DOI QR코드

DOI QR Code

Dynamic response of empty steel tanks with dome roof under vertical base motion

  • Virella, Juan C. (Department of Civil Engineering and Surveying, University of Puerto Rico) ;
  • Godoy, Luis A. (Department of Civil Engineering and Surveying, University of Puerto Rico)
  • Received : 2006.05.02
  • Accepted : 2008.11.01
  • Published : 2009.03.25

Abstract

This paper reports results of the structural response of empty steel tanks under vertical ground motions. The tanks are modeled using a finite element discretization using shell elements, and the vertical motion is applied and analyzed using nonlinear dynamics. Several excitation frequencies are considered, with emphasis on those that may lead to resonance of the roof. The computational results illustrate that as the base motion frequency is tuned with the frequency of the first roof-mode of the tank, the system displays large-amplitude displacements. For frequencies away from such mode, small amplitude displacements are obtained. The effect of the height of the cylinder on the dynamic response of the tank to vertical ground motion has also been investigated. The vertical acceleration of the ground motion that induces significant changes in the stiffness of the tank was found to be almost constant regardless of the height of the cylinder.

Keywords

References

  1. ABAQUS (2002), Explicit Users Manual, Version 6.4, Hibbit, Karlsson and Sorensen, Pawtucket, RI.
  2. Budiansky, B. and Roth, S. (1962), "Axisymmetric dynamic buckling of clamped shallow spherical shells", NASA collected papers on stability of shell structures, TN-1510, 597-606.
  3. Godoy, L. A. (2000), Theory of Elastic Stability: Analysis and Sensitivity, Taylor and Francis, Philadelphia, PA.
  4. Haroun, M.A. and Housner, G.W. (1981), "Earthquake response of deformable liquid storage tanks", J. Appl. Mech. ASME, 48(2), 411-418. https://doi.org/10.1115/1.3157631
  5. HAZUS-MH MR1 (2004), Release 39, Federal Emergency Management Agency, U.S. Department of Home Land Security, Washington DC, USA.
  6. Housner, G.W. (1963), "The dynamic behavior of water tanks", B. Seismol. Soc. Am., 53(2), 381-389.
  7. Ito, T., Morita, H., Hamada, K., Sugiyama, A., Kawamoto, Y., Ogo, H. and Shirai, E. (2003), "Investigation on buckling behavior of liquid storage tanks under seismic excitation (First report: Investigation on elephant foot bulge)", Proc. ASME Pressure Vessels and Piping Conf., Cleveland, Ohio, 466, 193-201.
  8. Malhotra, P. K. (2000), "Practical nonlinear seismic analysis of tanks", Earthq. Spectra, 16(2), 473-492. https://doi.org/10.1193/1.1586122
  9. Morita, H., Ito, T., Hamada, K., Sugiyama, A., Kawamoto, Y., Ogo, H. and Shirai, E. (2003), "Investigation on buckling behavior of liquid storage tanks under seismic excitation: Second report-Investigation on the nonlinear ovaling vibration at the upper wall", Proc. ASME Pressure Vessels and Piping Conf., Cleveland, Ohio, 466, 227-234.
  10. Natsiavas, S. and Babcock, C.D. (1987), "Buckling at the top of a fluid-filled tank during base excitation", J. Press. Vess. T. ASME, 109, 374-380. https://doi.org/10.1115/1.3264919
  11. Rammerstorfer, F.G., Scharf, K., Fisher, F.D. and Seeber, R. (1990), "Storage tanks under earthquake loading", Applied Mechanics Reviews, 43 (11), 261-282. https://doi.org/10.1115/1.3119154
  12. Sosa, E.M. and Godoy, L.A. (2005), "Non-linear dynamics of above-ground thin-walled tanks under fluctuating pressures", J. Sound Vib., 283(1-2), 201-215. https://doi.org/10.1016/j.jsv.2004.04.023
  13. Veletsos, A.S. (1984), "Seismic response and design of liquid storage tanks. Guidelines for the seismic design of oil and gas pipeline systems", ASCE Technical Council on Lifeline Earthquake Engineering, New York, 255-370, 443-461.
  14. Veletsos, A.S. and Shivakumar, P. (1997), "Tanks containing liquids or solids", in: Computer analysis and design of earthquake resistant structures: A Handbook, D.E. Beskos, S.A. Anagnostopoulos, eds., Computational Mechanics Publications, Southampton, U.K., 3, 725-773.
  15. Veletsos, A.S. and Yang, J.Y. (1977), "Earthquake response of liquid storage tanks", in: Advances in Civil Engineering through Mechanics, Proc. Second ASCE Engineering Mechanics Specialty Conf., Raleigh, NC, 1-24.
  16. Virella, J. C., Godoy, L. A. and Suarez, L. E. (2003), "Influence of the roof on the natural periods of steel tanks", Eng. Struct., 25, 877-887 https://doi.org/10.1016/S0141-0296(03)00022-1
  17. Virella, J. C., Godoy, L. A. and Suarez, L. E. (2005), "Impulsive modes of vibration of cylindrical tank-liquid systems under horizontal motion: Effect of pre-stress states", J. Vib. Control, 11, 1195–1220.
  18. Virella, J. C., Godoy, L. A. and Suarez, L. E. (2006a), "Dynamic buckling of anchored steel tanks subjected to horizontal earthquake excitation", J. Constr. Steel Res., 62(6), 521-531. https://doi.org/10.1016/j.jcsr.2005.10.001
  19. Virella, J. C., Godoy, L. A. and Suarez, L. E. (2006b), "Fundamental modes of tank-liquid systems under horizontal motions", Eng. Struct., 28(10), 1450-1461. https://doi.org/10.1016/j.engstruct.2005.12.016
  20. Virella, J. C., Suarez, L. E. and Godoy, L. A. (2008), "A static nonlinear procedure for the evaluation of the elastic buckling of anchored steel tanks due to earthquakes", J. Earthq. Eng., 12, 1-24.
  21. Virella, J. C., Prato, C. A. and Godoy, L. A. (2008), "Linear and nonlinear 2D finite element analysis of sloshing modes and pressures in rectangular tanks subject to horizontal harmonic motions", J. Sound Vib., 312, 442-460. https://doi.org/10.1016/j.jsv.2007.07.088

Cited by

  1. Nonlinear numerical evaluation of large open-top aboveground steel welded liquid storage tanks excited by seismic loads vol.119, 2017, https://doi.org/10.1016/j.tws.2017.07.017
  2. Review of API 650 Annex E: Design of large steel welded aboveground storage tanks excited by seismic loads vol.112, 2017, https://doi.org/10.1016/j.tws.2016.11.013
  3. Experiments on Stability Performance of Thin-Walled, Open-Top Steel Storage Tanks Subjected to Local Support Settlement vol.21, pp.1, 2009, https://doi.org/10.1142/s021945542150005x
  4. Seismic analysis of high-rise steel frame building considering irregularities in plan and elevation vol.39, pp.1, 2009, https://doi.org/10.12989/scs.2021.39.1.065