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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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 |
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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 |
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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 |
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1643615853202112512 |
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