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Asian Research Journal of Mathematics, 2456-477X,Vol.: 9, Issue.: 1


Analyzing of Nonlinear Generalized Duffing Oscillators Using the Equivalent Linearization Method with a Weighted Averaging


D. V. Hieu1* and N. Q. Hai2

1Department of Mechanics, Thai Nguyen University of Technology, Vietnam.

2Department of Mathematics, Ha Noi Architectural University, Vietnam.

Article Information
(1) Wei-Shih Du, Professor, Department of Mathematics, National Kaohsiung Normal University, Taiwan.
(1) Anonymous, UAM-C, México.
(2) Akinola Emmanuel Idowu, Bowen University, Nigeria.
Complete Peer review History: http://www.sciencedomain.org/review-history/24154


The generalized Duffing oscillator is investigated in this paper by using the Equivalent Linearization method with a weighted averaging. Applying of the Equivalent Linearization method in which the averaging value is calculated in a new way called the weighted averaging value by introducing a weighted coefficient function, the amplitude-frequency relationship of the oscillator is obtained in a closed-form. The obtained solutions have been compared with approximate analytical solutions, exact solutions and numerical solutions. Comparisons show the reliability of the present solutions.

Keywords :

Equivalent linearization method; weighted averaging; generalized Duffing; nonlinear oscillator.

Full Article - PDF    Page 1-14

DOI : 10.9734/ARJOM/2018/40684

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