Title of article
Determination of the amplitude-frequency for strongly nonlinear oscillator by two approximate analytical techniques
Author/Authors
Ayazi, Amir Islamic Azad University, Shahr-e Qods Branch - Department of Civil Engineering, ايران , Ebrahimi Khah, Hadi Friedrich-Schiller-Universität - Fakultät für Mathematik undInformatic, Germany
From page
1
To page
7
Abstract
In this paper, we investigate two of the analytical approximate techniques, energy balance method and amplitude-frequency formulation, and these approximate techniques are applied to solve the strongly nonlinear differential equation of a mass attached to the center of a stretched elastic wire. We present a comparative study between the energy balance method and amplitude-frequency formulation with exact solution. The approximate results reveal that these methods are very effective and convenient for determining the frequencies of nonlinear dynamical systems.
Keywords
Nonlinear oscillator , Nonlinear differential equation , Energy balance method , Amplitude , frequency formulation , Exact solution
Journal title
Journal of Theoretical and Applied Physics
Journal title
Journal of Theoretical and Applied Physics
Record number
2578411
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