A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force
In the present paper, a complicated strongly nonlinear oscillator with cubic and harmonic restoring force, has been analysed and solved completely by harmonic balance method (HBM). Investigating analytically such kinds of oscillator is very difficult task and cumbersome. In this study, the offered...
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| Format: | Article |
| Language: | English |
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Elsevier
2015
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| Online Access: | http://irep.iium.edu.my/44790/ http://irep.iium.edu.my/44790/1/A_new_reliable_analytical_solution_for_strongly_nonlinear_oscillator_with_cubic_and_harmonic_restoring_force.pdf |
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| author | Hosen, Md. Alal Chowdhury, Md. Sazzad Hossien |
| author_facet | Hosen, Md. Alal Chowdhury, Md. Sazzad Hossien |
| author_sort | Hosen, Md. Alal |
| building | IIUM Repository |
| collection | Online Access |
| description | In the present paper, a complicated strongly nonlinear oscillator with cubic and harmonic restoring force,
has been analysed and solved completely by harmonic balance method (HBM). Investigating analytically such kinds of oscillator is very difficult task and cumbersome. In this study, the offered technique gives desired results and to avoid numerical complexity. An excellent agreement was found between approximate and numerical solutions, which prove that HBM is very efficient and produces high accuracy
results. It is remarkably important that, second-order approximate results are almost same with exact
solutions. The advantage of this method is its simple procedure and applicable for many other oscillatory
problems arising in science and engineering. |
| first_indexed | 2025-11-14T16:09:05Z |
| format | Article |
| id | iium-44790 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T16:09:05Z |
| publishDate | 2015 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-447902018-02-21T08:44:50Z http://irep.iium.edu.my/44790/ A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force Hosen, Md. Alal Chowdhury, Md. Sazzad Hossien QA Mathematics In the present paper, a complicated strongly nonlinear oscillator with cubic and harmonic restoring force, has been analysed and solved completely by harmonic balance method (HBM). Investigating analytically such kinds of oscillator is very difficult task and cumbersome. In this study, the offered technique gives desired results and to avoid numerical complexity. An excellent agreement was found between approximate and numerical solutions, which prove that HBM is very efficient and produces high accuracy results. It is remarkably important that, second-order approximate results are almost same with exact solutions. The advantage of this method is its simple procedure and applicable for many other oscillatory problems arising in science and engineering. Elsevier 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/44790/1/A_new_reliable_analytical_solution_for_strongly_nonlinear_oscillator_with_cubic_and_harmonic_restoring_force.pdf Hosen, Md. Alal and Chowdhury, Md. Sazzad Hossien (2015) A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force. Results in Physics, 5. pp. 111-114. ISSN 2211-3797 http://www.journals.elsevier.com/results-in-physics/ |
| spellingShingle | QA Mathematics Hosen, Md. Alal Chowdhury, Md. Sazzad Hossien A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force |
| title | A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force |
| title_full | A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force |
| title_fullStr | A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force |
| title_full_unstemmed | A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force |
| title_short | A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force |
| title_sort | new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/44790/ http://irep.iium.edu.my/44790/ http://irep.iium.edu.my/44790/1/A_new_reliable_analytical_solution_for_strongly_nonlinear_oscillator_with_cubic_and_harmonic_restoring_force.pdf |