The complex technique for modelling vibroacoustic characteristics of pipeline system with damping vibration protection devic?

The present paper describes a numeric technique based on the solving non-stationary differential equation system of interaction between solid and oscillating fluid in a pipeline. The finite element model of pipe base on used space-time joint type elements. The joint type of finite element is used for modeling vibroacoustical interaction between solid and oscillating fluid. Time response of the pipeline vibration are resulted from this technique. The boundary conditions for fluid - parameters combination of complex pressure oscillation amplitude of pipeline inlet section, complex pressure oscillation amplitude of pipeline outlet section, complex velocity oscillation amplitude of pipeline inlet section, complex velocity oscillation amplitude of pipeline outlet section, load impedance, input impedance. The boundary conditions for solid are pipeline supports. The pipeline vibration insulator with MR material damper consider like supporting for pipeline and modeling by differential equation system. This equation system is substituted in the weighted residuals and Galerkin methods approximating equations like a boundary conditions. The developed technique allows calculate vibroacoustical characteristics of complex configuration pipeline system with the different type of units.