Ren’s frequency–amplitude formulation for nonlinear oscillators

A fast insight into the frequency–amplitude relationship of a rehabilitation training device and other nonlinear vibrations as well is of great importance. This paper applies Ren’s frequency–amplitude formulation to obtain approximate frequencies of nonlinear oscillators with little calculation whil...

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Main Authors: Gui-Fang Hu, Shu-Xian Deng
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/10.1177/1461348418815045
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spelling doaj-6b8a7b37274a4a8d8ef993918a95419f2020-11-25T03:26:37ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462019-12-013810.1177/1461348418815045Ren’s frequency–amplitude formulation for nonlinear oscillatorsGui-Fang HuShu-Xian DengA fast insight into the frequency–amplitude relationship of a rehabilitation training device and other nonlinear vibrations as well is of great importance. This paper applies Ren’s frequency–amplitude formulation to obtain approximate frequencies of nonlinear oscillators with little calculation while keeping high relative accuracy. The golden mean location is used in the example procedures.https://doi.org/10.1177/1461348418815045
collection DOAJ
language English
format Article
sources DOAJ
author Gui-Fang Hu
Shu-Xian Deng
spellingShingle Gui-Fang Hu
Shu-Xian Deng
Ren’s frequency–amplitude formulation for nonlinear oscillators
Journal of Low Frequency Noise, Vibration and Active Control
author_facet Gui-Fang Hu
Shu-Xian Deng
author_sort Gui-Fang Hu
title Ren’s frequency–amplitude formulation for nonlinear oscillators
title_short Ren’s frequency–amplitude formulation for nonlinear oscillators
title_full Ren’s frequency–amplitude formulation for nonlinear oscillators
title_fullStr Ren’s frequency–amplitude formulation for nonlinear oscillators
title_full_unstemmed Ren’s frequency–amplitude formulation for nonlinear oscillators
title_sort ren’s frequency–amplitude formulation for nonlinear oscillators
publisher SAGE Publishing
series Journal of Low Frequency Noise, Vibration and Active Control
issn 1461-3484
2048-4046
publishDate 2019-12-01
description A fast insight into the frequency–amplitude relationship of a rehabilitation training device and other nonlinear vibrations as well is of great importance. This paper applies Ren’s frequency–amplitude formulation to obtain approximate frequencies of nonlinear oscillators with little calculation while keeping high relative accuracy. The golden mean location is used in the example procedures.
url https://doi.org/10.1177/1461348418815045
work_keys_str_mv AT guifanghu rensfrequencyamplitudeformulationfornonlinearoscillators
AT shuxiandeng rensfrequencyamplitudeformulationfornonlinearoscillators
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