Transverse vibrations of a two‑dimensional pipe system

Abstract

Transverse vibrations of the two dimensional system of pipes are investigated. The model of transverse vibrations of a two dimensional pipe system consisting from beams by taking the inertia of fluid filling the pipes into account is used and the eigenmodes are determined. Then the places of the pipes with small amplitudes of vibrations and with large amplitudes of vibrations for the eigenmodes are determined. After this the places where the amplitudes for several first eigenmodes are large are indicated. In those places it is recommended to perform measurements of transverse vibrations of the pipe system.