Mathematical model of free vibrations in above-ground pipelines sections transporting multiphase fluid

About the authors:

Dmitry A. Cherentsov, Cand. Sci. (Tech.), Associate Professor, Associate Professor of the Department of Transport of Hydrocarbon Resources, Industrial University of Tyumen, Tyumen, Russia; cherentsovda@bk.ru, https://orcid.org/0000-0001-8072-6183

Sergey P. Pirogov, Dr. Sci. (Tech.), Professor, Professor of the Department of Applied Mechanics, Industrial University of Tyumen, Tyumen, Russia; Professor of the Department of Forestry, Woodworking and Applied Mechanics, Northern Trans-Ural State Agricultural University, Tyumen, Russia; piro-gow@yandex.ru, https://orcid.org/0000-0001-5171-8942

Abstract:

In construction areas with prevailing permafrost, above-ground pipeline installation is often used. Regulatory documents determine the span between supports; however, this value’s correction should be possible to account for the vortex excitation caused by the wind load. This paper proposes a method for finding the length of the section between supports depending on the wind load that causes vibrations of the pipeline. Its implementation requires determining the frequency of the external voltage. The article describes a coupling that allows one to determine the natural vibrations of above-ground pipelines, accounting at stationary flow conditions for the internal pressure and phase velocity of the pumped multiphase liquid. A mathematical model developed on the rod theory accounting for a transporting multiphase fluid is presented. A numerical solution was carried out using the Bubnov–Galerkin method, and enough members were found that require preservation in an approximate state.

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Pirogov, S. P., Cherentsov, D. A., Voronin, K. S., & Yakupov, A. U. (2020). Simulation of the stress-strain state of the working body of the system for the development of the pipeline trench. IOP Conference Series: Materials Science and Engineering, 952(1), Article 012011. https://doi.org/10.1088/1757-899X/952/1/012011