Oscillatory instability of electromagnetically levitated solid bodies

Janis Priede, Gunter Gerbeth

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


This paper presents a linear-stability analysis of small-amplitude oscillations of a solid body suspended in an alternating magnetic field. An original theory is developed for an arbitrary configuration of the magnetic field. Stability of a solid sphere in an axisymmetric linear magnetic field is calculated analytically. Oscillations of the sphere are found to develop as the frequency of the field exceeds a certain critical threshold relative to the characteristic diffusion time of the magnetic field in the sphere. The critical frequency for the onset of oscillations in a linear magnetic field coincides with the critical frequency for the spin-up instability in a uniform magnetic field. The growth rate of oscillations attains a maximum at some frequency above the threshold and approaches zero at high frequencies.

Original languageEnglish
Pages (from-to)354-357
Number of pages4
JournalIEEE Transactions on Magnetics
Issue number1 PART 2
Publication statusPublished - Jan 2000
Externally publishedYes


  • Electromagnetic forces
  • Magnetic lévitation
  • Stability

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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