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A nonlinear dynamic model of magnetorheological elastomers in magnetic fields based on fractional viscoelasticity

A nonlinear dynamic model of magnetorheological elastomers in magnetic fields based on fractional viscoelasticity
A nonlinear dynamic model of magnetorheological elastomers in magnetic fields based on fractional viscoelasticity

As smart materials, magnetorheological elastomers (MREs) have been broadly applied in the field of intelligent structures and devices. In order to mathematically represent the dynamic behavior in a wide range of strain amplitude, excitation frequency and magnetic field; a nonlinear model with a fractional element was developed for MREs in a linear viscoelastic regime. The identification of model parameters was realized through fitting experimental data of dynamic moduli measured in shear mode, and the identified parameters exhibited good repeatability and consistency to reflect the rationality of this nonlinear dynamic model. Considering material elasticity and viscosity, the dependence of model parameters on strain amplitudes and magnetic fields was analyzed to interpret the dynamics of MREs. The fitted results displayed an excellent agreement with the experimental results on the dependence of dynamic moduli on strain amplitudes and magnetic fields. Using the predictor-corrector approach, predicted results on the stress-strain hysteresis loop were calculated based on identified parameters to further validate the proposed model by comparing with experimental results and predicted results of the revised Bouc-Wen model. This proposed model is expected to facilitate the dynamic analysis and simulation of MRE based vibration systems with a high precision accuracy.

Nonlinear dynamic model, dynamic mechanical analysis, fractional viscoelasticity, magnetorheological elastomers, stress-strain hysteresis
1045-389X
228-239
Zhu, Guanghong
20176808-b400-4f6a-8b18-b9c273528c82
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Li, Z.
7de75e0d-e374-472a-9717-b87c90264a99
Li, M.
640bbc6d-98fc-445b-a559-42ad80d3be9f
Xiao, L.
eff2bef8-52ca-46be-9eb9-af31a3baf51c
Bai, Xianxu
971d1164-666f-4968-a40d-6a475a242df0
Zhu, Guanghong
20176808-b400-4f6a-8b18-b9c273528c82
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Li, Z.
7de75e0d-e374-472a-9717-b87c90264a99
Li, M.
640bbc6d-98fc-445b-a559-42ad80d3be9f
Xiao, L.
eff2bef8-52ca-46be-9eb9-af31a3baf51c
Bai, Xianxu
971d1164-666f-4968-a40d-6a475a242df0

Zhu, Guanghong, Xiong, Yeping, Li, Z., Li, M., Xiao, L. and Bai, Xianxu (2021) A nonlinear dynamic model of magnetorheological elastomers in magnetic fields based on fractional viscoelasticity. Journal of Intelligent Material Systems and Structures, 32 (2), 228-239. (doi:10.1177/1045389X20953618).

Record type: Article

Abstract

As smart materials, magnetorheological elastomers (MREs) have been broadly applied in the field of intelligent structures and devices. In order to mathematically represent the dynamic behavior in a wide range of strain amplitude, excitation frequency and magnetic field; a nonlinear model with a fractional element was developed for MREs in a linear viscoelastic regime. The identification of model parameters was realized through fitting experimental data of dynamic moduli measured in shear mode, and the identified parameters exhibited good repeatability and consistency to reflect the rationality of this nonlinear dynamic model. Considering material elasticity and viscosity, the dependence of model parameters on strain amplitudes and magnetic fields was analyzed to interpret the dynamics of MREs. The fitted results displayed an excellent agreement with the experimental results on the dependence of dynamic moduli on strain amplitudes and magnetic fields. Using the predictor-corrector approach, predicted results on the stress-strain hysteresis loop were calculated based on identified parameters to further validate the proposed model by comparing with experimental results and predicted results of the revised Bouc-Wen model. This proposed model is expected to facilitate the dynamic analysis and simulation of MRE based vibration systems with a high precision accuracy.

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Intelligent Material Sys & Structures 2020 Zhu & Xiong - Accepted Manuscript
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More information

Accepted/In Press date: 4 August 2020
e-pub ahead of print date: 10 September 2020
Published date: 1 January 2021
Keywords: Nonlinear dynamic model, dynamic mechanical analysis, fractional viscoelasticity, magnetorheological elastomers, stress-strain hysteresis

Identifiers

Local EPrints ID: 443769
URI: http://eprints.soton.ac.uk/id/eprint/443769
ISSN: 1045-389X
PURE UUID: c85d0a9e-6049-4b58-a5a4-9547df32bec0
ORCID for Yeping Xiong: ORCID iD orcid.org/0000-0002-0135-8464

Catalogue record

Date deposited: 11 Sep 2020 16:30
Last modified: 26 Nov 2021 02:44

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Contributors

Author: Guanghong Zhu
Author: Yeping Xiong ORCID iD
Author: Z. Li
Author: M. Li
Author: L. Xiao
Author: Xianxu Bai

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