Dynamic properties of piecewise linear systems with fractional time-delay feedback

Dynamic properties of piecewise linear systems with fractional time-delay feedback

The forced vibration of a single-degree-of-freedom piecewise linear system containing fractional time-delay feedback was investigated. The approximate analytical solution of the system was obtained by employing an averaging method. A frequency response equation containing time delay was obtained by...

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Autores principales: Jianchao Zhang, Jun Wang, Jiangchuan Niu, Yufei Hu
Formato: article
Lenguaje:EN
Publicado: SAGE Publishing 2021
Materias:
Control engineering systems. Automatic machinery (General)
TJ212-225
Acoustics. Sound
QC221-246
Acceso en línea:https://doaj.org/article/f7fe10feb72849db86e1b1c0558bd5f2
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spelling oai:doaj.org-article:f7fe10feb72849db86e1b1c0558bd5f22021-12-02T01:34:48ZDynamic properties of piecewise linear systems with fractional time-delay feedback1461-34842048-404610.1177/14613484211007633https://doaj.org/article/f7fe10feb72849db86e1b1c0558bd5f22021-12-01T00:00:00Zhttps://doi.org/10.1177/14613484211007633https://doaj.org/toc/1461-3484https://doaj.org/toc/2048-4046The forced vibration of a single-degree-of-freedom piecewise linear system containing fractional time-delay feedback was investigated. The approximate analytical solution of the system was obtained by employing an averaging method. A frequency response equation containing time delay was obtained by studying a steady-state solution. The stability conditions of the steady-state solution, the amplitude–frequency results, and the numerical solutions of the system under different time-delay parameters were compared. Comparison results indicated a favorable goodness of fit between the two parameters and revealed the correctness of the analytical solution. The effects of the time-delay and fractional parameters, piecewise stiffness, and piecewise gap on the principal resonance and bifurcation of the system were emphasized. Results showed that fractional time delay occurring in the form of equivalent linear dampness and stiffness under periodic variations in the system and influenced the vibration characteristic of the system. Moreover, piecewise stiffness and gap induced the nonlinear characteristic of the system under certain parameters.Jianchao ZhangJun WangJiangchuan NiuYufei HuSAGE PublishingarticleControl engineering systems. Automatic machinery (General)TJ212-225Acoustics. SoundQC221-246ENJournal of Low Frequency Noise, Vibration and Active Control, Vol 40 (2021)
institution DOAJ
collection DOAJ
language EN
topic Control engineering systems. Automatic machinery (General)
TJ212-225
Acoustics. Sound
QC221-246
spellingShingle Control engineering systems. Automatic machinery (General)
TJ212-225
Acoustics. Sound
QC221-246
Jianchao Zhang
Jun Wang
Jiangchuan Niu
Yufei Hu
Dynamic properties of piecewise linear systems with fractional time-delay feedback
description The forced vibration of a single-degree-of-freedom piecewise linear system containing fractional time-delay feedback was investigated. The approximate analytical solution of the system was obtained by employing an averaging method. A frequency response equation containing time delay was obtained by studying a steady-state solution. The stability conditions of the steady-state solution, the amplitude–frequency results, and the numerical solutions of the system under different time-delay parameters were compared. Comparison results indicated a favorable goodness of fit between the two parameters and revealed the correctness of the analytical solution. The effects of the time-delay and fractional parameters, piecewise stiffness, and piecewise gap on the principal resonance and bifurcation of the system were emphasized. Results showed that fractional time delay occurring in the form of equivalent linear dampness and stiffness under periodic variations in the system and influenced the vibration characteristic of the system. Moreover, piecewise stiffness and gap induced the nonlinear characteristic of the system under certain parameters.
format article
author Jianchao Zhang
Jun Wang
Jiangchuan Niu
Yufei Hu
author_facet Jianchao Zhang
Jun Wang
Jiangchuan Niu
Yufei Hu
author_sort Jianchao Zhang
title Dynamic properties of piecewise linear systems with fractional time-delay feedback
title_short Dynamic properties of piecewise linear systems with fractional time-delay feedback
title_full Dynamic properties of piecewise linear systems with fractional time-delay feedback
title_fullStr Dynamic properties of piecewise linear systems with fractional time-delay feedback
title_full_unstemmed Dynamic properties of piecewise linear systems with fractional time-delay feedback
title_sort dynamic properties of piecewise linear systems with fractional time-delay feedback
publisher SAGE Publishing
publishDate 2021
url https://doaj.org/article/f7fe10feb72849db86e1b1c0558bd5f2
work_keys_str_mv AT jianchaozhang dynamicpropertiesofpiecewiselinearsystemswithfractionaltimedelayfeedback
AT junwang dynamicpropertiesofpiecewiselinearsystemswithfractionaltimedelayfeedback
AT jiangchuanniu dynamicpropertiesofpiecewiselinearsystemswithfractionaltimedelayfeedback
AT yufeihu dynamicpropertiesofpiecewiselinearsystemswithfractionaltimedelayfeedback
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