Fluctuations of pipelines of gas-containing liquids under changing bearing conditions

Cover Page

Cite item

Abstract

The authors deal with the vibration of the pipeline that occurs during the transportation of a gas-containing liquid due to the uneven distribution of gas accumulation along the length of the pipeline, which produces pulsating movements of the center of gravity of the moving liquid, when the conditions for supporting the middle part change. The solution is constructed using the calculation scheme of a beam lying on an elastic foundation described by the Winkler model. To assess the impact on the stress-strain state of the beam of the sudden exclusion of the elastic foundation under the middle part of the beam, the circular frequencies and forms of natural transverse vibrations of the beam that occur in the absence of disturbing forces are determined. The given solution of the problem of vibrations of a pipe, through which a gas-containing liquid is transported, with a change in the conditions of support of the middle part of the beam, can be used to predict the durability of the pipe.

About the authors

Yevgeny V. Leontiev

Main State Expertise of Russia

Author for correspondence.
Email: e.leontyev@gge.ru
ORCID iD: 0000-0002-8805-8615

Candidate of Technical Sciences, Head of the Construction Solutions Department

42 Bolshaya Yakimanka St, bldg 1-2, Moscow, 119049, Russian Federation

Vladimir I. Travush

Urban Planning Institute of Residential and Public Buildings

Email: travush@mail.ru
ORCID iD: 0000-0003-1991-7233

Vice President of the Russian Academy of Architecture and Construction Sciences, Doctor of Technical Sciences, Professor, Chief Designer - Deputy General Director for Science

5 Nizhnii Susalnyi Pereulok, bldg 5A, Moscow, 105064, Russian Federation

References

  1. Novatsky V. Dynamics of structures. Moscow: Gosstroizdat Publ.; 1963. (In Russ.)
  2. Bondarenko V.M., Travush V.I. Fluctuations of pipelines during transportation of gas-containing liquids. Academia. Architecture and Construction. 2017;(1):101–103. (In Russ.)
  3. Akbarly R.S. Waves propagation in the fluid flowing in an elastic tube, considering viscoelastic friction of surrounding medium. International Journal on Technical and Physical Problems of Engineering. 2018;35:39–42.
  4. Ovchinnikov I.G., Ovchinnikov I.I., Bashirzade S.R. Forecasting the behavior of pipeline structures in complex soil and geological conditions. Part 1. Generalized model of pipeline deformation. Naukovedenie. 2016;8(4): 1–26. (In Russ.) Available from: http://naukovedenie.ru/PDF/60TVN416.pdf (accessed: 21.09.2022).
  5. Akulenko L.D., Korovina L.I., Nesterov S.V. Natural vibrations of a pipeline section. Izvestiya Rossiiskoi Akademii Nauk. Mekhanika Tverdogo Tela. 2011;(1):172–187. (In Russ.)
  6. Akulenko L.D., Ivanov M.I., Korovina L.I., Nesterov S.V. The main properties of natural oscillations of an extended pipeline section. Izvestiya Rossiiskoi Akademii Nauk. Mekhanika Tverdogo Tela. 2013;(4):119–134. (In Russ.)
  7. Akulenko L.D., Georgievsky D.V., Nesterov S.V. The spectrum of transverse oscillations of a section of a moving rod under the influence of a longitudinal load. Izvestiya Rossiiskoi Akademii Nauk. Mekhanika Tverdogo Tela. 2015;(2):139–144. (In Russ.)
  8. Bereznev A.V. Influence of internal hydrostatic pressure on the frequencies of free oscillations of a curved section of the pipeline. Oil and Gas Studies. 2011;(3):77–80. (In Russ.)
  9. Travush V.I., Gordon V.A., Kolchunov V.I., Leontiev Ye.V. Dynamic effects in the beam on an elastic foundation caused by the sudden transformation of supporting conditions. International Journal for Computational Civil and Structural Engineering. 2018;14(4):27–47. https://doi.org/10.22337/2587-9618-2018-14-4-27-47
  10. Travush V.I., Gordon V.A., Kolchunov V.I., Leontiev Ye.V. Mathematic model of a beam partially supported on elastic foundation. International Journal for Computational Civil and Structural Engineering. 2019;15(2):144–158. https://doi.org/10.22337/2587-9618-2019-15-2-144-158

Copyright (c) 2022 Leontiev Y.V., Travush V.I.

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies