IHS ESDU Pipeline vibrations. Undamped natural vibration of pipelines. 88022

ESDU 88022 provides graphical data and introduces a program, ESDUpac A8822, for the estimation of the natural vibration characteristics of non-rigid planar piping systems, either empty or running full. The program calculates natural frequencies and corresponding mode shapes, and normal-mode generalised masses and stiffnesses of the transverse bending and axial modes of vibration, up to a chosen cut-off frequency. Lumped masses, to model in-line valves for example, and externally-acting elastic restraints in the plane of the system may be treated. The effects of bend flexibility may be included. The pipes may vary in cross-section, or be of different materials, but the fluid is assumed of constant density. The graphical data allow the estimation of the fundamental frequency of a single pipe, or of configurations with up to three right angle bends, subject to additional idealisations over those imposed by the computer model. Worked examples illustrate the use of both methods.