A nonlinear magnetorheological elastomer model based on fractional viscoelasticity, magnetic dipole interactions, and adaptive smooth Coulomb friction
A nonlinear magnetorheological elastomer model based on fractional viscoelasticity, magnetic dipole interactions, and adaptive smooth Coulomb friction
复制标题
基于分数粘弹性、磁偶极相互作用和自适应平滑库仑摩擦的非线性磁流变弹性体模型
DOI：
10.1016/j.ymssp.2019.106438
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发表时间：
2020
影响因子：
8.4
通讯作者：
Nong Zhang
中科院分区：
文献类型：
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作者：
Xuan Bao Nguyen;Toshihiko Komatsuzaki;Nong Zhang
磁流变弹性体（MRE）是一种新兴的智能材料，在智能设备和结构领域得到了广泛的应用。为了设计基于磁磁共振的振动控制装置，它们的动态行为应该与宽带激励频率、幅值和外加磁场有关。本文建立了一个由分数粘弹性模型、磁偶极子模型和自适应光滑库仑摩擦模型三部分组成的非线性MRE模型。引入分数阶麦克斯韦模型，在较宽的频率范围内模拟MRE的动态特性。研究了相邻粒子的磁相互作用模型，并计算了粒子体积所对应的磁力。研究发现，相互作用力不仅影响剪切模量，还会影响颗粒与基体界面处的滑移。自适应光滑库仑摩擦用于模拟MRE的磁场依赖特性，准确地描述了材料在不同磁场强度下的宽振幅范围内的行为。用简单的方法对模型参数进行了估计，发现所提出的模型能较准确地反映MRE的特征。因此，该模型有望为基于磁流变的振动装置设计提供有利条件。
Magnetorheological elastomers (MRE) are emerging as smart materials for application in the field of the intelligent devices and structures. In order to design MRE-based vibration control devices, their dynamic behavior should be mathematically represented with respect to broadband excitation frequency, amplitude, and the applied magnetic field. In this study, a nonlinear MRE model consisting of three parts – a fractional viscoelasticity model, magnetic dipole model, and an adaptive smooth Coulomb friction model – is developed. The fractional Maxwell model with only three parameters was introduced to simulate the dynamic behavior of MRE in a wide frequency range. A magnetic interaction model for adjacent particles was investigated and the magnetic force corresponding to the particle volume was calculated. We found that the interaction force not only affects the shear modulus, but also affects slipping at the interface between the particle and matrix. The adaptive smooth Coulomb friction used to model the magnetic field-dependent properties of the MRE accurately described the behavior of the material over a wide range of amplitudes at different magnetic field strengths. The model parameters were estimated by a simple procedure and the proposed model was found to represent MRE characteristics accurately. Therefore, the new model is expected to be advantageous for designing MRE-based vibration devices.