非対称回転体の動的不安定振動

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  • On the Dynamically Unstable Vibrations of the Shaft Carrying an Unsymmetrical Rotating Body
  • ヒタイショウ カイテンタイ ノ ドウテキ フアンテイ シンドウ

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In the lateral vibrations of a shaft at a rotating speed ω carrying an unsymmetrical rotating body, a free vibration of frequency pi always appears with another free vibration having frequency p^-i= 2ω-pi. Coexistence of pi and p^-i results in not only the unstable vibrations of frequency ω appearing about the major critical speeds where the relation pi=p^-i holds but the unstable vibrations with frequencies pi and pj near the rotating speed ωd where the relation pi=pj (i≠j), i.e., pi+pj=2ω is satisfied. The range of unstable region in which these unstable vibrations take place increases as the degree of unsymmetry of the rotor increases. According as the polar moment of inertia becomes larger, the rotating speed where the unstable vibrations cccur becomes higher and the range of the unstable region increases. For the vibratory shaft system mounted by an unsymmetrical rotating body, regardless of dimensions of shaft and rotor, there is always only one unstable region of this kind.

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