ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Udalov P. P., Lukin A. V., Popov I. A., Shtukin L. V., Poletkin K. V. Stability of motion and drift of a rigid body in a non-contact inductive electromagnetic suspension. Izvestiya VUZ. Applied Nonlinear Dynamics, 2026, vol. 34, iss. 2, pp. 247-267. DOI: 10.18500/0869-6632-003203, EDN: OEJBDW

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
531.37
DOI: 
10.18500/0869-6632-003203
EDN: 
OEJBDW

Stability of motion and drift of a rigid body in a non-contact inductive electromagnetic suspension

Autors: 
Udalov Pavel Pavlovich, Peter the Great St. Petersburg Polytechnic University
Lukin Alexey Vyacheslavovich , Peter the Great St. Petersburg Polytechnic University
Popov Ivan Alekseevich, Peter the Great St. Petersburg Polytechnic University
Shtukin Lev Vasilevich, Peter the Great St. Petersburg Polytechnic University
Poletkin Kirill Vladimirovich, Hefei University of Technology
Abstract: 

Purpose of this work is to study the nonlinear dynamics and stability of the motion of a conducting thin ring in the electromagnetic field of two circular inductors.

Methods. The analysis is performed using asymptotic methods of nonlinear mechanics. Numerical methods of bifurcation theory are used to study the average position of a levitating body in the space of key suspension parameters over the period of a rapidly oscillating field.

Results. Assuming a slow evolution of the average position of a levitating body, the conditions for the occurrence and parameters of drift are determined. The stability of the levitation regime is investigated in a refined asymptotic formulation.

Conclusion. It is shown that taking into account the possibility of slow evolution of the average position of a levitating body leads to the formulation of a stability condition related to the relationship between the dissipation of mechanical and electrical nature.
 

Key words: 
Induction suspension
electromagnetic suspension
electromagnetic induction
levitation
nonlinear dynamics
stability of oscillations
method of multiple scales
Acknowledgments: 
The work was supported by the Russian Science Foundation, grant no. 25-21-00402, https://rscf.ru/project/25-21-00402/.
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Received: 
04.06.2025
Accepted: 
27.11.2025
Available online: 
27.11.2025
Published: 
31.03.2026
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