Hieu, D and Hai, N (2018) Analyzing of Nonlinear Generalized Duffing Oscillators Using the Equivalent Linearization Method with a Weighted Averaging. Asian Research Journal of Mathematics, 9 (1). pp. 1-14. ISSN 2456477X
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Abstract
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.
Item Type: | Article |
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Subjects: | Open Library Press > Mathematical Science |
Depositing User: | Unnamed user with email support@openlibrarypress.com |
Date Deposited: | 11 May 2023 06:47 |
Last Modified: | 16 Sep 2024 10:01 |
URI: | http://info.euro-archives.com/id/eprint/1152 |