磁流变阻尼器的分数阶Bingham模型研究  

Fractional derivative Bingham model of MR damper

作　　者：刘晓梅[1] 李洪友[1] 黄宜坚[1] 

机构地区：[1]华侨大学机电学院,福建厦门361021

出　　处：《机电工程》2015年第3期338-342,共5页Journal of Mechanical & Electrical Engineering

基　　金：国家自然科学基金资助项目(61374144);福建省自然科学基金资助项目(2012J01213)

摘　　要：为解决磁流变阻尼器的Bingham模型在拟合阻尼力-位移关系时"具有较高精度,但是无法准确描述阻尼力-速度的滞后"的问题,基于传统Bingham模型进行了改进,应用分数阶微分形式的Bingham模型,更加准确地拟合了速度-阻尼力的滞回特性。在改进的模型中以分数阶导数代替了传统模型中位移的一阶导数,既能够描述磁流变液屈服后的粘性剪切流动,又包含磁流变液体在低剪切速率下未屈服时的弹性变形。对一种磁流变阻尼器进行了实验,比较传统Bingham模型和改进分数阶模型阻尼力-位移和阻尼力-速度拟合的精度,分析分数阶微分项阶数与控制电流及阻尼力-速度滞后特性的关系。实验结果表明,分数阶微分形式的Bingham模型拟合磁流变阻尼器力-位移和力-速度关系,其精度均较传统Bingham模型有明显提高。In order to describe the velocity-damping force delay more accurately,an improvement based on traditional Bingham model of MR damper was proposed using the fractional derivation in place of integral derivation. The fractional derivative Bingham model could exactly describe both the shearing flow after MR fluid yielding and the elastic deformation at low shear rate before yielding with less parameter and clear physical meaning. Experiments were carried out to compare the fitting precision on damping force-displacement and damping force-velocity between integral and fractional derivative Bingham model. The relationship between derivative order,control current and lagging of damping force-velocity was also discussed. Experiment results indicate that the precision of MR Damper fractional derivative Bingham model is improved obviously on fitting relationship of displacement-force and velocity-force.

关 键 词：磁流变液 阻尼器 Bingham模型 分数阶微分 

分 类 号：O361.3[理学—流体力学] TH113.1[理学—力学]