Vibration study of dielectric elastomer conical structure based on fractional viscoelasticity

Abstract Dielectric elastomer (DE) is intelligent soft material which is widely used in actuator and energy harvesting fields such as softs robots and wave energy harvesting. Viscoelasticity of DE is seldom investigated by the fractional derivative modeling which is more suited for describing the no...

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Main Authors: Demin Zhao, Hongze Du, Aoyu Xiao, Gongqi Cao, Zhilong Lian, Jianlin Liu
Format: Article
Language:English
Published: Nature Portfolio 2025-04-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-95393-0
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author Demin Zhao
Hongze Du
Aoyu Xiao
Gongqi Cao
Zhilong Lian
Jianlin Liu
author_facet Demin Zhao
Hongze Du
Aoyu Xiao
Gongqi Cao
Zhilong Lian
Jianlin Liu
author_sort Demin Zhao
collection DOAJ
description Abstract Dielectric elastomer (DE) is intelligent soft material which is widely used in actuator and energy harvesting fields such as softs robots and wave energy harvesting. Viscoelasticity of DE is seldom investigated by the fractional derivative modeling which is more suited for describing the non-Newton fluid of viscosity. The fractional dynamical governing equation of a conical structure for energy harvesting is established, the dynamic behaviors such as vibration displacement and velocity, amplitude-frequency character, output voltage are all studied by theory and experiments. The fractional viscoelasticity modeling without electricity fits well with the experiments. Viscoelasticity decreases both the displacement and the velocity of the transit vibration in overall frequency region. However, for the stable vibration, the viscoelasticity reduces the amplitude in low and resonance regions, and it enhances the amplitude in high frequency region. The input voltage effects lightly both the static and dynamic amplitudes. The output voltage predicted by theory is agree with counterparts of the experiment to some extent. This research can give some information for design of the wave energy harvesting.
format Article
id doaj-art-2db70df13a1849edbf3e096332d427e8
institution DOAJ
issn 2045-2322
language English
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publisher Nature Portfolio
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spelling doaj-art-2db70df13a1849edbf3e096332d427e82025-08-20T03:07:40ZengNature PortfolioScientific Reports2045-23222025-04-0115111210.1038/s41598-025-95393-0Vibration study of dielectric elastomer conical structure based on fractional viscoelasticityDemin Zhao0Hongze Du1Aoyu Xiao2Gongqi Cao3Zhilong Lian4Jianlin Liu5College of Pipeline and Civil Engineering, China University of Petroleum (East China)College of Pipeline and Civil Engineering, China University of Petroleum (East China)College of Pipeline and Civil Engineering, China University of Petroleum (East China)College of Pipeline and Civil Engineering, China University of Petroleum (East China)CNPC Engineering Technology Institute LtdCollege of Pipeline and Civil Engineering, China University of Petroleum (East China)Abstract Dielectric elastomer (DE) is intelligent soft material which is widely used in actuator and energy harvesting fields such as softs robots and wave energy harvesting. Viscoelasticity of DE is seldom investigated by the fractional derivative modeling which is more suited for describing the non-Newton fluid of viscosity. The fractional dynamical governing equation of a conical structure for energy harvesting is established, the dynamic behaviors such as vibration displacement and velocity, amplitude-frequency character, output voltage are all studied by theory and experiments. The fractional viscoelasticity modeling without electricity fits well with the experiments. Viscoelasticity decreases both the displacement and the velocity of the transit vibration in overall frequency region. However, for the stable vibration, the viscoelasticity reduces the amplitude in low and resonance regions, and it enhances the amplitude in high frequency region. The input voltage effects lightly both the static and dynamic amplitudes. The output voltage predicted by theory is agree with counterparts of the experiment to some extent. This research can give some information for design of the wave energy harvesting.https://doi.org/10.1038/s41598-025-95393-0Dielectric elastomerViscoelasticityVibrationFractional derivative equationExperiment
spellingShingle Demin Zhao
Hongze Du
Aoyu Xiao
Gongqi Cao
Zhilong Lian
Jianlin Liu
Vibration study of dielectric elastomer conical structure based on fractional viscoelasticity
Scientific Reports
Dielectric elastomer
Viscoelasticity
Vibration
Fractional derivative equation
Experiment
title Vibration study of dielectric elastomer conical structure based on fractional viscoelasticity
title_full Vibration study of dielectric elastomer conical structure based on fractional viscoelasticity
title_fullStr Vibration study of dielectric elastomer conical structure based on fractional viscoelasticity
title_full_unstemmed Vibration study of dielectric elastomer conical structure based on fractional viscoelasticity
title_short Vibration study of dielectric elastomer conical structure based on fractional viscoelasticity
title_sort vibration study of dielectric elastomer conical structure based on fractional viscoelasticity
topic Dielectric elastomer
Viscoelasticity
Vibration
Fractional derivative equation
Experiment
url https://doi.org/10.1038/s41598-025-95393-0
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AT aoyuxiao vibrationstudyofdielectricelastomerconicalstructurebasedonfractionalviscoelasticity
AT gongqicao vibrationstudyofdielectricelastomerconicalstructurebasedonfractionalviscoelasticity
AT zhilonglian vibrationstudyofdielectricelastomerconicalstructurebasedonfractionalviscoelasticity
AT jianlinliu vibrationstudyofdielectricelastomerconicalstructurebasedonfractionalviscoelasticity