Open Access
MATEC Web of Conferences
Volume 1, 2012
CSNDD 2012 – International Conference on Structural Nonlinear Dynamics and Diagnosis
Article Number 02002
Number of page(s) 4
Section Time-Delayed Feedback Control: Theory and Application
Published online 09 July 2012
  1. R. Nayak, Contact vibrations, J. Sound Vib, 22, (1972) 297–322. [CrossRef]
  2. D. Hess, A. Soom, Normal vibrations and friction under harmonic loads: Part 1-Hertzian contact. ASME Journal of Tribology, 113, (1991)80–86. [CrossRef]
  3. J. Sabot, P. Krempf, C. Janolin, Nonlinear vibrations of a sphere-plane contact excited by a normal load. J Sound Vib 214, (1998)359–375. [CrossRef]
  4. R. Carson, K. Johnson, Surface corrugations spontaneously generated in a rolling contact disc machine., 17 Wear (1971) 59–72.
  5. A. Soom, JW. Chen, Simulation of random surface roughness-induced contact vibrations at Hertzian contacts during steady sliding. ASME Journal of Tribology, 108, (1986) 123–127. [CrossRef]
  6. E. Rigaud, P. Perret-Liaudet, Experiments and numerical results on nonlinear vibrations of an impacting hertzian contact. part 1: harmonic excitation. J Sound Vib, 265, (2003)289–307. [CrossRef]
  7. J. Perret-Liaudet, E. Rigaud, Response of an impacting Hertzian contact to an order-2 subharmonic excitation : Theory and experiments, J Sound Vib, 296, (2003) 319–333. [CrossRef]
  8. J. Perret-Liaudet, E. Rigaud, Superharmonic resonance of order 2 for an impacting Hertzian contact oscillator: Theory and experiments., J Comput Nonlinear Dyn, 2, (2007) 190–196. [CrossRef]
  9. A. Bichri, M. Belhaq, J. Perret-Liaudet, Control of vibroimpact dynamic of a single-sided-Hertzian contact forced oscillator. Nonlinear Dyn, 63, (2011) 51–60. [CrossRef]
  10. A. Bichri, M. Belhaq, Control of a forced impacting Hertzian contact oscillator near sub- and superharmonics of order 2. J Comput Nonlinear Dyn, Issue date: Jan (2012);7(1). [CrossRef]
  11. H. Hu, EH. Dowell, L. Virgin, Resonances of a harmonically forced during oscillator with time delay state feedback. Nonlinear Dyn, 15, (1998) 311–327. [CrossRef]
  12. Ji. JC, AYT.Leung, Resonances of a nonlinear SDOF system with two time-delays in linear feed-back control. Nonlinear Dyn, (2002) 253, 985.
  13. Y. Jin, H. Hu, Primary resonance of a during oscillator with two distinct time delays in state feedback under narrow-Bband random excitation. In: Proceedings of the ASME (2007), International Design and Engineering Technical Conference And Computers and Information in Engineering Conference. Las Vegas; NV (2007).
  14. MF.Daqaq, GW. Vogl, Frequency island in the primary resonance of nonlinear delay systems. ENOC (2008), Saint Petersburg, Russia; June, 30-July, 4 (2008).
  15. FM. Atay, Van der Pol’s oscillator under delayed feedback. J Sound Vib, 218, (1998) 333–339. [CrossRef]
  16. A. Maccari, Vibration control for the primary resonance of the van der Pol oscillator by a time delay state feedback., Int J Non-Linear Mech, 38, (2003)123–131. [CrossRef]
  17. A. Maccari, Delayed feedback control for a parametrically excited van der Pol oscillator., Physica Scripta, 76, (2007) 526–532. [CrossRef]
  18. AF. EI-Bassiouny, Stability and oscillation of two coupled During equations with time delay state feedback., Physica Scripta, 74, (2006) 726–35. [CrossRef]
  19. SM. Sah, M. Belhaq, Effect of vertical high-frequency parametric excitation on self-excited motion in a delayed van der Pol oscillator. Chaos, Solitons & Fractals, 37, (2008) 1489–1496.
  20. M. Belhaq, SM. Sah Fast parametrically excited van der Pol oscillator with time delay state feed-back., Int J Non-linear Mech, 34, (2008) 124–130. [CrossRef]
  21. M. Belhaq, SM. Sah, Horizontal fast excitation in delayed van der Pol oscillator., Commun Nonlinear Sci Numer Simul, 13, (2008)1706–1713. [CrossRef]
  22. MK. Suchorsky, MS. Sah, RH. Rand, Using delay to quench undesirable vibrations, Nonlinear Dyn, 62, (2010) 407–416. [CrossRef]
  23. KL. Johnson, Contact Mechanics. Cambridge University Press: Cambridge; (1979).
  24. AH. Nayfeh, DT. Mook, Nonlinear Oscillations. Wiley, New York; (1979).