DETERMINATION OF THE AMPLITUDE-FREQUENCY FOR STRONGLY NONLINEAR OSCILLATOR BY TWO APPROXIMATE ANALYTICAL TECHNIQUES

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AYAZI AMIR; EBRAHIMI KHAH HADI

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Journal Paper

Paper Information

Journal: JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL) Year:2013 | Volume:7 | Issue:- Page(s): 1-7

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Title

DETERMINATION OF THE AMPLITUDE-FREQUENCY FOR STRONGLY NONLINEAR OSCILLATOR BY TWO APPROXIMATE ANALYTICAL TECHNIQUES

Author(s)

AYAZI AMIR | EBRAHIMI KHAH HADI | Issue Writer Certificate

Keywords

NONLINEAR OSCILLATOR

NONLINEAR DIFFERENTIAL EQUATION

ENERGY BALANCE METHOD

AMPLITUDE-FREQUENCY FORMULATION

EXACT SOLUTION

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.

Cites

ANALYTICAL STUDY OF NONLINEAR OSCILLATORY SYSTEMS USING THE HAMILTONIAN APPROACH TECHNIQUE

References

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APA: Copy

AYAZI, AMIR, & EBRAHIMI KHAH, HADI. (2013). DETERMINATION OF THE AMPLITUDE-FREQUENCY FOR STRONGLY NONLINEAR OSCILLATOR BY TWO APPROXIMATE ANALYTICAL TECHNIQUES. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), 7(-), 1-7. SID. https://sid.ir/paper/318744/en

Vancouver: Copy

AYAZI AMIR, EBRAHIMI KHAH HADI. DETERMINATION OF THE AMPLITUDE-FREQUENCY FOR STRONGLY NONLINEAR OSCILLATOR BY TWO APPROXIMATE ANALYTICAL TECHNIQUES. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL)[Internet]. 2013;7(-):1-7. Available from: https://sid.ir/paper/318744/en

IEEE: Copy

AMIR AYAZI, and HADI EBRAHIMI KHAH, “DETERMINATION OF THE AMPLITUDE-FREQUENCY FOR STRONGLY NONLINEAR OSCILLATOR BY TWO APPROXIMATE ANALYTICAL TECHNIQUES,” JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), vol. 7, no. -, pp. 1–7, 2013, [Online]. Available: https://sid.ir/paper/318744/en

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