An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams

An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams

In this paper, a new analytical approach has been presented for solving strongly nonlinear oscillator problems. Iteration perturbation method leads us to high accurate solution. Two different high nonlinear examples are also presented to show the application and accuracy of the presented method. The...

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Main Author: Gamal Ismail
Format: Article
Language:English
Published: Shahid Chamran University of Ahvaz 2015-11-01
Series:Journal of Applied and Computational Mechanics
Online Access:http://jacm.scu.ac.ir/article_12268.html
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spelling doaj-dc23e706b60d4cce9728db936efdcf032020-11-24T23:08:54ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362015-11-012110.22055/jacm.2016.12268An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered BeamsGamal IsmailIn this paper, a new analytical approach has been presented for solving strongly nonlinear oscillator problems. Iteration perturbation method leads us to high accurate solution. Two different high nonlinear examples are also presented to show the application and accuracy of the presented method. The results are compared with analytical methods and with the numerical solution using Runge-Kutta method in different figures. It has been shown that the iteration perturbation approach doesn't need any small perturbation and is accurate for nonlinear oscillator equations.http://jacm.scu.ac.ir/article_12268.html
collection DOAJ
language English
format Article
sources DOAJ
author Gamal Ismail
spellingShingle Gamal Ismail
An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams
Journal of Applied and Computational Mechanics
author_facet Gamal Ismail
author_sort Gamal Ismail
title An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams
title_short An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams
title_full An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams
title_fullStr An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams
title_full_unstemmed An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams
title_sort analytical technique for solving nonlinear oscillators of the motion of a rigid rod rocking bock and tapered beams
publisher Shahid Chamran University of Ahvaz
series Journal of Applied and Computational Mechanics
issn 2383-4536
2383-4536
publishDate 2015-11-01
description In this paper, a new analytical approach has been presented for solving strongly nonlinear oscillator problems. Iteration perturbation method leads us to high accurate solution. Two different high nonlinear examples are also presented to show the application and accuracy of the presented method. The results are compared with analytical methods and with the numerical solution using Runge-Kutta method in different figures. It has been shown that the iteration perturbation approach doesn't need any small perturbation and is accurate for nonlinear oscillator equations.
url http://jacm.scu.ac.ir/article_12268.html
work_keys_str_mv AT gamalismail ananalyticaltechniqueforsolvingnonlinearoscillatorsofthemotionofarigidrodrockingbockandtaperedbeams
AT gamalismail analyticaltechniqueforsolvingnonlinearoscillatorsofthemotionofarigidrodrockingbockandtaperedbeams
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