Analytical Approximate Solutions to a Nonlinear Singular Oscillator

PDF(243 KB)

Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (6) : 104-106.

论文

Analytical Approximate Solutions to a Nonlinear Singular Oscillator

Sun Wei-peng, Wu Bai-sheng

Author information +

History +

Abstract

A modified Newton-harmonic balance method is used to construct analytical approximate periods and periodic solutions to the singular oscillator describing certain phenomena in plasma physics. The Newton-harmonic balance method is modified by rewriting the original control equation and selecting the simple and suitable correction terms. Two new analytical approximate solutions obtained in this paper are effective for the whole range of initial oscillation amplitudes and parameters, and they can rapidly converge to exact solution. The percentage errors between two new analytical approximate periods and the exact one are lower than 0.92% and 0.09%, respectively, and the latter is more accurate than the existing results.

Key words

Nonlinear singular oscillator / Analytical approximate solutions / Newton-harmonic balance method.

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

Sun Wei-peng; Wu Bai-sheng. Analytical Approximate Solutions to a Nonlinear Singular Oscillator[J]. Journal of Vibration and Shock, 2009, 28(6): 104-106