Vibration analysis of a 3-dimensional piping system conveying fluid by wave approach

Abstract

Vibration analysis of a piping system conveying fluid is investigated by employing the wave approach. In this paper, the inviscid fluid-dynamic forces acting on a pipe due to internal fluid flow are approximated by the plug-flow model with the slender-body theory. The straight pipe elements conveying fluid are formulated using a dynamic stiffness matrix in the frequency domain. The curved pipe sections are treated with a single curved pipe element utilizing the mixed methodology of the dynamic stiffness method and the transfer matrix method. The present approach is applied to the frequency response analysis of the 3-dimensional piping system conveying fluid which is composed of straight and curved pipe sections and is compared to the results from the finite-element formulations.