Solution of cubic-quintic duffing oscillators using harmonic balance method
In this study, Harmonic Balance Method (HBM) is applied to determine approximate analytic solutions of strongly nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. Mainly, a set of nonlinear algebraic equations is solved in this method. The new method avoids the necessity...
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Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia
2016
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| Online Access: | http://irep.iium.edu.my/52243/ http://irep.iium.edu.my/52243/ http://irep.iium.edu.my/52243/7/52243.pdf http://irep.iium.edu.my/52243/8/52243-Solution%20of%20cubic-quintic%20duffing%20oscillators%20using%20harmonic%20balance%20method_SCOPUS.pdf |
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iium-522432017-04-13T02:52:30Z http://irep.iium.edu.my/52243/ Solution of cubic-quintic duffing oscillators using harmonic balance method Hosen, Mdalal Chowdhury, Md. Sazzad Hossien QA Mathematics In this study, Harmonic Balance Method (HBM) is applied to determine approximate analytic solutions of strongly nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. Mainly, a set of nonlinear algebraic equations is solved in this method. The new method avoids the necessity of numerically solving sets of algebraic equations with very complex nonlinearities. Numerical comparisons between the HBM and the exact solutions reveal that the HBM is a promising tool for strongly nonlinear oscillator’s problems Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia 2016-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/52243/7/52243.pdf application/pdf en http://irep.iium.edu.my/52243/8/52243-Solution%20of%20cubic-quintic%20duffing%20oscillators%20using%20harmonic%20balance%20method_SCOPUS.pdf Hosen, Mdalal and Chowdhury, Md. Sazzad Hossien (2016) Solution of cubic-quintic duffing oscillators using harmonic balance method. Malaysian Journal of Mathematical Sciences, 10. pp. 181-192. ISSN 1823-8343 E-ISSN 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb/No16.pdf |
| 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, Mdalal 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 determine
approximate analytic solutions of strongly nonlinear Duffing oscillators
with cubic-quintic nonlinear restoring force. Mainly, a set of nonlinear
algebraic equations is solved in this method. The new method avoids
the necessity of numerically solving sets of algebraic equations with very
complex nonlinearities. Numerical comparisons between the HBM and
the exact solutions reveal that the HBM is a promising tool for strongly
nonlinear oscillator’s problems |
| format |
Article |
| author |
Hosen, Mdalal Chowdhury, Md. Sazzad Hossien |
| author_facet |
Hosen, Mdalal Chowdhury, Md. Sazzad Hossien |
| author_sort |
Hosen, Mdalal |
| 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 |
| publisher |
Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia |
| publishDate |
2016 |
| url |
http://irep.iium.edu.my/52243/ http://irep.iium.edu.my/52243/ http://irep.iium.edu.my/52243/7/52243.pdf http://irep.iium.edu.my/52243/8/52243-Solution%20of%20cubic-quintic%20duffing%20oscillators%20using%20harmonic%20balance%20method_SCOPUS.pdf |
| first_indexed |
2023-09-18T21:14:02Z |
| last_indexed |
2023-09-18T21:14:02Z |
| _version_ |
1777411442701500416 |