The method of sequential pumping of various oil products separated by a diaphragm seal is one of the most common and cost-effective. However, due to the difference in densities, significant oscillations of oil pipelines occur in their overhead part. There are practically no studies of such oscillations and their impact on the strength and stability of overhead oil pipelines, which makes this topic relevant. The aim of this article was to determine the oscillations of the oil pipeline axis and the bending moments that occur at this time, without taking into account the inertial forces of the pumped oil products for a single-span beam crossing without longitudinal deformation compensators. A mathematical model of the sequential pumping of two different oil products through a pipeline was developed. The problem was solved by decomposing the desired solution into a series of eigenfunctions of the problem of free oscillations of the overhead part of the oil pipeline using the Fourier method. As a result of calculations based on the obtained solution to the problem, it was found that in the overhead part of the oil pipeline, during the sequential pumping of various oil products, there are familiar oscillations of the oil pipeline axis relative to the abscissa axis of the deflection function of the oil pipeline axis. When the end cross-sections of the diaphragm seal enter the overhead part of the pipeline, the largest deflections occur in one of the middle sections of the part in tenths of a second. The bending moments have the highest values by modulus. The deflection curves of the oil pipeline axis and the bending moment curves for these moments of time practically coincide. It was found that the largest modulus bending moments of the pipeline during the sequential pumping of two different oil products are significantly higher than the bending moments of the same oil products when they are pumped separately. The obtained results of the study will be useful in practice for designers of pipelines that will be used to pump oil products with different densities
Received 30.11.2023
Revised 27.03.2024
Accepted 31.05.2024
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