Mathematical model of a linear motor controlled by a periodic magnetic field considering dry and viscous friction
Mathematical model of a linear motor controlled by a periodic magnetic field considering dry and viscous friction
复制标题
DOI：
10.1016/j.apm.2020.08.021
复制
发表时间：
2021
影响因子：
5
通讯作者：
K. Zimmermann;I. Zeidis;V. Lysenko
中科院分区：
文献类型：
--
作者：
K. Zimmermann;I. Zeidis;V. Lysenko
本文论述了一种利用磁流变液（MRF）的可控机械性能的驱动概念。生物学的操作原理是基于利用各向异性摩擦的爬行，如蠕虫，和非牛顿流体，如蜗牛。位于滑块和两个滑块之间的磁流变液在功能上与驱动系统相关，以产生平移运动。利用受控磁场通过改变MRF的性质来改变驱动系统中的摩擦条件。扩展的摩擦力模型考虑了干摩擦力，沿着考虑了粘性摩擦力。在这种情况下，除了粘性摩擦系数的比率之外，还需要引入另外两个参数：在没有和存在磁场的情况下的干摩擦系数的比率，以及粘性摩擦和干摩擦的特征力的比率。这些参数可以细化控制线性电机行为的数学模型。利用非线性力学的渐近方法，当摩擦力与滑块的驱动力相比假定为较小时，得到滑块的平均速度的表达式。理论结果在样机上得到了实验验证。
The paper deals with a drive concept that uses the controllable mechanical properties of a magnetorheological fluid (MRF). The biologically inspired operating principle is based on crawling using anisotropic friction, as of worms, and non-Newtonian fluids, as of snails. The MRF located between a slider and two slide-blocks is functionally relevant for the drive system to generate a translational motion. A controlled magnetic field is utilized to change the friction conditions in the drive system by varying the properties of the MRF. An extended friction model takes the dry friction into account, along with the viscous friction. In this case, apart from the ratio of the coefficients of viscous friction, it is necessary to introduce two more parameters: the ratio of the coefficients of dry friction in the absence and presence of the magnetic field, and the ratio of the characteristic forces of viscous and dry frictions. These parameters allow refining the mathematical model that governs the behavior of a linear motor. Using asymptotic methods of non-linear mechanics, an expression for the average velocity of the slider is obtained for the case when the friction force is assumed to be small in comparison with the driving force of the slide-blocks. The theoretical results are verified experimentally on a prototype.