Skip to main content
SpringerLink
Log in

Frequencies of a hydroelastic rectangular system

  • Published:
Forschung im Ingenieurwesen Aims and scope Submit manuscript

Abstract

The coupled hydroelastic frequencies of a liquid in a rectangular channel covered by a membrane or plate (beam in the here treated two-dimensional case) have been obtained for various boundary conditions. The coupled eigenvalues have been obtained and show a decrease for increasing length of the beam to liquid heigh ratio, while for increasing mass ratio of the beam mass per unit length to the liquid mass per unit length exhibit an increase of the coupled eigenvalue.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Miles, J.W.: On the sloshing of liquid in a flexible tank. Journal of Applied Mechanics E 25, (1958) 277/283.

    Google Scholar 

  2. Lindholm, U.S.;D.D. Kana andN.N. Abramson: Breathing vibrations of a circular cylindrical shell with an internal liquid. Journal of Aerospace Sciences 29 (1962) 1052/1059.

    Google Scholar 

  3. Baron, M.L. andR. Skalak: Free vibrations of fluidfilled cylindrical shells. Proceedings of the American Society of Civil Engineering 88 (1962) 17/43.

    Google Scholar 

  4. Chu, W.-H.: Breathing vibrations of a partially filled cylinder tank—linear theory. Journal of Applied Mechanics E 30 (1963) 532/536.

    Google Scholar 

  5. Saleme, E. andT. Liber: Breathing vibrations of pressurized partially filled tanks. Journal of the American Institute of Aeronautics and Astronautics 3 (1965) 132/136.

    Google Scholar 

  6. Tsui, T.Y. andN.C. Small: Hydroelastic oscillations of a liquid surface in an annular circular cylindrical tank with flexible bottom. 1968 Journal of Spacecraft and Rockets 5 (1968) 202/206.

    Google Scholar 

  7. Bhuta, P.G.;G. Pravin andL.R. Koval: Coupled oscillations of a liquid with a free surface in a tank. Zeitschrift für Angewandte Mathematik und Physik 15 (1964) 466/480.

    Google Scholar 

  8. Bhuta, P.G. andL.R. Koval: Hydroelastic solution of the sloshing of a liquid in a cylindrical tank. Journal of the Acoustical Society of America 36 (1964) 2071/2079.

    Article  MathSciNet  Google Scholar 

  9. Yamaki, N.T.;J. Tani andT. Yamaji: Free vibration of a clamped-clamped circular cylindrical shell partically filled with liquid. Journal of Sound and Vibration 94 (1984) 531/550.

    Google Scholar 

  10. Bauer, H.F.;J. Siekmann andJ.T.S. Wang: Axisymmetric hydroelastic sloshing in an annular cylindrical container. Journal of Spacecraft and Rockets 5 (1968) 981/983.

    Article  Google Scholar 

  11. Bauer, H.F. andJ. Siekmann: Note on linear hydroelastic sloshing. Zeitschrift für Angewandte Mathematik und Mechanik 49 (1969) 577/589.

    Google Scholar 

  12. Bauer, H.F.: Hydroelastische Schwingungen im aufrechten Kreiszylinderbehälter. Zeitschrift für Flugwissenschaften 18 (1970) 117/134.

    Google Scholar 

  13. Bauer, H.F. andJ. Siekmann: Dynamic interaction of a liquid with the elastic structure of a circular cylindrical container. Ingenieur Archiv 40 (1971) 266/280.

    Article  Google Scholar 

  14. Lakis, A.A. andM.P. Paidoussis: Free vibration of cylindrical shells partially filled with liquid. Journal of Sound and Vibration 19 (1971) 1/15.

    Article  Google Scholar 

  15. Bauer, H.F.;J.T.S. Wang andP.Y. Chen: Axisymmetric hydroelastic sloshing in a circular cylindrical container. Aeronautical Journal 76 (1972) 704/712.

    Google Scholar 

  16. Bauer, H.F.: Hydroelastische Schwingungen in einem starren Kreiszylinder bei elastischer Flüssigkeitsober-flächenabdeckung. Zeitschrift für Flugwissenschaften 21 (1973) 202/213.

    Google Scholar 

  17. Stillman, W.E.: Free vibration of cylinders containing liquid. Journal of Sound and Vibration 30 (1973) 509/524.

    Article  Google Scholar 

  18. Jain, R.K.: Vibration of fluid-filled, orthotropic cylindrical shells. Journal of Sound and Vibration 37 (1974) 379/388.

    Article  Google Scholar 

  19. Nash, W.A.; S.H. Shaaban andT. Monzakis: Response of liquid storage tanks to seismic motion. Proceedings of the Third UITAM Symposium on Shell Theory (1980) 393/403.

  20. Haroun, M.A. andG.W. Housner: Earthquake response of deformable liquid storage tanks. Journal of Applied Mechanics E 48 (1981) 411/418.

    Google Scholar 

  21. Balendra, T.;K.K. Ang;P. Paramasivam andS.L. Lee: Free vibration analysis of cylindrical liquid storage tanks. International Journal of Mechanical Science 24 (1982) 47/59.

    Article  Google Scholar 

  22. Bauer, H.F.;T.M. Hsu andJ.T.S. Wang: Interaction of a sloshing liquid with elastic containers. Transactions of the American Society of Mechanical Engineers, Journal of Basic Engineering 90 (Series D, No. 3) (1968) 373/377.

    Google Scholar 

  23. Bauer, H.F.: Hydroelastic vibrations in a rectangular container. International Journal of Solids and Structures 17 (1981) 639/652.

    Article  Google Scholar 

  24. Bauer, H.F. andW. Eidel: Non-linear hydroelastic vibrations in rectangular containers. Journal of Sound and Vibration 125 (1) (1988) 93/114.

    Article  Google Scholar 

  25. Bauer, H.F.: Coupled frequencies of a hydroelastic rectangular system. Forschungsbericht der Universität der Bundeswehr München 4 (1992).

Download references

Author information

Authors and Affiliations

  1. Institut für Raumfahrttechnik, Universität der Bundeswehr München, Neubiberg

    Helmut F. Bauer

Authors
  1. Helmut F. Bauer
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bauer, H.F. Frequencies of a hydroelastic rectangular system. Forsch Ing-Wes 59, 18–28 (1993). https://doi.org/10.1007/BF02560620

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02560620

Keywords

Search

Navigation