Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2768

Full Length Research Paper

The time delayed feedback control to suppress the vibration of the autoparametric dynamical system

Yasser A. Amer
  • Yasser A. Amer
  • Mathematics Department, Faculty of Science, Zagazig University, Egypt.
  • Google Scholar
Samira M. Soleman
  • Samira M. Soleman
  • Mathematics Department, Faculty of Science, EL-Zawya University, Libya.
  • Google Scholar


  •  Received: 13 March 2015
  •  Accepted: 15 July 2015
  •  Published: 15 August 2015

References

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El-Bassiouny AF (2006). Vibration and chaos control of nonlinear torsion al vibrating systems. Physica A. 366:167-186.
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Sayed M, Kamel M (2011). Stability study and control of helicopter blade flapping vibrations, Appl. Math. Model. 35:2820-2837.
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Sayed M, Kamel M (2012). 1:2 and 1:3 internal resonance active absorber for nonlinear vibrating system. Appl. Math. Model. 36:310-332.
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Sherif EL, Sayed M (2014). Studied the vibration reduction, stability and resonance of a dynamical system excited by external and parametric excitations via time-delay absorber. Int. J. Sci. Eng. Res. 10:1421-1425.
 
Song Y, Sato H, Iwata Y, Komatsuzaki T (2003). The response of a dynamic vibration absorber system with a parametrically excited pendulum. J. Sound Vib. 259:(4)747-759.
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Wu Y, Xu X (2013). Renormalization group methods for a Mathieu equation with delayed feedback. Theor. Appl. Mech. Lett. 3:63007-63009.
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Yongjun S, Mehdi A (2013). Nonlinear dynamical analysis on four semi-active dynamic vibration absorbers with time delay. Shock Vib. 20:649-663.
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Zhao YY, Xu J (2012). Using the delayed feedback control and saturation control to suppress the vibration of the dynamical system. Nonlinear Dyn. 67:735-753.
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