A new analytical approach to

A new analytical approach to

In this paper, a modified harmonic balance method is used to investigate the strongly nonlinear oscillators. The approximate frequency and periodic solution for both small and large amplitude of oscillations show a good agreement with the numerical solution (considered to be exact). One of the most...

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Bibliographic Details
Main Author: Md. Abdur Razzak
Format: Article
Language:English
Published: Elsevier 2016-06-01
Series:Alexandria Engineering Journal
Subjects:
Nonlinear oscillation
Harmonic balance method
Duffing-harmonic oscillator
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016816300564
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spelling doaj-55c99a9878634cdc82d5315a44639ae72021-06-02T03:16:44ZengElsevierAlexandria Engineering Journal1110-01682016-06-015521827183410.1016/j.aej.2016.04.001A new analytical approach toMd. Abdur RazzakIn this paper, a modified harmonic balance method is used to investigate the strongly nonlinear oscillators. The approximate frequency and periodic solution for both small and large amplitude of oscillations show a good agreement with the numerical solution (considered to be exact). One of the most advantages of the presented method is its simplicity. Results found in this paper are compared with other existing solutions (obtained by several authors) and those results are more accurate than other existing solutions. The method is illustrated by examples.http://www.sciencedirect.com/science/article/pii/S1110016816300564Nonlinear oscillationHarmonic balance methodDuffing-harmonic oscillator
collection DOAJ
language English
format Article
sources DOAJ
author Md. Abdur Razzak
spellingShingle Md. Abdur Razzak
A new analytical approach to
Alexandria Engineering Journal
Nonlinear oscillation
Harmonic balance method
Duffing-harmonic oscillator
author_facet Md. Abdur Razzak
author_sort Md. Abdur Razzak
title A new analytical approach to
title_short A new analytical approach to
title_full A new analytical approach to
title_fullStr A new analytical approach to
title_full_unstemmed A new analytical approach to
title_sort new analytical approach to
publisher Elsevier
series Alexandria Engineering Journal
issn 1110-0168
publishDate 2016-06-01
description In this paper, a modified harmonic balance method is used to investigate the strongly nonlinear oscillators. The approximate frequency and periodic solution for both small and large amplitude of oscillations show a good agreement with the numerical solution (considered to be exact). One of the most advantages of the presented method is its simplicity. Results found in this paper are compared with other existing solutions (obtained by several authors) and those results are more accurate than other existing solutions. The method is illustrated by examples.
topic Nonlinear oscillation
Harmonic balance method
Duffing-harmonic oscillator
url http://www.sciencedirect.com/science/article/pii/S1110016816300564
work_keys_str_mv AT mdabdurrazzak anewanalyticalapproachto
AT mdabdurrazzak newanalyticalapproachto
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