Research Article Open Access

Plasma Beams Free Vibration Ivestigation using the Boubaker Polynomials Expansion Scheme

K. Boubaker1
  • 1 ,
Physics International
Volume 2 No. 2, 2011, 36-39

DOI: https://doi.org/10.3844/pisp.2011.36.39

Published On: 25 January 2012

How to Cite: Boubaker, K. (2011). Plasma Beams Free Vibration Ivestigation using the Boubaker Polynomials Expansion Scheme. Physics International, 2(2), 36-39. https://doi.org/10.3844/pisp.2011.36.39

Abstract

Problem statement: In the present study, plasma beams free vibration frequencies alteration has been investigated through an original protocol. Approach: The Boubaker Polynomials Expansion scheme BPES has been performed for deducing and ranging the dimensionless frequencies of the beam vibrations. Results: Natural frequencies of the plasma beam have been estimated for given parameters values. Conclusion: Yielded results have been compared and discussed. It was found that a good agreement as the values determined with experimental results determined by previous researchers.

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Keywords

  • Plasma beams
  • free vibration
  • natural frequency
  • mechanical vibrations
  • Metastability Exchange Optical Pumping (MEOP)
  • avalanche ionization
  • generally laminated plasma