Simulation of oscillations of composite pipelines conveying pulsating fluid
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 ha...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2023-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/14/e3sconf_icecae2022_02003.pdf |
| _version_ | 1797850751477743616 |
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| author | Komilova Kholidakhon Shakhobiddinova Zardila Ismoilov Davronbek Ismailov Astan |
| author_facet | Komilova Kholidakhon Shakhobiddinova Zardila Ismoilov Davronbek Ismailov Astan |
| author_sort | Komilova Kholidakhon |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-09T19:05:25Z |
| format | Article |
| id | doaj.art-0ad01c8358a645a893a5bfca32182223 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-04-09T19:05:25Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-0ad01c8358a645a893a5bfca321822232023-04-07T09:00:01ZengEDP SciencesE3S Web of Conferences2267-12422023-01-013770200310.1051/e3sconf/202337702003e3sconf_icecae2022_02003Simulation of oscillations of composite pipelines conveying pulsating fluidKomilova Kholidakhon0Shakhobiddinova Zardila1Ismoilov Davronbek2Ismailov Astan3National Research University TIIAMENational Research University TIIAMETermiz State UniversityAndijan Machine-building InstituteThe 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.https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/14/e3sconf_icecae2022_02003.pdf |
| spellingShingle | Komilova Kholidakhon Shakhobiddinova Zardila Ismoilov Davronbek Ismailov Astan Simulation of oscillations of composite pipelines conveying pulsating fluid E3S Web of Conferences |
| title | Simulation of oscillations of composite pipelines conveying pulsating fluid |
| title_full | Simulation of oscillations of composite pipelines conveying pulsating fluid |
| title_fullStr | Simulation of oscillations of composite pipelines conveying pulsating fluid |
| title_full_unstemmed | Simulation of oscillations of composite pipelines conveying pulsating fluid |
| title_short | Simulation of oscillations of composite pipelines conveying pulsating fluid |
| title_sort | simulation of oscillations of composite pipelines conveying pulsating fluid |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/14/e3sconf_icecae2022_02003.pdf |
| work_keys_str_mv | AT komilovakholidakhon simulationofoscillationsofcompositepipelinesconveyingpulsatingfluid AT shakhobiddinovazardila simulationofoscillationsofcompositepipelinesconveyingpulsatingfluid AT ismoilovdavronbek simulationofoscillationsofcompositepipelinesconveyingpulsatingfluid AT ismailovastan simulationofoscillationsofcompositepipelinesconveyingpulsatingfluid |