Buckling and Postbuckling Behavior of a Flexible Pipe Conveying Fluid

概要

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Buckling and postbuckling behavior of a flexible clamped-hinged pipe which is handing vertically, due to an internal flow, are examined theoretically and experimentally. The equations governing the axial flow of the fluid and the motion of the pipe, which are coupled through the nonlinear terms, are derived. Assuming that the deflection of the flexible pipe is infinitesimal, the critical velocity of the fluid, above which the pipe buckles, is determined by linearizing the equations mentioned above. Under the supercritical condition, a stable equilibrium solution with finite deflection is obtained analytically. Also a solution, which is available for large deflection, is obtained numerically. The latter solution agrees well with the former solution in the case of small but finite deflection. Furthermore an experiment was undertaken by using a pipe model conveying water. The experimental results are shown to be in good agreement with the theoretical solutions.
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