内部流による弾性送水管の非線形横振動 : 管下端がばね支持されている場合の非線形安定性(機械力学,計測,自動制御)

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タイトル別名
  • Nonlinear Stabilities of Lateral Vibrations of a Pipe Conveying Fluid : In Case of a Pipe with a Spring Supported End(Mechanical Systems)
  • 内部流による弾性送水管の非線形横振動(管下端がばね支持されている場合の非線形安定性)
  • ナイブリュウ ニ ヨル ダンセイ ソウスイカン ノ ヒセンケイ オウ シンドウ カン カタン ガ バネ シジ サレテ イル バアイ ノ ヒセンケイ アンテイセイ

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The lateral vibration of a cantilevered flexible pipe with a spring supported end mass, which is self-excited by an internal fluid flow, is examiend theoretically and experimentally. It is well known that the velocity of the internal flow is near the critical value, above which the flutter-type instability occurs in the lateral vibration of the pipe. First, the complex amplitude equations are derived from the basic equation of the lateral pipe vibrations. The amplitudes of lateral pipe vibrations may undergo either a supercritical pitchfork bifurcation or a subcritical pitchfork bifurcation, depending on the spring constant of the spring support. Furthermore the displacements of the pipe were measured by the image processing system, which was based on the images from two CCD cameras. The typical feature of the self-excited pipe vibration, as predicted by the theory, was confirmed qualitatively.

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