International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

Vibration reduction and stability study of a dynamical system under multi-excitation forces via active absorber

E. E. El Behady* and E. R. El-Zahar
Department of Mathematics, Faculty of Science and Humanity Studies, Salman Bin AbdulAziz University, P. O. Box 83, Alkharj 11942, Kingdom of Saudi Arabia.
Email: [email protected], [email protected]

  •  Accepted: 03 October 2012
  •  Published: 01 October 2013


An active vibration absorber for suppressing the vibration of the nonlinear system when subjected to external and parametric excitations forces will be studied. The aim of this paper is to study the effect of the nonlinear controller on the vibrating system. The approximate solutions up to the second order are derived using the method of multiple scale perturbation technique near the primary, principal parametric and internal resonance case. The stability of the solution is investigated using both phase plane methods and frequency response equations. The effects of different parameters on the vibration of the system are investigated. The reported results are compared to the available published work.


Key words: Active control method, perturbation method, stability, resonance.