考虑与斜面相互作用的各向异性可磁化弹性体在电磁线圈磁场中的运动

IF 0.7 Q4 MECHANICS
D. I. Merkulov, D. A. Pelevina, I. I. Merkulova, V. A. Turkov, V. A. Naletova
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引用次数: 0

摘要

本文从实验和理论两方面研究了各向异性可磁化弹性体球体在电磁线圈磁场作用下受斜面限制时的运动。线圈中的电流依赖于平面的倾斜角,该倾斜角分离了物体静止或沿斜面运动的区域,或先沿斜面运动然后脱离它,或立即脱离斜面的区域,这是通过实验构建的。基于先前提出的数学模型,该模型考虑了物体(滚动、滑动)与斜面的相互作用,而不考虑物体的变形和表面粗糙度,计算了类似的依赖关系。实验与先前提出的理论有质的区别:在实验中,当线圈中的电流达到一定值时,水平表面上的物体开始运动,而根据先前提出的理论,物体在任意小的电流下开始运动。对先前提出的理论进行了改进:考虑了与表面粗糙度和物体与平面之间存在一定接触面积有关的支撑反应力矩。新模型较好地描述了实验结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Motion of a Body with Anisotropic Magnetizable Elastomer in a Magnetic Field of the Electromagnetic Coil Taking into Account the Interaction with the Inclined Plane

Motion of a Body with Anisotropic Magnetizable Elastomer in a Magnetic Field of the Electromagnetic Coil Taking into Account the Interaction with the Inclined Plane

In this paper the motion of a spherical body with anisotropic magnetizable elastomer under the action of the magnetic field of an electromagnetic coil is studied experimentally and theoretically when the motion of the body is limited from below by an inclined plane. The dependences of the current in the coil on the angle of inclination of the plane, which separate the region in which the body either is at rest, or moves along an inclined plane, or first moves along an inclined plane and then breaks away from it, or immediately breaks away from the inclined plane are constructed experimentally. Based on the previously proposed mathematical model, which takes into account the interaction of the body (rolling, sliding) with the inclined plane and does not take into account the deformation of the body and surface roughness, similar dependences are calculated. The qualitative difference between the experiment and the theory proposed earlier is shown: in the experiment the body on the horizontal surface begins to move when the current in the coil reaches a certain value, while according to the previously proposed theory, the body begins to move at arbitrarily small currents. An improvement of the previously proposed theory is carried out: the moment of support reaction associated with the roughness of surfaces and the presence of a certain area of contact between the body and the plane is taken into account. The new model is shown to better describe the experimental results.

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来源期刊
CiteScore
0.60
自引率
0.00%
发文量
9
期刊介绍: Moscow University Mechanics Bulletin  is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.
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