Dynamical Behavior of a Levitated Body with Magnetic Guides (Parametrically Excitation of the Subharmonic Type due to the Vertical Motion of Levitated Body)

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Nonlinear oscillations of a levitated body, which is moved in a horizontal plane and is guided by magnetic forces on both sides, are examined theoretically and experimentally. The magnetic forces acting on the body are calculated exactly by applying Coulomb's law over an infinitely small area of magnets, and by integrating about four magnetic poles of two magnetic plates. The parametrically excited oscillations of the body, due to the relative vertical motion between the body and the magnetic guides, are studied theoretically by using the above magnetic forces. The experiments are performed with a simple experimental apparatus. As a main result, the oscillation with a fractional-harmonic pair, as predicted by the theory, is shown experimentally in the special case when two natural frequencies of the body are nearly commensurable.

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詳細情報 詳細情報について

  • CRID
    1573950401839131264
  • NII論文ID
    110002505140
  • NII書誌ID
    AA10680610
  • ISSN
    09148825
  • 本文言語コード
    en
  • データソース種別
    • CiNii Articles

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