基于分数阶导数的磁流变弹性体参数模型

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。

THE PARAMETER MODEL OF MAGNETORHEOLOGICAL ELASTOMERS BASED ON FRACTIONAL DERIVATIVE

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.