| 基于分数阶导数的磁流变弹性体参数模型 |
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| 引用本文： | 朱俊涛, 徐赵东. 基于分数阶导数的磁流变弹性体参数模型[J]. 工程力学, 2012, 29(8): 45-49,79. DOI: 10.6052/j.issn.1000-4750.2010.10.0779 |
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| 作者姓名： | 朱俊涛 徐赵东 |
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| 作者单位： | 东南大学混凝土及预应力混凝土结构教育部重点实验室,南京 210096 |
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| 基金项目： | 国家自然科学基金项目(61004064);国家863高科技计划项目(2009AA03Z106);江苏省普通高校研究生科研创新计划资助项目(CXZZ-0160) |
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| 摘 要： | 磁流变弹性体宏观力学行为是基体粘弹性和磁致模量变化的综合反映,建立能够准确模拟其力学特性的参数模型是设计磁流变弹性体装置所必需的。因此,该文利用建立粘弹性材料参数模型的VFD(粘弹性分数阶导数)元件及弹簧元件与表述磁致效应的非线性弹簧元件,建立了磁流变弹性体的磁致粘弹性参数模型,分析了频率、磁场强度和分数阶数对该模型动态性能的影响,结果表明该模型能够反映磁流变弹性体磁致效应对其力学性能的影响,且该模型仅需少量参数就能在较宽频率范围内更好地模拟真实的试验性能。
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| 关 键 词： | 磁流变弹性体 参数模型 磁致效应 VFD元件 磁致模量 |
| 收稿时间： | 2010-10-27 |
| 修稿时间： | 2010-12-23 |
THE PARAMETER MODEL OF MAGNETORHEOLOGICAL ELASTOMERS BASED ON FRACTIONAL DERIVATIVE |
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| ZHU Jun-tao, XU Zhao-dong. THE PARAMETER MODEL OF MAGNETORHEOLOGICAL ELASTOMERS BASED ON FRACTIONAL DERIVATIVE[J]. Engineering Mechanics, 2012, 29(8): 45-49,79. DOI: 10.6052/j.issn.1000-4750.2010.10.0779 |
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| Authors: | ZHU Jun-tao XU Zhao-dong |
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| Affiliation: | Reinforced Concrete and Prestressed Concrete Key Laboratory of Education Ministry, Southeast University, Nanjing 210096, China |
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| Abstract: | The macro-mechanical behavior of magnetorheological elastomers is the comprehensive reflection of both the matrix viscoelastic and the change of magnetic modulus.It is necessary to establish the parameter model for designing magnetorheological elastomers devices,which can accurately simulate the mechanical properties.In the paper,the magnetic viscoelastic parameter model of magnetorheological elastomers is established using the VFD(Viscoelastic Fractional Derivative) element,spring element and the nonlinear spring element related to the magnetic effect.Then,the effects of frequency,magnetic field strength and the influence of fractional order to the dynamic properties of the model are analyzed.The results show that the model can reflect the magnetic effect of the magnetorheological elastomers on the mechanical properties,and only a few parameters will be able to simulate the true experimental properties successfully within a wide frequency range. |
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| Keywords: | magnetorheological elastomers parameter model magnetic-induced effect VFD element magnetic-induced modulus |
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