Structural Engineering and Mechanics

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Axisymmetrical free-vibration analysis of liquid-storage tanks considering the liquid compressibility

  • Cho, Jin-Rae (School of Mechanical Engineering, Pusan National University) ;
  • Lee, Jin-Kyu (School of Mechanical Engineering, Pusan National University)
  • Published : 2002.04.25
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Abstract

In this paper, we address the numerical investigation on the effect of liquid compressibility onto the natural frequency of liquid-filled containers. Traditionally the liquid motion has been treated as an ideal fluid motion. However, from the numerical experiments for the axisymmetrical free-vibration of cylindrical liquid-storage tanks, we found that the relative difference in natural frequencies between ideal and compressible motions becomes remarkable, as the slenderness of tank or the relative liquid-fill height becomes larger. Therefore, in such cases of dynamic systems, the liquid compressibility becomes an important parameter, for the accurate vibration analysis. For the free-vibration analysis of compressible liquid-structure interaction we employed the coupled finite element formulation expressed in terms of the acoustic wave pressure and the structure deformation.

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References

  1. Abramson, H.N. (1966), The Dynamic Behavior of Liquids in Moving Containers, NASA SP-106, 1966.
  2. Cho, J.R., Song, J.M. and Song, J.I. (1999), "Finite-element estimation of accurate added-masses in fluidstructureinteraction problems," Proc. 1st Int. Conf. Advances Struct. Engrg. Mechanics, Seoul, Korea, 1641-1646.
  3. Cho, J.R., Lee, J.K., Song, J.M., Park, S.H. and Lee, J.N. (2000), "Free vibration analysis of aboveground LNGstoragetanks by the finite element method," KSME International, 14(6), 633-644.
  4. Cho, J.R., Song, J.M. and Lee, J.K. (2001), "Finite element techniques for the free-vibration and seismic analysisof liquid-storage tanks," Finite Elements in Analysis and Design, 37(6-7), 467-483. https://doi.org/10.1016/S0168-874X(00)00048-2
  5. Cho, J.R. and Song, J.M. (2001), "Assessment of classical numerical models for the separate liquid-structureanalysis," J. of Sound and Vibration, 239(5), 995-1012. https://doi.org/10.1006/jsvi.2000.3179
  6. Conca, C., Osses, A. and Planchard, J. (1997), "Added mass and damping in fluid-structure interaction," Comp.Meth. in Appl. Mech. and Eng., 146, 387-405. https://doi.org/10.1016/S0045-7825(96)01246-7
  7. Haroun, M.A. (1983), "Vibration studies and tests of liquid storage tanks," Earthq. Eng. and Struct. Dyn., 11,179-206. https://doi.org/10.1002/eqe.4290110204
  8. Haroun, M.A. and Tayel, M.A. (1985), "Axisymmetrical vibrations of tanks-numerical," J. Eng. Mech., 111(3),329-345. https://doi.org/10.1061/(ASCE)0733-9399(1985)111:3(329)
  9. Housner, G.W. (1957), "Dynamic pressure on accelerated fluid containers," Bull. Seism. Soc. Am., 47, 15-35.
  10. Howe, M.S. (1998), Acoustics of Fluid: Structure Interaction, Cambridge University Press, New York.
  11. Mackerle, J. (1999), "Fluid-structure interaction problems, finite element and boundary element approaches-A-bibliography (1995-1998)," Finite Elements in Analysis and Design, 31, 231-240. https://doi.org/10.1016/S0168-874X(98)00065-1
  12. Moiseev, N.N. and Rumyantsev, V.V. (1968), Dynamic Stability of Bodies Containing Fluid, Springer.
  13. Morand, H.J.-P. and Ohayon, R. (1995), Fluid Structure Interaction: Applied Numerical Methods, Wiley, NewYork.
  14. Rajasankar, J., Iyer, N.R. and Appa Rao, T.V.S.R. (1993), "A new 3-D finite element model to evaluate addedmass for analysis of fluid-structure interaction problems," Int. J. Numer. Meth. in Eng., 36, 997-1012. https://doi.org/10.1002/nme.1620360608
  15. Veletsos, A.S. (1963), "Seismic effects in flexible liquid storage tanks," Proc. 5th World Conf. EarthquakeEngrg., 1, 367-390, Rome, Italy.
  16. Walker, S. (1980), "Boundary elements in fluid/structure interaction problems," New Developments in BoundaryElement Methods, CML Publications, London.