Determination of the amplitude-frequency for strongly nonlinear oscillator by two approximate analytical techniques
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نویسنده
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Ayazi Amir ,Ebrahimi Khah Hadi
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منبع
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journal of theoretical and applied physics - 2013 - دوره : 7 - شماره : 4 - صفحه:1 -7
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چکیده
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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.
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کلیدواژه
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Nonlinear oscillator; Nonlinear differential equation; Energy balance method; Amplitude-frequency formulation; Exact solution
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آدرس
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Islamic Azad University, Shahr-e Qods Branch, Department of Civil Engineering, ایران, Friedrich-Schiller-Universität, Fakultät für Mathematik undInformatic, Germany
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