Non-Planar Vibrations of a Pipe Conveying Fluid with a Spring-Supported End

Abstract

A theoretical and experimental investigation was conducted into the spatial behavior of a flexible pipe through which fluid flows and which is built-in at one end and has an asymmetric spring-support at the other end. Planar, non-planar and beating type vibrations occur in such a system and depend on the flow velocity and spring coefficients. Equations governing amplitudes and the phase were derived and used to clarify numerically the above specific cases. Corresponding actual pipe displacements were then measured experimentally using an image processing system employing two CCD cameras. Qualitative agreement was demonstrated between the experimental and theoretical results.