走行路の不整による磁気浮上物体の上下・ピッチング振動

概要

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The bouncing and pitching oscillations of a levitated body, which is assumed to be moved in a vertical plane and suspended by the magnetic force of a guideway, are examined theoretically and experimentally. A pair of nonlinear differential equations with periodic variable coefficients and nonhomogeneous terms, which govern the oscillations of the levitated body due to the guideway roughness, are derived. Using the above equations, it is shown that the oscillations are parametrically excited by the nonlinear component of the magnetic force even if the levitated body is symmetrical about the horizontal axis passing through the center of gravity. Also, the steady-state response of the oscillations under the parametric excitation is studied in more detail. Furthermore, the experimental results are shown to be in good quantitative agreement with the theoretical ones.
一般社団法人日本機械学会の論文
1988-12-20