Stability of rotating magnetic levitation

Fuente: arXiv
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Autori principali: Fan, Mingjun, Chen, Jinyu, Ji, Yongquan, Li, Long, Ma, Chichuan, Ma, Yu-Han
Natura: Preprint
Pubblicazione: 2025
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author Fan, Mingjun
Chen, Jinyu
Ji, Yongquan
Li, Long
Ma, Chichuan
Ma, Yu-Han
author_facet Fan, Mingjun
Chen, Jinyu
Ji, Yongquan
Li, Long
Ma, Chichuan
Ma, Yu-Han
contents Dynamical magnetic levitation has attracted broad interest in the realm of physics and engineering. The stability analysis of such system is of great significance for practical applications. In this work, we investigate the stable magnetic levitation of a floater magnet above a rotating magnet and copper board system. The conditions for stable levitation are analyzed through both theoretical modeling and experimental observation. This study focuses on the interplay between magnetic forces, damping effects from the copper board, and rotational dynamics. We derive the equilibrium conditions, perform stability analysis, and present phase diagrams in parametric spaces of rotation speed and damping coefficients. The theoretical predictions show qualitative agreement with experimental results, particularly in demonstrating how damping is essential for stable levitation and how the stability region depends on the geometric and magnetic parameters of the system.
format Preprint
id arxiv_https___arxiv_org_abs_2507_07478
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Stability of rotating magnetic levitation
Fan, Mingjun
Chen, Jinyu
Ji, Yongquan
Li, Long
Ma, Chichuan
Ma, Yu-Han
Classical Physics
Applied Physics
Dynamical magnetic levitation has attracted broad interest in the realm of physics and engineering. The stability analysis of such system is of great significance for practical applications. In this work, we investigate the stable magnetic levitation of a floater magnet above a rotating magnet and copper board system. The conditions for stable levitation are analyzed through both theoretical modeling and experimental observation. This study focuses on the interplay between magnetic forces, damping effects from the copper board, and rotational dynamics. We derive the equilibrium conditions, perform stability analysis, and present phase diagrams in parametric spaces of rotation speed and damping coefficients. The theoretical predictions show qualitative agreement with experimental results, particularly in demonstrating how damping is essential for stable levitation and how the stability region depends on the geometric and magnetic parameters of the system.
title Stability of rotating magnetic levitation
topic Classical Physics
Applied Physics
url https://arxiv.org/abs/2507.07478