Solution of nonlinear cubic-quintic duffing oscillators using harmonic balance method.

Solution of nonlinear 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 of...

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Bibliographic Details
Main Authors: Hosen, M. A, Chowdhury, Md. Sazzad Hossien
Format: Article
Language:English
English
Published: Universiti Putra Malaysia 2016
Subjects:
QA76 Computer software
Online Access:http://irep.iium.edu.my/55182/
http://irep.iium.edu.my/55182/
http://irep.iium.edu.my/55182/1/Solution%20of%20Cubic-Quintic%20duffing%20Oscillators%20using%20harmonic%20balance%20method.pdf
http://irep.iium.edu.my/55182/7/55182-Solution%20of%20cubic-quintic%20duffing%20oscillators%20using%20harmonic%20balance%20method_SCOPUS.pdf
id iium-55182
recordtype eprints
spelling iium-551822017-04-13T02:58:27Z http://irep.iium.edu.my/55182/ Solution of nonlinear cubic-quintic duffing oscillators using harmonic balance method. Hosen, M. A Chowdhury, Md. Sazzad Hossien QA76 Computer software 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. Universiti Putra Malaysia 2016 Article PeerReviewed application/pdf en http://irep.iium.edu.my/55182/1/Solution%20of%20Cubic-Quintic%20duffing%20Oscillators%20using%20harmonic%20balance%20method.pdf application/pdf en http://irep.iium.edu.my/55182/7/55182-Solution%20of%20cubic-quintic%20duffing%20oscillators%20using%20harmonic%20balance%20method_SCOPUS.pdf Hosen, M. A and Chowdhury, Md. Sazzad Hossien (2016) Solution of nonlinear cubic-quintic duffing oscillators using harmonic balance method. Malaysian journal of Mathematical sciences, 10 (Special Issue). pp. 181-192. ISSN 1823-8343 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 QA76 Computer software
spellingShingle QA76 Computer software
Hosen, M. A
Chowdhury, Md. Sazzad Hossien
Solution of nonlinear 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, M. A
Chowdhury, Md. Sazzad Hossien
author_facet Hosen, M. A
Chowdhury, Md. Sazzad Hossien
author_sort Hosen, M. A
title Solution of nonlinear cubic-quintic duffing oscillators using harmonic balance method.
title_short Solution of nonlinear cubic-quintic duffing oscillators using harmonic balance method.
title_full Solution of nonlinear cubic-quintic duffing oscillators using harmonic balance method.
title_fullStr Solution of nonlinear cubic-quintic duffing oscillators using harmonic balance method.
title_full_unstemmed Solution of nonlinear cubic-quintic duffing oscillators using harmonic balance method.
title_sort solution of nonlinear cubic-quintic duffing oscillators using harmonic balance method.
publisher Universiti Putra Malaysia
publishDate 2016
url http://irep.iium.edu.my/55182/
http://irep.iium.edu.my/55182/
http://irep.iium.edu.my/55182/1/Solution%20of%20Cubic-Quintic%20duffing%20Oscillators%20using%20harmonic%20balance%20method.pdf
http://irep.iium.edu.my/55182/7/55182-Solution%20of%20cubic-quintic%20duffing%20oscillators%20using%20harmonic%20balance%20method_SCOPUS.pdf
first_indexed 2023-09-18T21:18:00Z
last_indexed 2023-09-18T21:18:00Z
_version_ 1777411692639027200

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