管内脈動流による弾性送水管の非線形横振動　　管下端を弾性支持した場合

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  • Nonlinear Dynamics of Fluid Conveying Pipe with Pulsating Flow. In Case of an Elastically Supported End.
  • カン ナイ ミャクドウリュウ ニ ヨル ダンセイ ソウスイカン ノ ヒセンケイ ヨコ シンドウ カン カタン オ ダンセイ シジ シタ バアイ

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Flow-induced vibration of a fluid conveying pipe with a spring supported end, is examined theoretically and experimentally under the condition that the fluid velocity has a small pulsating comnonent. The parametric resonance of the lateral deflection of the pipe is occured due to the pulsating flow. In this paper, two first-order ordinary differential equations, which govern the amplitude and phase of the parametric resonance, are derived from the nonlinear nonself-adjoint partial differential equation by the Liapnov-Schmidt reduction. The effect of the spring support on the nonlinear stability is discussed with the reduced evolutional equation, which is obtained with the method of center manifold. Furthermore the experiments were conducted with the silicon rubber pipe conveying water. The lateral deflection of the pipe was measured by the image processing system which was based on the images from two CCD cameras. The typical feature of the parametric resonance, which was predicted in the theory, was confirmed qualitatively.

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