Friction pair modeling by a 2-DOF system: Numerical and experimental investigations

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 15, Issue 6, 2005, Pages 1931-1944

  Awrejcewicz, Jan ^a   Olejnik, Pawel ^a  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Bifurcation diagrams; Experimental friction; Force model; Laboratory rig; Lyapunov exponents; Numerical investigations; Stick slip motion

Indexed keywords

EID: 23944457348     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021812740501306X     Document Type: Article

References (32)

1. Altpeter, F., Ghorbel, F. & Longchamp, R. [1998] "Relationship between two friction models: A singular perturbation approach," Proc. 37th IEEE Conf. Decision and Control, pp. 1572-1574.
2. Andreaus, U. & Casini, P. [2001] "Dynamics of friction oscillators excited by a moving base and/or driving force," J. Sound Vibr. 245, 685-699.
3. Antunes, J., Axisa, F., Beaufils, B. & Guilbaud, B. [1988] "Coulomb friction modeling in numerical simulations of vibrations and wear work rate of tube bundles," J. Fluids Struct. 4, 287-304.
4. Armstrong-Hélouvry, B. [1992] "A perturbation analysis of stick-slip," Trans. ASME Friction-Induced Vibr. Chat. Squ. Chaos 49, 41-48.
5. Awrejcewicz, J. & Delfs, J. [1990a] "Dynamics of a self-excited stick-slip oscillator with two degrees of freedom, Part I, Investigation of equilibria," European J. Mech. A/Sol. 9, 269-282.
6. Awrejcewicz, J. & Delfs, J. [1990b] "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," European J. Mech. A/Sol. 9, 397-418.
7. Awrejcewicz, J. [1996] Deterministic Oscillations of Lumped Systems (WNT, Warsaw, in Polish).
8. Awrejcewicz, J. & Holicke, M. M. [1999] "Melnikov's method and stick-slip chaotic oscillations in very weakly forced mechanical systems," Int. J. Bifurcation and Chaos 9, 505-518.
9. Awrejcewicz, J. & Olejnik, P. [2002] "Calculating Lyapunov exponents from an interpolated time series," XX Sym. Vib. Phys. Systems Poznań-Blażejewko, pp. 94-95.
10. Awrejcewicz, J. & Olejnik, P. [2003] "Improvement of the Lyapunov exponents computations by time series extension," Proc. 11th World Gong. Mechanism and Machine Science, to appear.
11. Bliman, P.-A. & Sorine, M. [1995] "Easy-to-use realistic dry friction models for automatic control," Proc. 3rd Euro. Control Conf., pp. 3788-3794.
12. Bogacz, R. & Ryczek, B. [1997] "Dry friction self-excited vibrations analysis and experiment," Eng. Trans. 45, 487-504.
13. Bowden, F. P. & Tabor, D. [1954] Friction and Lubrication (Oxford University Press).
14. Brandl, M. & Pfeiffer, F. [1999] "Tribometer for dry friction measurement," Proc. ASME Des. Eng. Tech. Conf., DETC99/VIB-8353.
15. Brogliato, B. [1996] Nonsmooth Impact Mechanics (Springer-Verlag, London).
16. Canudas de Vit, C., Olsson, H., Åström, K. J. & Lischinsky, P. [1995] "A new model for control of systems with friction," Proc. 34th IEEE Trans. Autom. Contr. 40, 419-425.
17. Dahl, P. R. [1976] "Solid friction damping of mechanical vibrations," J. AIAA 14, 1675-1682.
18. Feeny, B., Guran, A., Hinrichs, N. & Popp, K. [1998] "A historical review on dry friction and stick-slip phenomena," Appl. Meal. Rev. 51, 321-341.
19. Friedland, B. & Park, Y.-J. [1991] "On adaptive friction compensation," Proc. 30th IEEE Conf. Decision and Control, pp. 2899-2902.
20. Galvanetto, U., Bishop, S. R. & Briseghella, L. [1995] "Mechanical stick-slip vibrations," Int. J. Bifurcation and Chaos 5, 637-651.
21. Hénon, M. [1982] "On the numerical computation of Poincaré maps," Physica D5, 412-413.
22. Ibrahim, R. A. [1992] "Mechanics of friction," Trans. ASME Friction-Induced Vibr. Chat. Squ. Chaos 49, 107-122.
23. Karnop, D. [1985] "Computer simulation of stick-slip friction in mechanical dynamic systems," Trans. ASME J. Dyn. Syst. Contr. 107, 100-103.
24. Kunze, M. [2000] Non-Smooth Dynamical System, Lecture Notes in Mathematics, Vol. 1744 (Springer-Verlag, Berlin).
25. Makris, N. & Constantinou, M. C. [1991] "Analysis of motion resisted by friction. Part I: Constant Coulomb and linear/Coulomb friction," Mech. Struct. Mach. 19, 477-500.
26. Monteiro Marques, M. D. P. [1994] "An existence, uniqueness and regularity study of the dynamics of systems with one-dimensional friction, " European J. Mech. A/Sol. 13, 277-306.
27. Oden, J. T. & Martins, J. A. C. [1985] "Models and computation methods for dynamic friction phenomena," Comp. Meth. Appl. Mech. Eng. 52, 527-634.
28. Popp, K., Hinrichs, N. & Oestreich, M. [1996] "Analysis of a self-excited friction oscillator with external excitation," in Dynamics with Friction, eds. Guran, A., Pfeiffer, F. & Popp, K., pp. 1-35.
29. Singer, I. L. & Pollock, H. M. [1992] Fundamentals of Friction: Macroscopic and Microscopic Processes (Kluwer Academic Publishers, Dordrecht).
30. Tan, X. & Rogers, R. J. [1996] "Dynamic friction modeling in heat exchanger tube simulations," Trans. ASME Friction-Induced Vibr. Chat. Squ. Chaos 328, 347-358.
31. Van Wyk, M. A. & Steeb, W.-H. [1997] Chaos in Electronics (Kluwer Academic Publishing).
32. Wolf, A., Swift, J. B., Swinney, H. L. & Vastano, J. A. [1985] "Determining Lyapunov exponents from a time series," Physica D16, 285-317.