학술논문

Highly accurate analytical solution for free vibrations of strongly nonlinear Duffing oscillator.
Document Type
Article
Source
Journal of Low Frequency Noise, Vibration & Active Control. Mar2022, Vol. 41 Issue 1, p223-229. 7p.
Subject
*DUFFING equations
*NONLINEAR oscillators
*FREE vibration
*NONLINEAR differential equations
Language
ISSN
1461-3484
Abstract
Based on the suggested parameter, a new analytical perturbation technique is presented to obtain highly ordered accurate analytical solutions for nonlinear Duffing oscillator with nonlinearity of high order. Comparing the obtained results with the numerical and other previously published results reveals the usefulness and correctness of the present technique. It is shown that the results are valid for small and large amplitudes. Indeed, it is found that our proposed technique produces more accurate and computationally results than the rival known methods. The obtained results show the efficiency and capability of the present perturbation technique to be applied to various strongly nonlinear differential equations. [ABSTRACT FROM AUTHOR]