A macroscopic viscoelastic model of magnetorheological elastomer with different initial particle chain orientation angles based on fractional viscoelasticity
A macroscopic viscoelastic model of magnetorheological elastomer with different initial particle chain orientation angles based on fractional viscoelasticity
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DOI：
10.1088/1361-665x/ac4575
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发表时间：
2022-02-01
影响因子：
4.1
通讯作者：
Li, Yan
中科院分区：
文献类型：
--
作者：
Fan, Jiahao;Yao, Jianfei;Li, Yan
本文提出了一种基于分数阶导数模型的磁流变弹性体宏观粘弹性建模方法，用于描述不同初始颗粒链取向角下磁流变弹性体的动态粘弹性特性。粒子链与外加磁场之间的夹角被用作描述粒子链方向性的指标。设计并制备了不同初始倾角的磁流变样品。采用平行板流变仪测定了不同MRE样品在剪切工作模式下的动态粘弹性能。分析了不同初始倾角磁流变弹性体在不同应变幅值、频率和磁感应强度试验条件下的动态粘弹特性。试验结果表明，磁流变液中颗粒链的初始倾角对磁流变液的动态粘弹性能有显著影响。用多项式函数描述了初始颗粒链取向角与磁致伸缩模量之间的关系。基于分数阶导数模型建立了磁致模量的唯象模型。采用非线性最小二乘法辨识模型参数。模型预测值与实验结果吻合较好，表明该模型能较好地描述磁流变弹性体的动态粘弹特性。
In this paper, a macroscopic viscoelastic modeling method for magnetorheological elastomer (MRE) based on fractional derivative model is presented to describe the dynamic viscoelastic properties of MRE with different initial particle chain orientation angles. The angle between the particle chain and the applied magnetic field is used as an indicator to describe the directionality of the particle chain. MRE samples with different initial inclination angles have been designed and fabricated. The dynamic viscoelastic properties of different MRE samples under shear working mode were measured using a parallel plate rheometer. The dynamic viscoelastic properties of MRE with different initial inclination angles are analyzed under the test conditions of different strain amplitude, frequency and magnetic flux density. The test results show that the initial inclination angle of the particle chain in the MRE has a significant effect on the dynamic viscoelastic properties of the MRE. A polynomial function is used to describe the relationship between the initial particle chain orientation angle and the magneto-induced modulus of MRE. A phenomenological model of magneto-induced modulus is established based on the fractional derivative model. The model parameters are identified using the nonlinear least square method. The predicted values of the model are in good agreement with the experimental results, indicating that the model can well describe the dynamic viscoelastic properties of MRE.