%0 Journal Article
%T Solution of strongly nonlinear oscillator problem arising in Plasma Physics with Newton Harmonic Balance Method
%J Journal of Applied and Computational Mechanics
%I Shahid Chamran University of Ahvaz
%Z 2383-4536
%A Mashinchi Joubari, Mohammad Mehdi
%A Pashaei, Mohammad Hadi
%A Javaniyan Jouybari, Hamid
%D 2014
%\ 10/01/2014
%V 1
%N 2
%P 59-66
%! Solution of strongly nonlinear oscillator problem arising in Plasma Physics with Newton Harmonic Balance Method
%K Electron beam
%K Frequencyâ€“Amplitude Relation
%K Plasma Physics
%K Newton Harmonic Balance Method
%R 10.22055/jacm.2014.10756
%X In this paper, Newton Harmonic Balance Method (NHBM) is applied to obtain the analytical solution for an electron beam injected into a plasma tube where the magnetic field is cylindrical and increases towards the axis in inverse proportion to the radius. Periodic solution is analytically verified and consequently the relation between the Natural Frequency and the amplitude is obtained in an analytical form. A comparison of the period of the oscillation and obtained solution with the exact result illustrates that the NHBM is a powerful and efficient tool for solving nonlinear vibration equations.
%U https://jacm.scu.ac.ir/article_10756_6f8b8c1cfe3c9151b95c25e04eb9ac5c.pdf