TY - JOUR
ID - 10756
TI - Solution of strongly nonlinear oscillator problem arising in Plasma Physics with Newton Harmonic Balance Method
JO - Journal of Applied and Computational Mechanics
JA - JACM
LA - en
SN -
AU - Mashinchi Joubari, Mohammad Mehdi
AU - Pashaei, Mohammad Hadi
AU - Javaniyan Jouybari, Hamid
AD - Dept. of Mechanical Engineering, Babol University of Technology, Babol, Iran
AD - Assistant Professor, Department of Mechanical Engineering, Babol University of Technology, , Babol, Iran
AD - Department of Mechanical Engineering, Babol University of Technology, Semnan, Iran
Y1 - 2014
PY - 2014
VL - 1
IS - 2
SP - 59
EP - 66
KW - Electron beam
KW - Frequencyâ€“Amplitude Relation
KW - Plasma Physics
KW - Newton Harmonic Balance Method
DO - 10.22055/jacm.2014.10756
N2 - 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.
UR - https://jacm.scu.ac.ir/article_10756.html
L1 - https://jacm.scu.ac.ir/article_10756_6f8b8c1cfe3c9151b95c25e04eb9ac5c.pdf
ER -