par l'instabilité dynamique de glissement stationnaire à l'interface d'un tube élastique en contact frottant avec un cylindre rigide en rotation uniforme. Selon les valeurs de la pression de contact, de la vitesse de rotation et du coefficient de frottement, plusieurs réponses dynamiques périodiques peuvent être observées. Nous présentons des exemples d'ondes stick-slip, stick-slip-separation et stick-slip-separation-slip obtenues par des approches numériques et semi-analytiques. Quelques résultats concernant l'analyse de stabilité d'une telle onde sont aussi rapportés.
This article considers the frictional interface waves generated by the flutter instability of the sliding steady state for an elastic tube in frictional contact with a rigid and rotating shaft. According to the values of the contact pressure, the rotation velocity and the friction coefficient, several periodic dynamical responses can be found under the form of travelling surface waves. Such a periodic solution may be interesting in the study of a possible dynamic transition from the sliding steady state in the spirit of Andronov–Hopf bifurcation. Examples of stick-slip, stick-slip-separation and stick-slip-separation-reverse-slip waves propagating along the contact surface, obtained by various semi-analytical and numerical approaches, are reported here. Some results on the stability of these travelling waves are also indicated.
Mot clés : Frottement, Onde glissement-adhérence-décollement-glissement, Étude de stabilité
@article{CRMECA_2008__336_1-2_203_0,
author = {Quoc Son Nguyen and Abdelbacet Oueslati and Alois Steindl and Andreas Teufel and Hans Troger},
title = {Travelling interface waves in a brake-like system under unilateral contact and {Coulomb} friction},
journal = {Comptes Rendus. M\'ecanique},
pages = {203--209},
publisher = {Elsevier},
volume = {336},
number = {1-2},
year = {2008},
doi = {10.1016/j.crme.2007.11.011},
language = {en},
}
TY - JOUR AU - Quoc Son Nguyen AU - Abdelbacet Oueslati AU - Alois Steindl AU - Andreas Teufel AU - Hans Troger TI - Travelling interface waves in a brake-like system under unilateral contact and Coulomb friction JO - Comptes Rendus. Mécanique PY - 2008 SP - 203 EP - 209 VL - 336 IS - 1-2 PB - Elsevier DO - 10.1016/j.crme.2007.11.011 LA - en ID - CRMECA_2008__336_1-2_203_0 ER -
%0 Journal Article %A Quoc Son Nguyen %A Abdelbacet Oueslati %A Alois Steindl %A Andreas Teufel %A Hans Troger %T Travelling interface waves in a brake-like system under unilateral contact and Coulomb friction %J Comptes Rendus. Mécanique %D 2008 %P 203-209 %V 336 %N 1-2 %I Elsevier %R 10.1016/j.crme.2007.11.011 %G en %F CRMECA_2008__336_1-2_203_0
Quoc Son Nguyen; Abdelbacet Oueslati; Alois Steindl; Andreas Teufel; Hans Troger. Travelling interface waves in a brake-like system under unilateral contact and Coulomb friction. Comptes Rendus. Mécanique, Volume 336 (2008) no. 1-2, pp. 203-209. doi : 10.1016/j.crme.2007.11.011. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.11.011/
[1] On the elastic contact with friction, C. R. Acad. Sci. Paris, Volume 280 (1975) no. 13, p. 523
[2] The sliding interface crack with friction between elastic and rigid bodies, J. Mech. Phys. Solids, Volume 53 (2005), pp. 1397-1421
[3] Ill-posedness at the boundary for elastic solids sliding under Coulomb friction, J. Elasticity, Volume 27 (1991), pp. 281-287
[4] Self-excited oscillations of two elastic half-spaces sliding with a constant coefficient of friction, J. Appl. Mech., Volume 62 (1995), pp. 867-872
[5] Dynamic surface solutions in linear elasticity and viscoelasticity with frictional boundary conditions, J. Vib. Acoust., Volume 17 (1995), pp. 445-451
[6] Slip dynamics at an interface between dissimilar materials, J. Mech. Phys. Solids, Volume 49 (2001), pp. 341-361
[7] Friction and instability of steady sliding squeal of a glass/rubber contact, Int. J. Numer. Methods Engrg., Volume 45 (1990), pp. 301-314
[8] Bifurcation and stability analysis for a non-smooth friction oscillator, Arch. Appl. Mech., Volume 66 (1990), pp. 301-314
[9] Instabilities generated by friction in a pad-disc system during the braking process, Tribology Int., Volume 40 (2007), pp. 1127-1136
[10] Elastic interface waves and sliding between two solids, J. Appl. Mech., Volume 45 (1978), pp. 325-330
[11] An example of stick-slip and stick-slip-separation waves, Eur. J. Mech. A/Solids, Volume 22 (2002), pp. 107-118
[12] A. Oueslati, Ondes élastiques de surface et fissures d'interface sous contact unilatéral et frottement de Coulomb, PhD thesis, Ecole Polytechnique, 2004
[13] Lagrange constraints for transient finite element surface contact, Int. J. Numer. Methods Engrg., Volume 32 (1991), pp. 103-128
[14] H.J. Oberle, W. Grimm, E. Berger, BNDSCO, Rechenprogramm zur Lösung beschränkter optimaler Steuerungsprobleme. Benutzeranleitung M 8509, Techn. Univ. München, 1985
[15] On nonsmooth bifurcations in a simple friction oscillator, Proc. Appl. Math. Mech., Volume 5 (2005), pp. 139-140
[16] Bifurcations of stick-slip-separation waves in a brake-like system, Proc. Appl. Math. Mech., Volume 6 (2006), pp. 337-338
Cité par Sources :
Commentaires - Politique
Ondes adhérence–glissement–décollement sous contact unilatéral frottant
Abdelbacet Oueslati; Quoc-Son Nguyen; Laurent Baillet
C. R. Méca (2003)