Skip to main content
SpringerLink
Log in

Motion of an Anisotropic Magnetizable Elastomer in the Field of a Coil with Current Taking into Account the Interaction with Inclined Surface

  • Published:
Moscow University Mechanics Bulletin Aims and scope

Abstract

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. The calculated trajectories of the body movement from the initial position on the coil axis when the magnetic field is turned on are plotted. The parameters are determined at which the movement over the inclined plane occurs. The maximum deviation of the body from the coil axis for various problem parameters is calculated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3

REFERENCES

  1. W. Hu, G. Zh. Lum, M. Mastrangeli, and M. Sitti, ‘‘Smallscale soft-bodied robot with multimodal locomotion,’’ Nature 554, 81–85 (2018). https://doi.org/10.1038/nature25443

    Article  ADS  Google Scholar 

  2. Yo. Kim, H. Yuk, R. Zhao, Sh. A. Chester, and X. Zhao, ‘‘Printing ferromagnetic domains for untethered fast-transforming soft materials,’’ Nature 558, 274–279 (2018). https://doi.org/10.1038/s41586-018-0185-0

    Article  ADS  Google Scholar 

  3. D. I. Merkulov, D. A. Pelevina, V. A. Turkov, A. S. Vinogradova, and V. A. Naletova, ‘‘Mobile robots with magnetizable materials in uniform magnetic fields,’’ Acta Astronaut. 181, 579–584 (2021). https://doi.org/10.1016/j.actaastro.2020.11.052

    Article  ADS  Google Scholar 

  4. A. A. Demin, ‘‘Magnetic properties of anisotropic magnetizable elastomer,’’ in Tr. Conf.-Competition of Young Scientists (Izd-vo Mosk. Univ., Moscow, 2019), pp. 82–89.

  5. A. A. Demin, D. I. Merkulov, D. A. Pelevina, S. A. Kalmykov, and V. A. Naletova, ‘‘Determination of parameters of anisotropic magnetizable elastomer,’’ Magnetohydrodynamics 55, 347–352 (2019). https://doi.org/10.22364/mhd.55.3.7

    Article  Google Scholar 

  6. A. O. Ivanov and E. A. Elfimova, ‘‘Equilibrium magnetic properties of an ensemble of superparamagnetic nanoparticles with account for interparticle magnetodipole interaction,’’ in 18th Int. Ples Sci. Conf. on Nanodisperse Magnetic Liquids, Ples, 2018, Ed. by Yu. B. Kazakov (Ivanovsk. Gos. Energ. Univ. im. V.I. Lenina, Ivanovo, 2018), pp. 86–90.

  7. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Nauka, Moscow, 1982; Pergamon Press, Oxford, 2013).

  8. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics: with Special Application to Particulate Media (Martinus Nijhoff, The Hague, 1983). https://doi.org/10.1007/978-94-009-8352-6

    Book  MATH  Google Scholar 

  9. A. G. Petrov, Analytical Hydrodynamics (Fizmatlit, Moscow, 2009).

    Google Scholar 

Download references

Funding

The work is supported by the Russian Science Foundation, project no. 20-71-10002.

Author information

Authors and Affiliations

  1. Laboratory of Physical and Chemical Hydrodynamics, Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia

    D. I. Merkulov, V. A. Turkov & V. A. Naletova

  2. Chair of Hydromechanics, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    D. A. Pelevina

Authors
  1. D. I. Merkulov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. A. Pelevina
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. A. Turkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. V. A. Naletova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to D. I. Merkulov, D. A. Pelevina, V. A. Turkov or V. A. Naletova.

Ethics declarations

The authors declare that they have no conflicts of interest.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Merkulov, D.I., Pelevina, D.A., Turkov, V.A. et al. Motion of an Anisotropic Magnetizable Elastomer in the Field of a Coil with Current Taking into Account the Interaction with Inclined Surface. Moscow Univ. Mech. Bull. 78, 1–6 (2023). https://doi.org/10.3103/S002713302301003X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S002713302301003X

Keywords:

Search

Navigation