Time-delayed feedback control of friction-induced instability

International Journal of Non-Linear Mechanics

Volumn 42, Issue 9, 2007, Pages 1127-1143

  Chatterjee, S ^a  

^a INDIAN INSTITUTE OF ENGINEERING SCIENCE AND TECHNOLOGY   (India)

Author keywords

Friction; Instability; Time delay

Indexed keywords

COMPUTER SIMULATION; FRICTION; GLOBAL OPTIMIZATION; PARAMETER ESTIMATION; STABILITY CRITERIA; TIME DELAY;

FRICTION FORCE; FRICTION-INDUCED INSTABILITIES; STRIBECK INSTABILITY;

FEEDBACK CONTROL;

EID: 35649022249     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2007.08.002     Document Type: Article

References (23)

1. Ibrahim R.A. Friction-induced vibration, chatter, squeal, and chaos Part II: dynamics and modeling. Trans. ASME, Appl. Mech. Rev. 47 7 (1994) 227-253
2. Berger E.J. Friction modeling for dynamic system simulation. Trans. ASME, Appl. Mech. Rev. 55 6 (2002) 535-577
3. Heckl M.A., and Abrahams D. Active control of friction driven oscillations. J. Sound Vib. 193 1 (1996) 417-426
4. Popp K., and Rudolph M. Vibration control to avoid stick-slip motion. J. Vib. Control 10 (2004) 1585-1600
5. Thomsen J.J. Using fast vibrations to quench friction-induced oscillations. J. Sound Vib. 228 5 (1999) 1079-1102
6. Chatterjee S., Singha T.K., and Karmakar S.K. Effect of high-frequency excitation on a class of mechanical systems with dynamic friction. J. Sound Vib. 269 (2004) 61-89
7. Chatterjee S. Non-linear control of friction-induced self-excited vibration. Int. J. Nonlinear Mech. 42 3 (2007) 459-469
8. Maccari A. Vibration control for the primary resonance of a cantilever beam by a time delay state feedback. J. Sound Vib. 259 2 (2003) 241-251
9. Sipahi R., and Olgac N. Active vibration suppression with time delayed feedback. J. Vib. Acoust. Trans. ASME 125 (2003) 384-388
10. Ji J.C., and Leung A.Y.T. Resonances of a non-linear s.d.o.f. system with two time-delay in linear feedback control. J. Sound Vib. 253 5 (2002) 985-1000
11. Atay F.M. Van der Pol's oscillator under delayed feedback. J. Sound Vib. 218 2 (1998) 333-339
12. Atay F.M. Delayed feedback control of oscillations in nonlinear planar systems. Int. J. Control 75 (2002) 297-304
13. Maccari A. Vibration control of parametrically excited Lienard system. International J. Nonlinear Mech. 41 (2006) 146-155
14. Maccari A. Vibration control for the primary resonance of the van der Pol oscillator by a time delay state feedback. Int. J. Nonlinear Mech. 38 (2003) 123-131
15. Li X., Ji J.C., Hansen C.H., and Tan C. Response of a Duffing-Van der Pol oscillator under delayed feedback control. J. Sound Vib. 291 (2006) 644-655
16. Elmer F.-J. Controlling friction. Phys. Rev. E 57 (1998) 4903-4906
17. Pyragas K. Phys. Lett. A 170 (1992) 421-424
18. Das J., and Mallik A.K. Control of friction driven oscillation by time-delayed state feedback. J. Sound Vib. 297 3-5 (2006) 578-594
19. R. Horvath, Experimental investigation of excited and self-excited vibration, Master's Thesis, University of Technology and Economics, Budapest, 2000, 〈http://www.auburn.edu/∼horvaro/index2.htm〉.
20. Hinrichs N., Oestreich M., and Popp K. On the modeling of friction oscillators. J. Sound Vib. 216 3 (1998) 435-459
21. Hetzler H., Schwarzer D., and Seemann W. Analytical investigation of steady-state stability and Hopf-bifurcations occurring in sliding friction oscillators with application to low-frequency disc brake noise. Commun. Nonlinear Sci. Numer. Simulation 12 1 (2007) 83-99
22. Hoffmann N., Fischer M., Allgaier R., and Gaul L. A minimal model for studying properties of the mode-coupling type instability in friction induced oscillations. Mech. Res. Commun. 29 (2002) 197-205
23. Chatterjee S. On the mode-coupling instability of mechanical systems due to sliding friction constraint. Int. J. Acoust. Vib. 11 4 (2006) 177-186