Solution of cubic-quintic Duffing oscillators using harmonic balance method
In this study, Harmonic balance Method (HBM) is applied to approximate analytic solutions of strongly nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. In this paper, the HBM is mainly illustrated by the cubic-quintic Duffing oscillator. Numerical comparisons between the HB...
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| Format: | Conference or Workshop Item |
| Language: | English English |
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2014
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| Online Access: | http://irep.iium.edu.my/38617/ http://irep.iium.edu.my/38617/ http://irep.iium.edu.my/38617/6/Program_Schedule_of_prsented_papers.pdf http://irep.iium.edu.my/38617/8/sazzad.pdf |
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iium-38617 |
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eprints |
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iium-386172014-10-09T02:03:12Z http://irep.iium.edu.my/38617/ Solution of cubic-quintic Duffing oscillators using harmonic balance method Hosen, Md. Alai Chowdhury, Md. Sazzad Hossien QA Mathematics In this study, Harmonic balance Method (HBM) is applied to approximate analytic solutions of strongly nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. In this paper, the HBM is mainly illustrated by the cubic-quintic Duffing oscillator. Numerical comparisons between the HBM and the exact solutions reveal that the HBM is a promising tool for strongly nonlinear oscillator’s problems. 2014 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/38617/6/Program_Schedule_of_prsented_papers.pdf application/pdf en http://irep.iium.edu.my/38617/8/sazzad.pdf Hosen, Md. Alai and Chowdhury, Md. Sazzad Hossien (2014) Solution of cubic-quintic Duffing oscillators using harmonic balance method. In: 3rd International Conference on Mathematical Applications in Engineering (ICMAE'14), 23-25 Sept. 2014, Sunway Putra Hotel, Kuala Lumpur. (Unpublished) http://www.iium.edu.my/icmae/14/?page_id=502 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Hosen, Md. Alai Chowdhury, Md. Sazzad Hossien Solution of cubic-quintic Duffing oscillators using harmonic balance method |
| description |
In this study, Harmonic balance Method (HBM) is applied to approximate analytic solutions of strongly nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. In this paper, the HBM is mainly illustrated by the cubic-quintic Duffing oscillator. Numerical comparisons between the HBM and the exact solutions reveal that the HBM is a promising tool for strongly nonlinear oscillator’s problems. |
| format |
Conference or Workshop Item |
| author |
Hosen, Md. Alai Chowdhury, Md. Sazzad Hossien |
| author_facet |
Hosen, Md. Alai Chowdhury, Md. Sazzad Hossien |
| author_sort |
Hosen, Md. Alai |
| title |
Solution of cubic-quintic Duffing oscillators using harmonic balance method |
| title_short |
Solution of cubic-quintic Duffing oscillators using harmonic balance method |
| title_full |
Solution of cubic-quintic Duffing oscillators using harmonic balance method |
| title_fullStr |
Solution of cubic-quintic Duffing oscillators using harmonic balance method |
| title_full_unstemmed |
Solution of cubic-quintic Duffing oscillators using harmonic balance method |
| title_sort |
solution of cubic-quintic duffing oscillators using harmonic balance method |
| publishDate |
2014 |
| url |
http://irep.iium.edu.my/38617/ http://irep.iium.edu.my/38617/ http://irep.iium.edu.my/38617/6/Program_Schedule_of_prsented_papers.pdf http://irep.iium.edu.my/38617/8/sazzad.pdf |
| first_indexed |
2023-09-18T20:55:29Z |
| last_indexed |
2023-09-18T20:55:29Z |
| _version_ |
1777410275161407488 |