Experiments in control and anti-control of chaos in a dry friction oscillator

JVC/Journal of Vibration and Control

Volumn 9, Issue 3-4, 2003, Pages 387-397

  Moon, Francis C ^a   Reddy, Anil J ^b   Holmes, William T ^c  

^a Department of Obstetrics Gynecology   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c Department of Computer Science and School of Operations Research and Information Engineering   (United States)

Author keywords

Anti control; Chaos experiments; Control; Friction

Indexed keywords

ACOUSTIC NOISE; ACTUATORS; CHAOS THEORY; FEEDBACK CONTROL; FRICTION; MAGNETIC DEVICES; OSCILLATIONS; SYSTEM STABILITY;

ANTI-CONTROL; DRY FRICTION OSCILLATOR; MAGNETIC ACTUATOR;

OSCILLATORS (MECHANICAL);

EID: 0037334399     PISSN: 10775463     EISSN: None     Source Type: Journal    
DOI: 10.1177/107754603030777     Document Type: Article

References (12)

1. Christini, D.J. and Collins, J.J., 1995, "Controlling nonchaotic neuronal noise using chaos control techniques," Physics Review Letters 75(14), 2782-2785.
2. Conway, H.G., 1958, "Some notes on the origins of mechanical servo mechanisms," Transactions of the Newcommen Society XXIX, 55-75.
3. Feeny, B., 1990, Chaos and Friction, PhD Dissertation, Cornell University, Ithaca, New York.
4. Feeny, B. and Moon, F.C., 1994, "Chaos in a forced dry friction oscillator: Experiments and numerical modeling," Journal of Sound and Vibration 170(3), 303-323.
5. Guran, A., Pfeiffer, F., and Popp, K., eds., 1996, Dynamics with Friction, Part II, World Scientific, Singapore.
6. Hunt, E.R., 1991, "Stabilizing high periodic orbits in a chaotic system: The diode resonator," Physics Review Letters 67(15), 1953-1955.
7. Ibrahim, R.A., 1994, "Friction induced vibration, chatter, squeal, and chaos, parts I, II," Applied Mechanics Reviews 47(7), 209-253.
8. In, V., Mahan, S. Ditto, W. L., and Spano, M. L., 1995, "Experimental maintenance of chaos," Physical Review Letters 74(22), 29.
9. Johnson, M.A. and Moon, F.C., 2001, "Nonlinear techniques to characterize prechatter and chatter vibrations in the machining of metals," International Journal of Bifurcation and Chaos 11(2), 449-467.
10. Moon, F.C., 1992, Chaotic and Fractal Dynamics, Wiley, New York.
11. Moon, F.C., Johnson, M.A., and Holmes, W.T., 1996, "Controlling chaos in a two-well oscillator," International Journal of Bifurcation and Chaos 6(2), 337-347.
12. Ott, E., Grebogi, C., and Yorke, J.A., 1990, "Controlling chaos," Physics Review Letters 64(11), 1196-1199.