Issue |
E3S Web Conf.
Volume 377, 2023
3rd International Conference on Energetics, Civil and Agricultural Engineering (ICECAE 2022)
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|
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Article Number | 02003 | |
Number of page(s) | 7 | |
Section | Civil Engineering | |
DOI | https://doi.org/10.1051/e3sconf/202337702003 | |
Published online | 03 April 2023 |
Simulation of oscillations of composite pipelines conveying pulsating fluid
1
National Research University TIIAME,
Tashkent,
Uzbekistan
2
Termiz State University,
Termiz,
Uzbekistan
3
Andijan Machine-building Institute,
170100
Andijan,
Uzbekistan
* Corresponding author: komilova591@mail.ru
The article considers the problem of vibrations of straight sections of the pipeline based on the theory of beams. A mathematical model of the dynamics of a straight viscoelastic pipe with a pulsating fluid is developed. The speed of a pulsating fluid is assumed to be harmonically fluctuating and has the following form: V(t) = υ0 (1 + μ1cosϖt). The mathematical model of the problem is simplified using the Bubnov-Galerkin approach to the solution of a set of common integro-differential equations with time as an independent variable. A numerical approach based on the removal of the singularity in the relaxation kernel of the integral operator is used to solve integro-differential equations. A numerical approach for the unknowns was used to get the system of algebraic equations. The Gauss technique is used to resolve a set of algebraic equations. The dynamics of fluid-transporting viscoelastic pipes have difficulties that can be solved computationally.
© The Authors, published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0/).
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