流体中における回転車軸の危険速度

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タイトル別名
  • The Critical Speed of a Shaft Rotating in Fluid
  • エキタイ チュウ ニ オケル カイテン シャジク ノ キケン ソクド

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The critical speed of a shaft rotating in fluid contained in a casing is differ from that in vacuum. In this paper the effects of fluid upon the critical speed are calculated and compared with the experimental results. Let ω be the angular velocity at which a shaft whirls with an eccentricity of d and Ω be the angular velocity at which the shaft revolves about its own axis. Then the critical speed in fluid (1) drops for the range [numerical formula] and has a minimum value at. [numerical formula] when [numerical formula] (2) also drops as ri/ro tends to unity at a certain value of ω/Ω in the above range (3) rises up for ω/Ω and (4) drops as the ratio of the density of the material of the shaft to that of the fluid becomes small, where ri is the radius of the shaft and ro is that of a casing. This calculated results well coincide with the results experimented at ω/Ω=1 and can be applied to about [numerical formula] When [numerical formula], the effects of fluid are negligibly small. Taking the gyroscopic effects into considerations, the frequency of the shaft drops as the outward force due to fluid acts on it.

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