Geodesic
Trajectory of a body made of an anisotropic magnetizable elastomer with various limiters in the field of a current loop
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2024), pp. 46-53 
D. I. Merkulov; D. A. Pelevina; V. A. Turkov; V. A. Naletova. Trajectory of a body made of an anisotropic magnetizable elastomer with various limiters in the field of a current loop. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2024), pp. 46-53. http://geodesic.mathdoc.fr/item/VMUMM_2024_3_a6/
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     author = {D. I. Merkulov and D. A. Pelevina and V. A. Turkov and V. A. Naletova},
     title = {Trajectory of a body made of an anisotropic magnetizable elastomer with various limiters in the field of a current loop},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {46--53},
     year = {2024},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2024_3_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, the motion of a spherical body with anisotropic magnetizable elastomer in a viscous liquid under the action of a magnetic field of the coil with current is investigated. A mathematical model of the movement of such a body, taking into account various limiters of its movement, is proposed. The case when the body is rigidly fixed at the end of the rod, which is pivotally fixed on the axis of the current coil, is considered. And also the case when the movement of the body is limited from below by a horizontal surface and the body can roll or slide on this surface is presented. The trajectories of the body movement from the position on the axis of the coil when the magnetic field is turned on are constructed in the case when the anisotropy vector at the initial moment is not parallel to the vector of the magnetic field. In this case, an anisotropic body (unlike an isotropic one) can deviate from the axis of the coil. The deviation of the body from the axis of the coil is calculated for various parameters of the problem.

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