An analytical approximation technique for the duffing oscillator based on the energy balance method

Hosen, Md. Alal and Chowdhury, Md. Sazzad Hossien and Ali, Mohammad Yeakub and Ismail, Ahmad Faris (2017) An analytical approximation technique for the duffing oscillator based on the energy balance method. Italian Journal of Pure and Applied Mathematics, 37. pp. 455-466. ISSN 1126-8042

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Abstract

In this paper, an analytical approximation technique has been presented of obtaining higher-order approximate solutions for highly nonlinear Duffing oscillator based on the energy balance method (EBM). Higher-order approximate natural frequencies have been obtained in a novel analytical way. The accuracy of the solution method is evaluated within as error analysis. It is highly remarkable that using the presented technique, the approximation solutions produces desired results even for large oscillation as compared with the exact ones. Moreover, the solution method yields much better results than existing solutions after using a suitable truncation formula. The presented technique is applied to well-known Duffing oscillator to illustrate its novelty, reliability and wider applicability

Item Type:	Article (Journal)
Additional Information:	5807/60710
Uncontrolled Keywords:	Analytical approximate technique, duffing oscillator, energy balance method, truncation principle
Subjects:	T Technology > T Technology (General) T Technology > TJ Mechanical engineering and machinery T Technology > TS Manufactures
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Manufacturing and Materials Engineering
Depositing User:	Prof. Ir. Dr. Mohammad Yeakub Ali
Date Deposited:	28 Dec 2017 16:39
Last Modified:	12 Mar 2018 10:14
URI:	http://irep.iium.edu.my/id/eprint/60710

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