Mathematical modeling parametric vibrations of the pipeline with pulsating fluid flow | Zendy

B.A. Khudayarov | Zendy; Ф.Ж. Тураев | Zendy

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Mathematical modeling parametric vibrations of the pipeline with pulsating fluid flow

Author(s) -

B.A. Khudayarov,

Ф.Ж. Тураев

Publication year - 2020

Publication title -

iop conference series earth and environmental science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.179

H-Index - 26

eISSN - 1755-1307

pISSN - 1755-1315

DOI - 10.1088/1755-1315/614/1/012103

Subject(s) - mathematics , ordinary differential equation , relaxation (psychology) , kernel (algebra) , algebraic equation , differential equation , fluid dynamics , singularity , galerkin method , viscoelasticity , mathematical analysis , mechanics , physics , finite element method , nonlinear system , psychology , social psychology , combinatorics , quantum mechanics , thermodynamics

A mathematical model of the dynamics of a straight viscoelastic pipe conveying pulsating fluid has been developed in the paper. Using the Bubnov-Galerkin method, a mathematical model of the problem is reduced to solving a system of ordinary integro-differential equations, where time is an independent variable. Solution of integro-differential equations is determined by a numerical method based on the elimination of a singularity in the relaxation kernel of an integral operator. A system of algebraic equations is obtained according to the numerical method for unknowns. To solve the system of algebraic equations, the Gauss method is used. A computational algorithm is developed for solving the problems of the dynamics of viscoelastic pipelines conveying fluid.

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