Nonlinear Stability of the Lateral Vibration of a Fluid-Conveying Pipe

本文在超临界条件下，从理论上和实验上研究了悬臂式输液管道的非线性横向振动。在超临界条件下，由于内部流动超过临界速度，平面和非平面管道的振动都是自激的。第二。实验采用硅橡胶输水管道。利用图像处理系统对输液管道的空间行为进行了观测，并对输液管道上端沿水平方向周期性激励的情况进行了检测。

In this paper, the nonlinear lateral vibrations of a cantilevered pipe, which is hung vertically with an end mass and conveys fluid, are examined theoretically and experimentally under the supercritical condition that planar and nonplanar pipe vibrations are self-excited due to an internal flow above the critical velocity.First, the effect of an end mass on the pipe vibration is discussed theoretically with the nonlinear coupled equations of the lateral deflections of the pipe. Second. the experiments were conducted with a silicon rubber pipe conveying water. The spatial behaviors of the fluid-conveying pipe were observed by means of the image-processing system based on the images from two CCD cameras.Furthermore it is examined for the case that the upper end of the pipe is excited periodically in a horizontal direction.