A comparison study on the harmonic balance method and rational harmonic balance method for the Duffing-harmonic oscillator

Hosen, Md. Alal and Chowdhury, Md. Sazzad Hossien and Ali, Mohammad Yeakub and Ismail, Ahmad Faris (2016) A comparison study on the harmonic balance method and rational harmonic balance method for the Duffing-harmonic oscillator. Global Journal of Pure and Applied Mathematics, 12 (3). pp. 2721-2732. ISSN 0973-1768 E-ISSN 0973-9750

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Abstract

The Duffing-harmonic oscillator is a common model in nonlinear sciences and engineering. In the present paper, the harmonic balance method and rational harmonic balance method have been introduced to derive the approximate periods of strongly nonlinear Duffing-harmonic oscillator. The comparison of two methods is made to demonstrate that the rational harmonic balance method (RHBM) gives almost similar results to next higher-order approximation results of harmonic balance method (HBM). It is highly remarkable that the solution procedure in both methods are simple and takes less computational effort for determining approximate periods and shows a good agreement compared with the exact ones.

Item Type:	Article (Journal)
Additional Information:	5807/51347
Uncontrolled Keywords:	Duffing-harmonic oscillator; Harmonic balance method; Nonlinear algebraic equations; Power series solution; Rational Harmonic balance method
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering
Depositing User:	Prof Dr Ahmad Faris Ismail
Date Deposited:	29 Jul 2016 09:17
Last Modified:	21 Mar 2017 16:40
URI:	http://irep.iium.edu.my/id/eprint/51347

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