Determination of the amplitude-frequency for strongly nonlinear oscillator by two approximate analytical techniques
محورهای موضوعی : Journal of Theoretical and Applied PhysicsAmir Ayazi 1 , Hadi Ebrahimi Khah 2
1 - Department of Civil Engineering, Islamic Azad University, Shahr-e Qods Branch
2 - Fakultätfür Mathematik und Informatic, Friedrich-Schiller-Universität
کلید واژه: Nonlinear oscillator, Nonlinear differential equatio, Energy balance method, Amplitude, frequency formulation, Exact solution,
چکیده مقاله :
AbstractIn 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.
