Abstract
Spatial behavior of the curved pipe conveying fluid is examined theoretically and experimentally under the condition that fluid velocity has a small pulsating component. First-order ordinary differential equations, which govern the amplitudes and phases of the non-planar pipe vibration, are derived from the nonlinear nonself-adjoint partial differential equations by the liapnov-schmidt reduction.The forced vibration of the in plane motion and the parametric excitation of the out-of-plane vibration exist depending on the value of the pulsating frequency. Furthermore the experiments were conducted with the silicon rubber pipe conveying water. The spatial displacement 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 pipe vibration, which has been predicted in the theory, was confirmed qualitatively.
