Quasi-static Stability of Microscale Contactless Inductive Suspension with Electrostatic Stiffness Control Loop

The present paper is devoted to analytical investigation of the nonlinear dynamics of a conductive rigid ring in a contactless electromagnetic suspension. Using Lagrange-Maxwell formalism of nonlinear electro-mechanics and asymptotic methods of perturbation theory, the equilibrium positions of an in...

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Bibliographic Details
Published inJournal of applied and computational mechanics Vol. 11; no. 2; pp. 416 - 424
Main Authors Pavel Udalov, Ivan Popov, Alexei Lukin, Lev Shtukin, Kirill Poletkin
Format Journal Article
LanguageEnglish
Published Shahid Chamran University of Ahvaz 01.04.2025
Subjects
accelerometer
electromagnetic suspension
gravimeter
levitation
nonlinear dynamics
vibration
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ISSN2383-4536
DOI10.22055/jacm.2024.46862.4610

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Summary:The present paper is devoted to analytical investigation of the nonlinear dynamics of a conductive rigid ring in a contactless electromagnetic suspension. Using Lagrange-Maxwell formalism of nonlinear electro-mechanics and asymptotic methods of perturbation theory, the equilibrium positions of an inertial body in an alternating current magnetic field are found, taking into account the action of an electrostatic control system for the effective stiffness of the suspension. Suspension stability is investigated in mechanical and electromagnetic parameters space. Approximate analytical expressions for small oscillations of the ring near the stable equilibrium are obtained.
ISSN:2383-4536
DOI:10.22055/jacm.2024.46862.4610