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

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...

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Main Authors:	Hosen, Md. Alal, Chowdhury, Md. Sazzad Hossien, Ali, Mohammad Yeakub, Ismail, Ahmad Faris
Format:	Article
Language:	English English
Published:	Forum Societa Editrice Universitaria Udinese srl 2017
Subjects:	T Technology (General) TJ Mechanical engineering and machinery TS Manufactures
Online Access:	http://irep.iium.edu.my/60710/ http://irep.iium.edu.my/60710/ http://irep.iium.edu.my/60710/1/41-HosenChowdhuryAliIsmail.pdf http://irep.iium.edu.my/60710/12/60710_An%20analytical%20approximation%20technique_SCOPUS.pdf

id	iium-60710
recordtype	eprints
spelling	iium-607102018-03-12T02:14:50Z http://irep.iium.edu.my/60710/ An analytical approximation technique for the duffing oscillator based on the energy balance method Hosen, Md. Alal Chowdhury, Md. Sazzad Hossien Ali, Mohammad Yeakub Ismail, Ahmad Faris T Technology (General) TJ Mechanical engineering and machinery TS Manufactures 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 Forum Societa Editrice Universitaria Udinese srl 2017 Article PeerReviewed application/pdf en http://irep.iium.edu.my/60710/1/41-HosenChowdhuryAliIsmail.pdf application/pdf en http://irep.iium.edu.my/60710/12/60710_An%20analytical%20approximation%20technique_SCOPUS.pdf 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 http://ijpam.uniud.it/online_issue/201737/41-HosenChowdhuryAliIsmail.pdf
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	T Technology (General) TJ Mechanical engineering and machinery TS Manufactures
spellingShingle	T Technology (General) TJ Mechanical engineering and machinery TS Manufactures Hosen, Md. Alal Chowdhury, Md. Sazzad Hossien Ali, Mohammad Yeakub Ismail, Ahmad Faris An analytical approximation technique for the duffing oscillator based on the energy balance method
description	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
format	Article
author	Hosen, Md. Alal Chowdhury, Md. Sazzad Hossien Ali, Mohammad Yeakub Ismail, Ahmad Faris
author_facet	Hosen, Md. Alal Chowdhury, Md. Sazzad Hossien Ali, Mohammad Yeakub Ismail, Ahmad Faris
author_sort	Hosen, Md. Alal
title	An analytical approximation technique for the duffing oscillator based on the energy balance method
title_short	An analytical approximation technique for the duffing oscillator based on the energy balance method
title_full	An analytical approximation technique for the duffing oscillator based on the energy balance method
title_fullStr	An analytical approximation technique for the duffing oscillator based on the energy balance method
title_full_unstemmed	An analytical approximation technique for the duffing oscillator based on the energy balance method
title_sort	analytical approximation technique for the duffing oscillator based on the energy balance method
publisher	Forum Societa Editrice Universitaria Udinese srl
publishDate	2017
url	http://irep.iium.edu.my/60710/ http://irep.iium.edu.my/60710/ http://irep.iium.edu.my/60710/1/41-HosenChowdhuryAliIsmail.pdf http://irep.iium.edu.my/60710/12/60710_An%20analytical%20approximation%20technique_SCOPUS.pdf
first_indexed	2023-09-18T21:26:04Z
last_indexed	2023-09-18T21:26:04Z
_version_	1777412199522762752

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

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