Parametric fluctuations of underground and elevated oil pipeline
https://doi.org/10.31660/2782-232X-2023-3-48-60
Abstract
Based on the use of the assumptions of the theory of closed cylindrical shells by Vasiliy Z. Vlasov, the authors suggested an analytical method for the study of dynamic instability of pipelines. The nonstationary internal pressure induced by the pumping equipment of the pumping stations is considered as the stimulation source. This pressure excites the longitudinal compressive force, the elastic soil resistance reaction, and the velocity of the flowing fluid. The result of the proposed method is inequalities that take into account the damping properties of the ground and the above factors. By means of these inequalities, it can be determined the upper and lower limits of the region depending on the excitation frequency of the pumping station. And the estimation of the stability loss is reduced to the determination of the value of the natural pipeline frequency. If a point falls into the constructed region, the appearance of parametric resonance is inevitable. Comparison of the instability areas for elevated and underground installation depending on the longitudinal force parameter showed that the shift of the area for the underground method is towards the increase of the longitudinal force parameter.
About the Authors
I. O. Razov
Industrial University of Tyumen
Russian Federation
Russian Federation
Igor O. Razov, Candidate in Engineering, Associate Professor, Associate Professor at the Base Department JSC «Mostostroy-11»
Tyumen
V. G. Sokolov
Industrial University of Tyumen
Russian Federation
Russian Federation
Vladimir G. Sokolov, Doctor in Engineering, Associate Professor, Professor at the Department of Structural Mechanics
Tyumen
A. V. Dmitriev
Industrial University of Tyumen
Russian Federation
Russian Federation
Andrey V. Dmitriev, Candidate in Engineering, Associate Professor at the Department of Structural Mechanics
Tyumen
A. V. Bereznev
Industrial University of Tyumen
Russian Federation
Russian Federation
Alexey V. Bereznev, Candidate in Engineering, Associate Professor at the Department of Structural Mechanics
Tyumen
References
1. Barros, R. С., & Pereira, M. (2004). A parametric study on the comprehensive analysis of pipelines under generalized actions. 13th World Conference on Earthquake Engineering, Vancouver, B. C., Canada, August 1-6, Paper No 2311. (In English). Available at: https://www.iitk.ac.in/nicee/wcee/article/13_2311.pdf (accessed 11.08.2023).
2. Jin, J. D., & Song, Z. Y. (2005). Parametric resonances of supported pipes conveying pulsating fluid. Journal of Fluids and Structures, (20(6)), pp. 763-783. (In English). DOI 10.1016/j.jfluidstructs.2005.04.007.
3. Marzani, A., Mazzotti, M., Viola, E., Vittori, P., & Elishakoff, I. (2012). Formulation for dynamic instability of fluid-conveying pipe on nonuniform elastic foundation. Mech based des struct mech, (40), pp. 83-95. (In English). DOI 10.1080/15397734.2011.618443.
4. McDonald, R., & Namachchivaya, N. (2005). Pipes conveying pulsating fluid near a 0:1 resonance: Global bifurcations. Journal of Fluids and Structures, (21), pp. 665-687. (In English). DOI 10.1016/j.jfluidstructs.2005.07.015.
5. Bahaadini, R., Dashtbayazi, M. R., Hosseini, M., & Khalili-Parizi, Z. (2018). Stability analysis of composite thin-walled pipes conveying fluid. Ocean Engineering, (160), pp. 311-323. (In English). DOI 10.1016/j.oceaneng.2018.04.061.
6. Vasina, V. N. (2007). Parametric oscillations of a pipeline section with a flowing liquid. Bulletin of the MEI, (1), pp. 1-11. (In Russian).
7. Yang, H.-Zh., Wang, Zh., & Xiao, F. (2016). Parametric resonance of submerged floating pipelines with bi-frequency parametric and vortex-induced oscillations excitations. Ships and Offshore Structures, (12), pp. 1-9. (In English). DOI 10.1080/17445302.2016.1171590.
8. Zhou, L., Chen, F., & Chen, Y. (2015). Stability and bifurcation analysis of a pipe conveying pulsating fluid with combination parametric and internal resonances. Mathematical and Computational Applications, (20), pp. 200-216. (In English). DOI 10.19029/mca-2015-017.
9. Panda, L., & Kar, R. (2007). Nonlinear dynamics of a pipe conveying pulsating fluid with parametric and internal resonances. Nonlinear Dynamics, (49), pp. 9-30. (In English). DOI 10.1007/s11071-006-9100-6.
10. Sokolov, V., Razov, I., & Ogorodnova, Y. (2016). Effect of internal pressure on parametric vibrations and dynamic stability of thin-walled ground pipeline larger diameter connect with elastic foundation. MATEC Web of Conferences, 73:04002. (In English). Available at: https://www.researchgate.net/publication/306076693 (accessed 07.08.2023). DOI 10.1051/matecconf/20167304002.
11. Ilgamov, M. A., & Shakiryanov, M. M. (2020). Forced and parametric vibrations of a pipe. Proceedings of the RAS Ufa scientific centre, (3), pp. 5-11. (In Russian). DOI 10.31040/2222-8349-2020-0-3-5-11.
12. Valiev, M. I., Zholobov, V. V., & Tarnovsky, E. I. (2013). Self-induced and parametric vibrations of pipeline curvilinear areas in pulsative motion of low viscous liquid. Science and Technologies: Oil and Oil Products Pipeline Transportation, (2(10)), pp. 48-54. (In Russian).
13. Dmitriev, A., Sokolov, V., & Bereznyov, A. (2020). Influence of longitudinal force and internal pressure on the frequency of free vibrations of an underground oil pipeline. E3S Web of Conferences, (217), 01010. (In English). Available at: https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/77/e3sconf_ersme2020_01010.pdf (accessed 07.08.2023). DOI 10.1051/e3sconf/202021701010.
14. Dmitriev, A. V., Sokolov, V. G., & Bereznev, A. V. (2020). Frequency characteristics of a large-diameter pipeline with a fluid flow in an elastic ground environment, taking into account internal pressure. The Eurasian Scientific Journal, 12(6). Available at: https://esj.today/PDF/05SAVN620.pdf (accessed 07.07.2023). (In Russian).
15. Bogolyubov, N. N., & Mitropol'skiy, Yu. A. (1974). Asimptoticheskie metody v teorii nelineynykh kolebaniy. Moscow, Nauka Publ., 503 p. (In Russian).
16. Sokolov, V. G., & Razov, I. O. (2016). Free vibrations of thin-walled large-diameter gas pipelines at semi-underground laying. Bulletin of Civil Engineers, (6(59)), pp. 114-120. (In Russian).
17. Razov, I. O. (2015). Ensions and displacements on the contact surface of the large diameter ground-surface pipeline. Bulletin of Civil Engineers, (3(50)), pp. 105-108. (In Russian).
Review
For citations:
Razov I.O., Sokolov V.G., Dmitriev A.V., Bereznev A.V. Parametric fluctuations of underground and elevated oil pipeline. Architecture, Construction, Transport. 2023;(3):48-60. (In Russ.) https://doi.org/10.31660/2782-232X-2023-3-48-60
Views:
16
Email this article 