基于分数阶的磁流变液粘弹性研究  

Analyzing Magnetorheological Fluid's Viscoelasticity Using Fractional Order Calculus

作　　者：陈丙三[1] 刘成武[1] 江吉彬[1] 晏岱[1] 黄宜坚[2] 

机构地区：[1]福建工程学院机械与汽车工程学院,福州350108 [2]华侨大学机电学院,泉州362021

出　　处：《机械科学与技术》2013年第9期1378-1384,共7页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(51305079);福建省自然科学基金项目(2011J05119);福建工程学院科研启动项目(GY-Z10049)资助

摘　　要：针对磁流变液粘弹性力学建模参数多、难度大的问题,引入分数阶微积分理论对磁流变液测试装置建立分数阶模型,通过对系统"黑箱"模型的参数识别间接研究磁流变液体的粘弹特性。在自研发的流变仪上针对不同的磁流变液体进行正弦波电流加载实验,发现分数阶模型下的理论数据能够较好地拟合实验数据,且磁流变液的粘弹性可由模型参数获得。结果表明:分数阶系统模型可以从系统角度观察磁流变液体的阻尼特性,且分数阶算子与磁流变液物质参数有关。Because there are too many parameters and great difficulties in modeling the viscoelastic mechanics of magnetrheological fluid, we use the fractional order calculus to establish the fractional order model of the magne- trheological fluid test device and analyze the viscoelastic properties of the magnetrheological fluid by indentifying the parameters of the ＂black box＂ system model. A rheometer was developed for the magnetorheological fluid test de- vice by loading sine wave currents under various experimental conditions. The experimental results show that the theoretical data in the fractional order model are in good agreement with the experimental data, indicating that the fractional order calculus equation can well describe the damping characteristics of the magnetorheological fluid and that the fractional order operators are connected to its parameters.

关 键 词：磁流变液 分数阶微积分 粘弹性 分数阶模型 

分 类 号：TB381[一般工业技术—材料科学与工程]