Geodesic
Motion of an anisotropic magnetizable elastomer in the field of a coil with current taking into account the interaction with inclined surface
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2023), pp. 39-44 
D. I. Merkulov; D. A. Pelevina; V. A. Turkov; V. A. Naletova. Motion of an anisotropic magnetizable elastomer in the field of a coil with current taking into account the interaction with inclined surface. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2023), pp. 39-44. http://geodesic.mathdoc.fr/item/VMUMM_2023_1_a5/
@article{VMUMM_2023_1_a5,
     author = {D. I. Merkulov and D. A. Pelevina and V. A. Turkov and V. A. Naletova},
     title = {Motion of an anisotropic magnetizable elastomer in the field of a coil with current taking into account the interaction with inclined surface},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {39--44},
     year = {2023},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2023_1_a5/}
}
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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 such a body motion taking into account the interaction (rolling, sliding) with the inclined plane is proposed. Calculated trajectories of the body movement from the initial position on the coil axis when the magnetic field is turned on are plotted. Parameters are determined at which the movement along the inclined plane is realized. Maximum deviation of the body from the coil axis for various problem parameters is calculated.

[1] Hu W., Lum G.Z., Mastrangeli M., Sitti M., “Smallscale soft-bodied robot with multimodal locomotion”, Nature, 554 (2018), 81–85

[2] Kim Y., Yuk H., Zhao R., Chester Sh.A., Zhao X., “Printing ferromagnetic domains for untethered fast-transforming soft materials”, Nature, 558 (2018), 274–279

[3] Merkulov D.I., Pelevina D.A., Turkov V.A., Vinogradova A.S., Naletova V.A., “Mobile robots with magnetizable materials in uniform magnetic fields”, Acta Astronautica, 181 (2021), 579–584

[4] Demin A.A., “Magnitnye svoistva anizotropnogo namagnichivayuschegosya elastomera”, Tr. konf.-konkursa molodykh uchenykh, Izd-vo Mosk. un-ta, M., 2019, 82–89

[5] Demin A.A., Merkulov D.I., Pelevina D.A., Kalmykov S.A., Naletova V.A., “Determination of parameters of anisotropic magnetizable elastomer”, Magnetohydrodynamics, 55:3 (2019), 347–352

[6] Ivanov A.O., Elfimova E.A., “Ravnovesnye magnitnye svoistva ansamblya superparamagnitnykh nanochastits s uchetom mezhchastichnogo magnitodipolnogo vzaimodeistviya”, 18-ya Mezhdunar. Plesskaya nauch. konf. po nanodispersnym magnitnym zhidkostyam, FGBOUVO “Ivanovskii gosudarstvennyi energeticheskii universitet im. V.I. Lenina”, Ples, 2018, 86–90

[7] Landau L.D., Lifshits E.M., Elektrodinamika sploshnykh sred, Nauka, M., 1982

[8] Khappel Dzh., Brenner G., Gidrodinamika pri malykh chislakh Reinoldsa, Per. s angl., Mir, M., 1976

[9] Petrov A.G., Analiticheskaya gidrodinamika, Fizmatlit, M., 2009