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Research & Development in Material Science

Nonlinear Dynamical Structures on Coupled Duffing-Van der Pol Oscillators with Two Degrees of Freedom by New Approach AGM

  • Open or Close Mohammadreza Akbari1*, Sara Akbari2 and DD Ganji3

    1Department of Civil Engineering and Chemical Engineering, University of Tehran, Iran

    2 Department of Chemical Engineering, Islamic Azad University, Iran

    3 Department of Mechanical Engineering, Babol University, Iran

    *Corresponding author: Mohammadreza Akbari, Department of Civil Engineering and Chemical Engineering, University of Tehran, Tehran, Iran

Submission: March 16, 2018;Published: August 20, 2018

DOI: 10.31031/RDMS.2018.07.000670

ISSN : 2576-8840
Volume7 Issue4


As all researchers know most of engineering system behavior in practical are nonlinear process and analytical solving (no numeric) these problems are difficult or sometime impossible. First of all, we introduce one great method in this article which we named it Akbari, Ganji, Method AGM “AGM” that could be helpful in engineering fields and basic science (special dynamical structures) that will be a phenomena in the engineering science and we going to present in this paper for the world researcher as well as our main purpose are information exchange in scientific findings to Engineering Society and so my opinion are cooperate and its share in the paper authors. To prove the accuracy of the method AGM, We investigate a sample of the couple nonlinear differential equations in the vibration (couple non-linear differential equations on Coupled Duffing-Van der Pol oscillators) which are presented in this paper.

Keywords: New approach AGM; Couple nonlinear vibrational system; Duffing-Van der Pol; Analytical solving

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