Численное моделирование колебаний трубы с потоком жидкости

Abstract

The paper considers a mathematical model and a computational method for determining oscillations of a straight section of a viscoelastic pipe with a fluid flow. In the study of pipeline oscillations with a gas-liquid flowing inside, a model in the form of cylindrical shells and a two-parameter model of the viscoelastic Pasternak base are used. To describe the viscoelastic properties, hereditary Boltzmann-Volterra theory of viscoelasticity is used. The effects of the parameters of Pasternak's bases, the influence of singularity in the heredity nuclei and the geometric parameters of the pipeline on the vibrations of structures with viscoelastic properties are numerically investigated.