分数阶在磁流变液性能研究中的应用  

Application of Fractional Calculus on the Study of Magnetorheological Fluids' Characterization

作　　者：陈丙三[1] 黄宜坚[1] 

机构地区：[1]华侨大学机电工程学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2009年第5期487-491,共5页Journal of Huaqiao University(Natural Science)

基　　金：福建省高新技术开发研究计划重点项目(2005H035)

摘　　要：将分数阶微积分引入Maxwell粘弹性流体的本构方程中,建立修正的Maxwell模型以描述磁流变液.通过贮能模量和耗能模量曲线,研究磁流变液的阻尼特性.在不同的磁流变液体组成参数实验条件下,理论的贮能模量和耗能模量能够与实验结果很好拟合,且模型阶数有着明显变化.研究表明,分数阶的本构方程能够很好地描述磁流变液的阻尼特性,方程分数阶算子与磁流变液物质参数有关.Fractional calculus is introduced to study the constitutive equation of Maxwell viscoelasticity fluids, and establish the modified Maxwell model to describe the magnetorheological fluids （MR fluids for short）. The curves for storage modulus and loss modulus are used here for the analysis of the damping characteristics of magnetorbeological fluids. Under the different experiment conditions about the constituent parameters for MR fluids, the theoretical storage modulus and loss modulus can fit the corresponding experimental ones well, and the orders of the model are changed remarkably. It is indicated that the fractional calculus consititutive equation is available to describe the damping characteristics, and the fractional operators are connected to the parameters of the MR fluids.

关 键 词：磁流变液 分数阶 本构方程 Maxwell模型 

分 类 号：TB381[一般工业技术—材料科学与工程] TB112[理学—数学]