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Effect of an Internal Attached Mass on Nonlinear Pipeline Oscillations

  • MECHANICS OF MACHINES
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Abstract

In this paper, we study the bending oscillations of a two-support pipeline under the effect of internal variable pressure. The transported medium in the pipeline consists of fluid and gas phases. The gas flow in the axial direction is assumed to occur inside a fluid circular cylindrical region, while the flow rate is neglected. Changes in pressure in the fluid due to the accelerated movement of the pipeline are taken into account. Numerical and approximate analytical solutions of the equation of steady bending oscillations are obtained.

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REFRENCES

  1. Il’gamov, M.A., Kolebaniya uprugikh obolochek, soderzhashchikh zhidkost’ i gaz (Fluctuations of Elastic Shells Containing Liquid and Gas), Moscow: Nauka, 1969.

  2. Svetlitskii, V.A., Mekhanika truboprovodov i shlangov (Pipe and Hose Mechanics), Moscow: Mashinostroenie, 1982.

  3. Ganiev, R.F., Nizamov, Kh.N., and Derbukov, E.I., Volnovaya stabilizatsiya i preduprezhdenie avarii v truboprovodakh (Wave Stabilization and Accident Prevention in Pipelines), Moscow: MGTU, 1996.

  4. Akulenko, L.D., Ivanov, M.I., Korovina, L.I., and Nesterov, S.V., Basic properties of natural vibrations of an extended segment of a pipeline, Mech. Solids, 2013, vol. 48, no. 4, p. 458.

    Article  Google Scholar 

  5. Ilgamov, M.A. and Ratrout, R., Large deflection of superconducting cable, Int. J. Non-Lin. Mech., 1999, vol. 34, no. 5, p. 869.

    MATH  Google Scholar 

  6. McDonald, R.J. and Namchchivaya, N.S., Pipes conveying pulsating fluid near a 0:1 resonance: Global bifurcations, J. Fluids Struct., 2005, vol. 21, p. 665.

    Article  Google Scholar 

  7. Panda, L.N. and Kar, R.C., Nonlinear dynamics of a pipe conveying pulsating fluid with combination, principal parametric and internal resonances, J. Sound Vibr., 2008, vol. 309, p. 375.

    Article  Google Scholar 

  8. Li, S., Karney, B.W., and Liu, G., FSI research in pipeline systems—a review of the literature, J. Fluids Struct., 2015, vol. 57, p. 277.

    Article  Google Scholar 

  9. Ganiev, R.F. and Il’gamov, M.A., Pipe elastic response to internal shock pressure, Dokl. Akad. Nauk, 2016, vol. 470, no. 2, p. 162.

    MathSciNet  Google Scholar 

  10. Il’gamov, M.A., Dynamics of a pipeline under the action of internal shock pressure, Mech. Solids, 2017, vol. 52, no. 6, p. 663.

    Article  Google Scholar 

  11. Ganiev, R.F., Il’gamov, M.A., Khakimov, A.G., and Shakir’yanov, M.M., Spatial vibrations of a pipeline with elastically deflecting support under the action of internal shock pressure, J. Mach. Manuf. Reliab., 2018, vol. 47, no. 7, pp. 479.

    Article  Google Scholar 

  12. Shakir’yanov, M.M., Spatial nonlinear oscillations of a pipeline under the action of internal sock pressure, Mech. Solids, 2019, vol. 54, no. 8, p. 1189.

    Article  Google Scholar 

  13. Chisholm, D., Two-Phase Flow in Pipelines and Heat Exchangers, London, U.K.: G. Godwin, 1983.

    Google Scholar 

  14. Korshak, A.A., Zabaznov, A.I., Novoselov, V.V., Matrosov, V.I., and Klyuk, B.A., Truboprovodnyi transport nestabil’nogo gazovogo kondensata (Pipeline Transport of Unstable Gas Condensate), Moscow: VNIIOENG, 1994.

  15. Bolotin, V.V., Dinamicheskaya ustoichivost' uprugikh sistem (Dynamic Stability of Elastic Systems), Moscow: Gostekhizdat, 1956.

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ACKNOWLEDGMENTS

The authors are grateful to M.A. Ilgamov for discussing this work.

Funding

This work in part of the problem statement and the analysis of the calculation results was supported by the Russian Foundation for Basic Research, project no. 18-01-00150-a. The development of the computer code was supported by a state assignment for 2019–2022, project no. 0246-2019-0088.

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Authors and Affiliations

  1. Mavlyutov Institute of Mechanics, Ufa Federal Research Center, Russian Academy of Sciences, 450054, Ufa, Russia

    M. M. Shakir’yanov & A. A. Yulmukhametov

Authors
  1. M. M. Shakir’yanov
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  2. A. A. Yulmukhametov
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Corresponding author

Correspondence to M. M. Shakir’yanov.

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The authors declare that they have no conflict of interest.

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Translated by A. Ivanov

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Shakir’yanov, M.M., Yulmukhametov, A.A. Effect of an Internal Attached Mass on Nonlinear Pipeline Oscillations. J. Mach. Manuf. Reliab. 49, 749–756 (2020). https://doi.org/10.3103/S1052618820090113

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  • DOI: https://doi.org/10.3103/S1052618820090113

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