Singular perturbation of a non-monotonous dry friction problem;Perturbation singulière d'un problème de frottement sec non monotone

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 326, Issue 1, 1998, Pages 131-136

  Renard, Yves ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031617084     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(97)82726-7     Document Type: Article

References (10)

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3. [3] K. Deimling. Multivalued differential equations, Walter de Gruyter, Berlin, 1992.
4. [4] C. Gao, D. Kuhlmann-Witsdorf. On stick-slip and velocity dependence of friction at low speeds, ASME J. Tribology, 11 (1990), 355-360.
5. [5] I.R. Ionescu, J.-C. Paumier. On the contact problem with slip rate dependent friction in elastodynamic, Eur. J. Mech., A/Solids, 4 (1994), 555-568.
6. [6] A.I. Leonov, A. Srinivasan. Self-Oscillations of an Elastic Plate Sliding over a Smooth Surface, Int. J. Engng. Sci., 31 (1993), 453-473.
7. [7] Li Chun Bo, D. Pavelescu. The friction-speed relation and its influence on the critical velocity of stick-slip motion, Wear, 82 (1982), 277-289.
8. [8] E. Rabinowicz. The intrinsic variables affecting the stick-slip process, Proc. Roy. Phys. Soc., 71 (1958), 668-675.
9. [9] Y. Renard, Singular perturbation approach of an elastic dry friction problem with a non-monotonous friction coefficient, submitted.
10. [10] A.N. Tikhonov, A.B. Vasiléva, A.G. Sveshnikov. Differential Equations, Chapter VII, Asymptotics of solutions of differential equations with respect to a small parameter, 181-213, Springer Verlag, 1980.