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Experimental Study and Fractional Derivative Model Prediction for Dynamic Viscoelasticity of Magnetorheological Elastomers

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Abstract

Background

As a new type of magnetic sensitivity smart material, magnetorheological elastomers (MRE) showing a good magnetorheological effect have a wide application prospect in the field of intelligent structures and devices.

Purpose

To accurately characterize the dynamic mechanical behavior of MRE under varying strain amplitudes, frequencies, and magnetic fields, the viscoelastic fractional derivative was introduced, and a phenomenological model with fractional derivative was proposed to depict the hysteresis loops of MRE.

Methods

The micro-structure characteristics of MRE with varying mechanical properties were analyzed. The effects of strain amplitudes, frequencies, and magnetic fields on the dynamic viscoelasticity of MRE were studied experimentally. On this basis, the phenomenological model with fractional derivative was established. A parameter identification method was proposed to obtain the prediction model considering the current factor. The parameters of the prediction model were identified by using the GA-PSO optimization algorithm, and the identification results were verified.

Results

The storage and loss modulus of MRE first remain unchanged and then decrease with the increasing strain amplitudes (0 ~ 100%); and increase with the ascending frequencies (0 ~ 100 Hz); and increase with the increasing magnetic fields (0 ~ 545 mT), showcasing a significant magnetorheological effect. The numerical results of MRE’s stress and strain are in good agreement with the experimental results, and the fitness values exceed 70%, showcasing the effectiveness of the fractional derivative phenomenological model and the feasibility of the parameter identification method.

Conclusions

The prediction model can accurately characterize the dynamic mechanical behavior of the MRE under varying strain amplitudes, frequencies, and current intensities, laying a foundation for the engineering application of MRE.

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Acknowledgements

The authors thank the State Key Laboratory of Mechanical Behaviour in Traffic Engineering Structure and System Safety for providing equipments to the experiment. The present work is supported by the National Key R&D Program (2020YFB2007700), National Natural Science Foundation of China (Nos. 11790282, 12032017, 12172235, 12072208 and 52072249), the Opening Foundation of State Key Laboratory of Shijiazhuang Tiedao University (ZZ2021-13), and the Postgraduate Foundation of Hebei Province (CXZZBS2021112).

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Authors and Affiliations

  1. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang, China

    Peng Wang, Shaopu Yang, Yongqiang Liu & Yiwei Zhao

  2. School of Transportation, Shijiazhuang Tiedao University, Shijiazhuang, China

    Peng Wang & Yiwei Zhao

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  1. Peng Wang
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  2. Shaopu Yang
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Correspondence to Shaopu Yang.

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Wang, P., Yang, S., Liu, Y. et al. Experimental Study and Fractional Derivative Model Prediction for Dynamic Viscoelasticity of Magnetorheological Elastomers. J. Vib. Eng. Technol. 10, 1865–1881 (2022). https://doi.org/10.1007/s42417-022-00488-x

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  • DOI: https://doi.org/10.1007/s42417-022-00488-x

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