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Irrigation and Melioration

Abstract

The article studies the parameters of a pulsating fluid flow that lead to vibration in the pipeline. A mathematical model has been developed for the vibration of a viscoelastic pipeline based on the theory of beams when a pulsating fluid flows through it. Using the Bubnov-Galerkin method, based on a polynomial approximation of deflections, the problem is reduced to the study of systems of ordinary integro-differential equations, the solution of which is found by a numerical method. A computational algorithm has been developed for solving the problems of oscillation of composite pipelines with a flowing pulsating fluid. The influence of the singularity in the nuclei of heredity on the vibrations of structures with viscoelastic properties is studied numerically. It is shown that with an increase in the viscosity parameter of the pipeline material, the critical flow rate decreases. It was revealed that an increase in the value of the pulsation frequency of the liquid and the excitation coefficient leads to a decrease in the critical velocity of the liquid flow.

First Page

27

Last Page

33

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