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...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
2014
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| Subjects: | |
| Online Access: | 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 |
| _version_ | 1848781638326026240 |
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| author | Hosen, Md. Alai Chowdhury, Md. Sazzad Hossien |
| author_facet | Hosen, Md. Alai Chowdhury, Md. Sazzad Hossien |
| author_sort | Hosen, Md. Alai |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T15:52:45Z |
| format | Proceeding Paper |
| id | iium-38617 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T15:52:45Z |
| publishDate | 2014 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | 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 Proceeding Paper 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 |
| spellingShingle | QA Mathematics Hosen, Md. Alai Chowdhury, Md. Sazzad Hossien Solution of cubic-quintic Duffing oscillators using harmonic balance method |
| title | 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_short | Solution of cubic-quintic Duffing oscillators using harmonic balance method |
| title_sort | solution of cubic-quintic duffing oscillators using harmonic balance method |
| topic | QA Mathematics |
| 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 |