Numerical Modeling of Viscoelastic Pipelines Vibrations Considering External Forces

EasyChair Preprint 8710

Abstract

The vibration process of an extended section of a pipeline conveying medium  are studied in the paper using the well-known classical models of laminar flow of an ideal incompressible fluid and the Bernoulli – Euler rod bending of thedied in the paper  ev, . A mathematical model of linear problems on transverse vibrations of a rectilinear viscoelastic pipeline with a medium moving inside it is derived. A computational algorithm has been developed to solve the problems of the dynamics of a viscoelastic pipe conveying fluid flow. To describe the stress-strain dependence, the Boltzmann-Volterra integral model is used. Based on the developed computational algorithm, a package of applied computer programs has been created that allows conducting numerical studies of dynamic strain of a pipeline conveying fluid flow, based on the Winkler base, considering the viscosity properties of the structure material and the pipe bases, axial forces, internal pressure, resistance forces and external forces. When modeling linear problems, a number of new dynamic effects were investigated: it was found that an account of viscoelastic properties of the material and the pipeline base leads to a decrease in amplitude and frequency of pipe vibrations; it was revealed that with an increase in the frequency of external loads, the amplitude and frequency of pipe vibrations increase. It is shown that an increase in external load parameter leads to an increase in vibration amplitude, and to a decrease in vibration frequency.

Keyphrases: Mathematical modeling., Vibrations., Viscoelasticity., computational algorithm., external forces., pipeline.

@booklet{EasyChair:8710,
  author    = {Kholidaxon Komilova and Qamariddin Zhuvonov and A Tukhtabaev and K Ruzmetov},
  title     = {Numerical Modeling of Viscoelastic Pipelines Vibrations Considering External Forces},
  howpublished = {EasyChair Preprint 8710},
  year      = {EasyChair, 2022}}