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Advances in Mechanical Engineering pp 115–126Cite as

The Vibrations of Reservoirs and Cylindrical Supports of Hydro Technical Constructions Partially Submerged into the Liquid

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Abstract

We consider here the free oscillations of a system of concentric cylindrical shells partially submerged in a fluid and vertically attached to a reservoir bottom. The statement of the problem is a rigorous one. The dispersion equation and reflection coefficients are found on the basis of an exact analytical solution of the submerged part of a single cylindrical shell. The generalizations of this method are discussed. We use a method of impedances for constructing dispersion equations and generalized displacements and forces. Look-alike systems can model the supports of hydro technical constructions, oil rigs, wind electro stations, standing on a shelf, reservoirs with fluid, etc.

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References

  1. Zinovieva TV (2012) Computational mechanics of elastic shells of revolution in mechanical engineering calculations. In: Modern engineering: science and education. Proceedings of second international scientific and practical conference. Published by State Polytechnic University, SPb, pp 335–343

    Google Scholar 

  2. Filippenko GV (2012) The vibrations of pipelines and thin walled supports of hydro technical constructions partially submerged into the liquid. In: Modern engineering: science and education. Proceedings of second international scientific and practical conference. Published by State Polytechnic University, SPb, pp 769–778

    Google Scholar 

  3. Lavrov JA (1997) On the free vibrations of acoustical resonator with elastic cylindrical wall and rigid flat end. Acoust J 3:425–428

    Google Scholar 

  4. Lavrov JA (2002) On the frequencies of free vibrations in the liquid, separating rigid and elastic walls of the finite length. Papers of scientific seminars of PDMI, 2002

    Google Scholar 

  5. Filippenko GV, Kouzov DP (2001) On the vibration of membrane partially protruding above the surface of a liquid. J Comput Acoust (JCA) 9(4):1599–1609

    Article  Google Scholar 

  6. Filippenko GV (2006) Vibration of the cylindrical supports and tubes partially submerged into the water. In: Proceedings of the 8th international symposium “Transport Noise and Vibration”, St.-Petersburg, Russia, 4–6 June 2006, CD format, 2006. Article s2–5, 7 pp. Published by East-European Acoustical Association, ISBN 5-900703-92-4

    Google Scholar 

  7. Filippenko GV (2006) Vibration of the cylindrical supports and tubes partially submerged into the water. In: Proceedings of the 8th international symposium “Transport Noise and Vibration”, St.-Petersburg, Russia, 4–6 June 2006, CD format, 2006. Article s2-5, 7 pp. Published by East-European Acoustical Association, ISBN 5-900703-92-4

    Google Scholar 

  8. Kouzov DP, Filippenko GV (2010) Vibrations of an elastic plate partially immersed in a liquid. J Appl Math Mech 74(5):617–626

    Google Scholar 

  9. Yeliseyev VV, Zinovieva TV (2012) Nonlinear-elastic strain of underwater pipeline in laying process. Vycisl. meh. splos. sred.—Comput Continuum Mech 5(1):70–78

    Google Scholar 

  10. Filippenko GV (2013) Energy aspects of waves propagation in the infinite cylindrical shell fully submerged into the liquid. Vycisl. meh. splos. sred.—Computat Continuum Mech 6(2):187–197

    Google Scholar 

  11. Sorokin SV, Nielsen JB, Olhoff N (2004) Green’s matrix and the boundary integral equations method for analysis of vibrations and energy flows in cylindrical shells with and without internal fluid loading. J Sound Vib 271(3–5):815–847

    Article  Google Scholar 

  12. Filippenko GV (2010) Statement of the boundary-contact problems for the shells in acoustics. In: Proceedings of the international conference on “Days on Diffraction 2010”, St.-Petersburg, Russia, 8–10 June 2010, pp 57–626

    Google Scholar 

  13. Filippenko GV (2011) The energy analysis of shell-fluid interaction. In: Proceedings of the international conference on “Days on Diffraction 2011”, St.-Petersburg, Russia, 30 May–3 June 2011, pp 63–66

    Google Scholar 

  14. Filippenko GV (2012) The forced oscillations of the cylindrical shell partially submerged into a layer of liquid. In: Proceedings of the international conference on “Days on Diffraction 2012”, St.-Petersburg, Russia, 28 May–1 June 2012, pp 70–75

    Google Scholar 

  15. Cremer L, Heckl M, Petersson BAT (2005) Structure-borne sound. Structural vibrations and sound radiation at audio frequencies, 3rd edn. XII, 607 p 215 illus

    Google Scholar 

  16. Eliseev VV (2003) Mechanics of elastic bodies. SPbSPU, SPb, 336 p (in Russian)

    Google Scholar 

  17. Sveshnikov AV (1951) Absorption principle for a wave guide. Doklady Akademiji Nauk SSSR 80:345–347 (in Russian)

    MATH  Google Scholar 

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Acknowledgements

The author expresses sincere gratitude to Professor Daniil P. Kouzov for useful discussions and constructive notes.

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Authors and Affiliations

  1. Institute of Problems of Mechanical Engineering, V.O, Bolshoj pr, 61, St Petersburg, 199178, Russia

    George V. Filippenko

  2. St.Petersburg State University, 7-9, Universitetskaya nab, St.Petersburg, 199034, Russia

    George V. Filippenko

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  1. George V. Filippenko
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Correspondence to George V. Filippenko .

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Editors and Affiliations

  1. Saint-Petersburg Polytechnic University, Saint-Petersburg, Russia

    Alexander Evgrafov

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Filippenko, G.V. (2016). The Vibrations of Reservoirs and Cylindrical Supports of Hydro Technical Constructions Partially Submerged into the Liquid. In: Evgrafov, A. (eds) Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-29579-4_12

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  • DOI: https://doi.org/10.1007/978-3-319-29579-4_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-29578-7

  • Online ISBN: 978-3-319-29579-4

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