电流变响应过程中的FMP效应的研究

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3.0 李琳琳 2024-10-14 5 4 2.14MB 58 页 15积分

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摘要

电流变液体作为一种智能材料，其力学性能（粘度、剪切强度等）可以通过外

加电场而得到连续调控。电流变器件已广泛应用到自动控制、汽车制造、机械传动、

机器人等诸领域。

电流变效应的机理研究，是电流变技术基础研究的核心内容。现有的静电极化

模型和界面极化模型都强调电流变效应是由组成电流变液体二相成分的介电属性失

配（mismatch）所引起的。无论是介电失配还是传导失配，都与电流变液体的介电

常数有关。但这两个模型，是静态的，没有考虑到电流变液体在剪切场或压力梯度

场下的动力传输过程。研究表明，颗粒以及由颗粒形成的大的聚集体在强力场的作

用下（电场、剪切场、压力梯度场等）要重新取向，能导致液体的介电常数、介电损

耗和松弛频率的变化，这就是 FMP（flow-modified permittivity）效应。由于粒子极

化速率是有限的，FMP 效应必定对电流变效应产生重要影响。本论文围绕着以下几

个方面进行展开：

首先，本文详细地论述了 FMP 理论，并研究了流动场下，FMP 效应对两电流

变液颗粒间局部电场的影响。通过使用 Matlab 软件模拟得出，小介电失配比的情况

下,FMP 效应对局部电场的影响比较剧烈,大介电失配比时几乎不受影响。并且发现

FMP 效应与局部电场的关系并不是简单函数的问题。

其次，研究 FMP 效应对 Poiseuille 流动场下电流变液颗粒的动力学的影响。经

研究发现，FMP 效应对电流变响应的强度影响并不是很大，而对电流变颗粒运动位

置的影响较为明显。

另外，进行了有关 FMP 效应的电流变液响应的动力传输实验，实验采用的是

平行平板型和同心圆环型结构的电流变元件。通过理论和实验分析得出，电流变液

的动力传输过程中，形成的链状网络结构将俘获上游的粒子，在这个过程中，FMP

效应与俘获效应的耦合作用，共同对电介质的介电常数做出了贡献，宏观上表现为

力学性能的动态变化。并首次推导出有关 FMP 效应与俘获效应耦合的动力学初步模

型，提出用 FMP 技术来探测电流变液粒子成链信息的想法。

最后，本文进行了有关 FMP 效应的电流变液的动力学仿真。以经 FMP 效应修

正的静电极化模型为基础，采用分子动力学方法，对两平行极板间 Poiseuille 流场

下的电流变液进行仿真。发现 FMP 作用下，电流变液终态结构有所改变，结构演变

的时间和力学性能都受到了影响。并认证了刚进入界面或者界面中的孤立粒子被电

流变液结构聚集体俘获的可能性。通过对不同弛豫时间下，剪切应力与压力梯度的

关系曲线中，发现电流变效应的强度与粒子极化的弛豫时间关系密切，对于同种电

流变液材料，应该有一最佳介电松弛频率。

本文创新之处：提出电流变响应过程中的 FMP 效应与俘获效应的耦合作用，

以及基于此的“结构-力”动态耦合。该课题研究的意义在于将电流变效应机理研究

拓展到动力学领域，对电流变器件的设计具有指导意义，并对推动电流变技术的发

展有着积极作用。

关键词：电流变液体;电流变效应；FMP 效应;俘获效应；动力学仿真

ABSTRACT

Electrorheological fluids is an intelligent material, its mechanical performance

(such as viscosity, shearing strength and so on) can be regulated continuously by the

applied field. The electrorheological apparatus have been used in various fields such

as the automation, automobile manufacture, mechanical transmission, robot and so

on.

The research on the mechanism of electrorheological effect is the core content

of the basic study of electrorheological technology. Both the electrostatic

polarization model and the interface polarization model emphasize that the

electrorheological effect is caused by the mismatch of the two components of

electrorheological fluids. It relates with the dielectric constant of the

electrorheological fluids no matter what it is dielectric mismatch or conductive

mismatch. But both of the two models are static states, no considering the dynamic

transmission process of the electrorheological fluids in shear field or pressure

gradient field. The investigation indicate that the particles or the congregating which

built up by particles will reorient the new direction under strong field such as electric

field, shear field or pressure gradient field and so on, and this process can alter the

dielectric constant, the coefficient of dielectric loss and the relaxation frequency of

electrorheological fluids, this is called flow-modified permittivity (that is FMP

effect). Owing to the limit polarization speed of particles, the FMP effect plays an

important role on the influence to the electrorheological effect. This paper carries

through some aspect work about FMP effect as follows:

First of all, this article detailedly expatiates the FMP theory, studies the

influence of FMP effect to the local electric field of two particles in shear field, we

obtain the result that the action of FMP effect is great when it is in small dielectric

mismatch situation, it may be neglected in big dielectric mismatch situation by using

the Matlab software, and the relationship between FMP effect and the local electric

field is not a simple function.

Secondly, this article studies the kinetic influence of electrorheological particles

caused by FMP effect in poiseuille flow field, and finds that the action of FMP effect

is not prominence, but it indeed does great contributions to the location of the

particles.

In addition, this article carries through the electrorheological power

III

transmission experiment about FMP effect, the experiment uses the parallel-plate and

the annular structure electrorheological elements, according to the results of

experiments and theoretical analysis, we obtain that the chain-net structure will

capture the particles from the upstream in the response of the dynamic transmission

process, and during the process, the FMP effect and the capture effect both give

contributions to the dielectric constant of the particles, and it expresses the changes

of the mechanical performance on macroscopic. We get the control equation about

the coupling dynamics process of FMP effect and capture effect for the first time, and

propose the idea about getting information of the particles becoming chains by FMP

effect.

In the end, this article gives the results of dynamic simulation about FMP effect

in the response of electrorheological fluids in poiseuille flow field between two

parallel plates on the base of the modified polarization model by FMP, uses the

molecule dynamics method and finds that the structure of electrorheological fluids

will alter to some small extent by FMP effect, the time in which will alter too ，also

the mechanical performance suffer the influence, and testify the possibility that the

particles which enters the screen just now or the isolation particles in the screen are

captured by the electrorheological congregating. Through comparing the relation

curves of shear strength and pressure gradient under the different dielectric

relaxation time, we find that the electrorheological effect connects the relaxation

time of particle intimately, and there must be an optimal dielectric relaxation rate.

The innovation of this article is proposing the FMP effect and capture effect

coupling process basing on this “the structure - strength” the dynamic coupling of

electrorheological fluids. And the meaning of this research will develop the

electrorheological mechanism into the kinetic field, it has the guiding significance to

the design of electrorheological components and the active action for impelling the

developing of electrorheological technology.

Key words: Electrorheological fluids; Electrorheological effect; FMP effect;

Capture effect; Dynamic simulation

主要符号说明

：分散相相对介电常数，无量纲：连续相相对介电常数，无量纲

：真空介电常数，：微分算子

：电场强度，：粒子相对极化系数，无量纲

：修正的相关的极化率：偶极力矩，

：无剪切作用时的偶极力矩，：无穷大剪切场的偶极力矩，

，分别为分散相和连续相的电导率，

：作用力，N

：电流变流体密度，：压差，

：粘度，：俘获效应产生的压差增量，

，，：笛卡尔坐标轴：柱塞厚度，m

：动态屈服应力，：静态屈服应力，

，：柱塞流动模型的坐标值，m：粒子极化时间，s

：经 Maxwell-Wagner 极化过程的弛豫时

间，s

：剪切速率，

：外加电场频率，Hz ：标准化的剪切速率

：粒子旋转的角速率，rad/s ：与电场方向的夹角，

：与 x轴的夹角，即方位角，：粒子的堆积形式

：力矢量，N ，力的无量纲参数

，长度的无量纲参数，时间的无量纲参数

：电势，V ：介电失配比，无量纲

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摘要：

摘要电流变液体作为一种智能材料，其力学性能（粘度、剪切强度等）可以通过外加电场而得到连续调控。电流变器件已广泛应用到自动控制、汽车制造、机械传动、机器人等诸领域。电流变效应的机理研究，是电流变技术基础研究的核心内容。现有的静电极化模型和界面极化模型都强调电流变效应是由组成电流变液体二相成分的介电属性失配（mismatch）所引起的。无论是介电失配还是传导失配，都与电流变液体的介电常数有关。但这两个模型，是静态的，没有考虑到电流变液体在剪切场或压力梯度场下的动力传输过程。研究表明，颗粒以及由颗粒形成的大的聚集体在强力场的作用下（电场、剪切场、压力梯度场等）要重新取向，能导致液体的介电常数、介电损...

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