The homotopy perturbation method for a nonlinear oscillator with a damping

The homotopy perturbation method for a nonlinear oscillator with a damping

The homotopy perturbation method is extended to solve nonlinear oscillators with damping terms, and an explicit relationship between the frequency and amplitude is obtained, the main factor affecting the periodic property is revealed.

Bibliographic Details
Main Authors: Shaowen Yao, Zhibo Cheng
Format: Article
Language:English
Published: SAGE Publishing 2019-12-01
Series:Journal of Low Frequency Noise, Vibration and Active Control
Online Access:https://doi.org/10.1177/1461348419836344
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spelling doaj-9513cb4a95554949952b02e22088cc3d2020-11-25T03:41:19ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462019-12-013810.1177/1461348419836344The homotopy perturbation method for a nonlinear oscillator with a dampingShaowen YaoZhibo ChengThe homotopy perturbation method is extended to solve nonlinear oscillators with damping terms, and an explicit relationship between the frequency and amplitude is obtained, the main factor affecting the periodic property is revealed.https://doi.org/10.1177/1461348419836344
collection DOAJ
language English
format Article
sources DOAJ
author Shaowen Yao
Zhibo Cheng
spellingShingle Shaowen Yao
Zhibo Cheng
The homotopy perturbation method for a nonlinear oscillator with a damping
Journal of Low Frequency Noise, Vibration and Active Control
author_facet Shaowen Yao
Zhibo Cheng
author_sort Shaowen Yao
title The homotopy perturbation method for a nonlinear oscillator with a damping
title_short The homotopy perturbation method for a nonlinear oscillator with a damping
title_full The homotopy perturbation method for a nonlinear oscillator with a damping
title_fullStr The homotopy perturbation method for a nonlinear oscillator with a damping
title_full_unstemmed The homotopy perturbation method for a nonlinear oscillator with a damping
title_sort homotopy perturbation method for a nonlinear oscillator with a damping
publisher SAGE Publishing
series Journal of Low Frequency Noise, Vibration and Active Control
issn 1461-3484
2048-4046
publishDate 2019-12-01
description The homotopy perturbation method is extended to solve nonlinear oscillators with damping terms, and an explicit relationship between the frequency and amplitude is obtained, the main factor affecting the periodic property is revealed.
url https://doi.org/10.1177/1461348419836344
work_keys_str_mv AT shaowenyao thehomotopyperturbationmethodforanonlinearoscillatorwithadamping
AT zhibocheng thehomotopyperturbationmethodforanonlinearoscillatorwithadamping
AT shaowenyao homotopyperturbationmethodforanonlinearoscillatorwithadamping
AT zhibocheng homotopyperturbationmethodforanonlinearoscillatorwithadamping
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