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A. G. Khakimov

DETERMINING THE PARAMETERS OF A PIPE SYSTEM CONTAINING FLUID FLOW BY NATURAL FREQUENCIES OF FLEXURAL VIBRATIONS

The investigation deals with natural frequencies of flexural vibrations in a pipe system containing pressurized fluid flow and clamped at both ends. It has been found that an increase in the axial load results in higher natural frequencies of pipe flexural vibrations. The research has shown that an increase in the pipe wall thickness results in lower natural frequencies of flexural vibrations under tensile axial loading and higher natural frequencies of flexural vibrations under compressive axial loading. It has also been found that an increase in fluid density or pressure within the pipe system results in lower natural frequencies of pipe flexural vibrations.

Using two natural frequencies of pipe flexural vibrations, we can determine axial load and pipe wall thickness, or axial load and fluid density within the pipe system, or fluid density within the pipe system and pipe wall thickness, or fluid pressure and density within the pipe system, or fluid pressure and pipe wall thickness.

The investigation outcomes can be applied for assessing axial load and pipe wall thickness, or axial load and fluid density within a pipe system, or fluid density within a pipe system and pipe wall thickness, or fluid pressure and density within the pipe system, or fluid pressure and pipe wall thickness using two natural frequencies of flexural vibrations.

Acknowledgements: The study was financed by the federal budget according to state assignment No. 0246-2019-0088) and supported by RFBR grant No. 18-01-00150.

Keywords: pipe system, flexural vibrations, natural frequencies, axial load, wall thickness, fluid density, pressure, primal and inverse problems

Bibliography:

1. Sidorov B.V., Martynov S.A. Recommended Technology for the Diagnostics of Underground Pipelines. Kontrol. Diagnostika, 2005, no. 12, pp. 18–19. (In Russian).

2. Gladwell G.M.L. Inverse problems in vibration, Dordrecht, Boston, London, Kluwer Academic Publishers, 2004.

3. Guangming Dong, Jin Chen. Vibration analysis and crack identification of a rotor with open cracks. Japan Journal of Industrial and Applied Mathematics, 2011, vol. 28, no. 1, pp. 171–182. DOI: 10.1007/s13160-011-0031-3.

4. Akop’yan V.A., Cherpakov A.V., Rozhkov E.V., and Solov’ev A.N. Integral indicator for damage identification in rod-shaped structural components. Kontr. Diagnost., 2012, no. 7, pp. 50–56. (In Russian).

5. Yunwei Zhang, Guozheng Yan. Detection of gas pipe wall thickness based on electromagnetic flux leakage. Russian Journal of Nondestructive Testing, 2007, vol. 43, iss. 2, pp 123–132. DOI: 10.1134/S1061830907020088.

6. Kulikov V.V. The thickness of tube's wall in pressure. Stroitelstvo neftyanykh i gazovykh skvazhin na sushe i na more, 2009, no 7, pp. 6–8. (In Russian).

7. Kucheryavyi V.I., Mil’kov S.N. Reliability analysis of a compression section of a gas pipeline with the presence of longitudinal cracks. Journal of Machinery Manufacture and Reliability, 2011, vol. 40, no. 3, p. 290–293. DOI: 10.3103/S1052618811030095.

8. Novgorodov D.V., Rybalko V.G., Shleyenkov A.S. The stress state instability factor and its effect on the growth of stress corrosion cracking defects. Diagnostics, Resource and Mechanics of materials and structures, 2018, iss. 6, pp. 249–254. DOI: 10.17804/2410-9908.2018.6.249-254.

9.Novgorodov D.V., Rybalko V.G., Shleyenkov A.S., and Surkov A.Yu. A study of gas pipeline emergency failure. Diagnostics, Resource and Mechanics of materials and structures, 2018, iss. 6, pp. 237–248. DOI: 10.17804/2410-9908.2018.6.237-248.

10. Chirikov V.A., Dimitrov D.M., Kostov K.P. Universal experimental relation for natural friquencies of transversal vibration of stubby free-free beams. Diagnostics, Resource and Mechanics of materials and structures, 2015, iss. 4, pp. 42–51. DOI: 10.17804/2410-9908.2015.4.042-051.

11. Khakimov A.G. Determination of fluid density and inner pressure in a pipeline using natural frequencies of flexural vibrations. Problemy sbora, podgotovki i transporta nefti i nefteproduktov, 2014, no. 1, pp. 37–43. (In Russian).

12. Prochnost. Ustoichivost. Kolebaniya. Spravochnik. T. 3 [Strength. Stability. Oscillations. Handbook, Birger I.A. and Panovko Ya.G., eds., vol. 3]. Moscow, Mashinostroenie Publ., 1968. (In Russian).

13. Bolotin V.V. Vibratsii v tekhnike. Spravochnik v 6 tomakh. T. 1. Kolebaniya lineinykh sistem [Vibrations in Technology: A Handbook. Vol. 1. Vibrations of Linear Systems]. Moscow, Mashinostroenie Publ., 1999, 504 p. (In Russian).


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Founder:  Institute of Engineering Science, Russian Academy of Sciences (Ural Branch)
Chief Editor:  S.V. Smirnov
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