Preview

Oil and Gas Studies

Advanced search

Assessment of the influence of the prestress state on the natural frequencies of vibrations of above-ground pipelines

https://doi.org/10.31660/0445-0108-2026-3-122-132

EDN: TNXIIZ

Abstract

In field pipeline construction for oil and gas fields located in permafrost conditions, above-ground pipeline installation on supports is predominantly used. A critical parameter in this case is the span between supports, which must be selected to avoid resonance conditions associated with vortex-induced vibrations caused by wind loading. This work aims to determine the span length between supports of pipe laid, and this value may be adjusted based on the assessment of wind-induced resonance. For this aim, the author of this article need to know the natural frequencies of the pipeline spans. To access the influence of the initial stress state of the pipeline on natural frequencies, researchers use a previously developed mathematical model based on the equation of transverse beam vibrations with axial force effects. The study shows that axial loads have the strongest impact: natural frequencies increase with the magnitude of axial force, regardless of whether the stress state is tensile or compressive. Transverse loads have a minor impact, but they should still be included for accurate frequency estimation.

About the Authors

D. A. Cherentsov
Tyumen Industrial University
Russian Federation

Dmitry A. Cherentsov, Candidate of Engineering Sciences, Associate Professor at the Department of Transportation of Hydrocarbon Resources

Tyumen



S. P. Pirogov
Tyumen Industrial University; Tyumen State University
Russian Federation

Sergey P. Pirogov, Doctor of Engineering Sciences, Professor at the Department of Applied Mechanics

Tyumen



References

1. Feodos'ev V. I. (1951). About the oscillations and stability of a pipe when liquid flows through it. Inzhenernyy sbornik. 1952;(10);169–170. (In Russ.).

2. Efimov A. A. (2008). Free fluctuations of underwater oil pipelines. Oil and Gas Studies. 2008;(1): 49–56. (In Russ.).

3. Ilyin V. P. Research of Free Oscillations of a Curved Pipe with a Fluid Flow. Advances in Structural Mechanics and Theory of Constructions. In the Collection of Scientific Papers of the Saratov State Technical University and the Russian Academy of Architecture and Construction Sciences. Saratov: SSTU; 2010. P. 88–93. (In Russ.).

4. Sokolov V. G., Bereznev A. V. Equations of motion for a curved section of a pipeline with a flowing liquid. Oil and Gas Studies. 2004;(6):76–80. (In Russ.).

5. Sokolov V. G., Bereznev A. V. Solution of the problem of free oscillations of curved sections of pipelines with flowing liquid. Oil and Gas Studies. 2005;(1): 80–84.(In Russ.).

6. Zaripov D. M. Nonlinear oscillations of the pipeline caused by internal fluid pressure. Trudy Instituta mekhaniki Ufimskogo nauchnogo tsentra RAN. 2016;(11):136–140. (In Russ.).

7. Mironov M. A., Pyatakov P. A., Andreev A. A. Forced flexural vibrations of a pipe with a liquid flow. Acoustical Physics. 2010;56(5): 684–692.

8. Shakiryanov M. M. Spatial chaotic vibrations of a pipeline in the continuous medium under the impact of alternating internal pressure. Izvestiya Ufimskogo nauchnogo tsentra RAN, 2016;(4):35–47. (In Russ.).

9. Ganiev R. F., Il’gamov M. A., Khakimov A. G., Shakiryanov M. M. (2017). Spatial aperiodic vibrations of the pipelines under transient internal pressure. Journal of Machinery Manufacture and Reliability, 2017;(2):3–12. (In Russ.).

10. Cherentsov D. A., Pirogov S. P., Dorofeyev S. M. Mathematical model of manometric spring in a viscous medium. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy. 2014;(7):234–241. (In Russ.).

11. Cherentsov D. A., Pirogov S. P. Determination of the natural frequencies of the above-ground sections of pipelines transporting an incompressible fluid. Oil and Gas Studies. 2023;(3):84–94. (In Russ.). https://doi.org/10.31660/0445-0108-2023-3-84-94

12. Cherentsov D. A., Pirogov S. P. The effect of the pumped liquid on the free oscillation frequencies of above-ground pipeline sections. Neftegaz.RU Business Journal. 2023;8(140):118–119. (In Russ.).

13. Cherentsov, D. A., Pirogov, S. P. Mathematical model of free vibrations in above-ground pipelines sections transporting multiphase fluid. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, 2024;10(4-40):68–78. https://doi.org/10.21684/2411-7978-2024-10-4-68-78

14. Cherentsov D. A., Pirogov S. P. Evaluation of the influence of multiphase fluid parameters on the natural frequencies of above-ground field pipelines. Oil and Gas Studies. 2025;(1):100–112. (In Russ.). https://doi.org/10.31660/0445-0108-2025-1-100-112

15. Cherentsov D. A., Pirogov S. P., Golosov S. M., Novoselova O. S. Investigation of the shapes and frequencies of free oscillations of above-ground pipeline sections. Neftegaz.RU Business Journal. 2025;11(168):44–119. (In Russ.).


Review

For citations:


Cherentsov D.A., Pirogov S.P. Assessment of the influence of the prestress state on the natural frequencies of vibrations of above-ground pipelines. Oil and Gas Studies. 2026;(3):122-132. (In Russ.) https://doi.org/10.31660/0445-0108-2026-3-122-132. EDN: TNXIIZ

Views: 178

JATS XML


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


ISSN 0445-0108 (Print)
ISSN 3033-8174 (Online)