Plasma Beams Free Vibration Ivestigation using the Boubaker Polynomials Expansion Scheme

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.