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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Main Authors:	Hosen, Md. Alal, Chowdhury, Md. Sazzad Hossien
Format:	Article
Language:	English
Published:	Elsevier 2015
Subjects:	QA Mathematics
Online Access:	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

id	iium-44790
recordtype	eprints
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/
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics
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
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.
format	Article
author	Hosen, Md. Alal Chowdhury, Md. Sazzad Hossien
author_facet	Hosen, Md. Alal Chowdhury, Md. Sazzad Hossien
author_sort	Hosen, Md. Alal
title	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_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_sort	new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force
publisher	Elsevier
publishDate	2015
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
first_indexed	2023-09-18T21:03:40Z
last_indexed	2023-09-18T21:03:40Z
_version_	1777410790504005632

A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force

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