Solution of strongly nonlinear oscillator problem arising in Plasma Physics with Newton Harmonic Balance Method
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JACM-1-2_002
تاریخ نمایه سازی: 9 خرداد 1396
Abstract:
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 theNatural 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.
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Authors
MohammadMehdi Mashinchi Joubari
Department of Mechanical Engineering, Babol University of Technology Shariati Street, Babol, 47148-71167, Iran
Hamid Javanian Jouybari
Department of Mechanical Engineering, Semnan University University square, Semnan, Postal Code, Iran
Mohammad Hadi Pashaei
Department of Mechanical Engineering, Babol University of Technology Shariati Street, Babol, 47148-71167, Iran