Ill-posed mechanical problem with friction

European Journal of Mechanics, A/Solids

Volumn 18, Issue 3, 1999, Pages 415-420

  Schatzman, Michelle ^a   Lamarque, Claude Henri ^b   Bastien, Jérôme ^b  

^a UNIVERSITÉ LYON 1   (France)

^b UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

GRAPH THEORY; LOADS (FORCES); MATHEMATICAL MODELS; NONLINEAR EQUATIONS; VELOCITY;

COULOMB LAW; FRICTION COEFFICIENT; ILL-POSED MECHANICAL PROBLEM; MAXIMAL MONOTONE GRAPH;

FRICTION;

EID: 0032598336     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0997-7538(99)00134-5     Document Type: Article

References (15)

1. Awrejcewicz J., Delfs J., 1990. Dynamics of a self-excited stick-slip oscillator with two degrees of freedom. Part I: Investigation of equilibria. Eur. J. Mech. A/Solids 9 (4), 269-282.
2. Baumberger T., Caroli C., Perrin B., Ronsin O., 1990. Dynamics of a self-excited stick-slip oscillator with two degrees of freedom. Part II: Slip-stick, slip-slip, stick-slip transitions, periodic and chaotic orbits. Eur. J. Mech. A/Solids 9 (5), 397-418.
3. Brezis H., 1973. Opérateurs maximaux monotones et semi-groupes de contraction dans les espaces de Hubert. Mathematics Studies 5, North-Holland, Amsterdam.
4. Brogliato B., 1996. Nonsmooth impact dynamics. Lectures Notes in Control and Information Sciences 220, Springer, NY, Berlin.
5. Capecchi D., Vestroni F., 1995. Asymptotic response of a two DOF elastoplastic system under harmonic excitation. Internal resonance case. Nonlinear Dyn. 7, 317-333.
6. Caubet J.J., 1964. Théorie et pratique du frottement. Dunod Technip, Paris.
7. Dowell E.H., Schwartz H.B., 1983. Forced response of a cantilever beam with a dry friction damper attached, part I: Theory. J. Sound Vib. 91 (2), 255-267.
8. Foale S., Bishop S.R., 1994. Bifurcations in impact oscillations. Nonlinear Dyn. 6, 285-299.
9. Den Hartog, 1956. Mechanical Vibrations. McGraw-Hill, New York.
10. Kunert A., Pfeiffer F., 1989. Stochastic model for tatling in gear-boxes. In: IUTAM Symp. Nonlinear Dynamics in Engineering Systems, Univ. Stuttgart, Germany, Aug. 21-25.
11. Jean M., Pratt E., 1985. A system of rigid bodies with dry friction. Int. J. Ing. Sci. 23, 497-513.
12. Monteiro Marques M.D.P., 1994. An existence, uniqueness and regularity study of the dynamics of systems with one-dimensional friction. Eur. J. Mech. A/Solids 13 (2), 277-306.
13. Popp K., Stelter P., 1989. Non-linear oscillations of structures induced by dry friction. In: IUTAM Symp. Nonlinear Dynamics in Engineering Systems, Univ. Stuttgart, Germany, Aug. 21-25.
14. Rabinowicz E., 1996. Friction and Wear of Materials. Wiley and Sons, New York.
15. Whiston G.S., 1987. Global dynamics of a vibro-impacting linear oscillator. J. Sound Vib. 118 (3), 395-429.