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
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Online Access:http://irep.iium.edu.my/60710/1/41-HosenChowdhuryAliIsmail.pdf
http://irep.iium.edu.my/60710/12/60710_An%20analytical%20approximation%20technique_SCOPUS.pdf
http://irep.iium.edu.my/60710/
http://ijpam.uniud.it/online_issue/201737/41-HosenChowdhuryAliIsmail.pdf
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spelling my.iium.irep.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 REM 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
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/60710/1/41-HosenChowdhuryAliIsmail.pdf
http://irep.iium.edu.my/60710/12/60710_An%20analytical%20approximation%20technique_SCOPUS.pdf
http://irep.iium.edu.my/60710/
http://ijpam.uniud.it/online_issue/201737/41-HosenChowdhuryAliIsmail.pdf
_version_ 1643615853202112512
score 13.209306