Coupled systems mechanics

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Seismic behavior of three dimensional concrete rectangular containers including sloshing effects

  • Mirzabozorg, H. (Department of Civil Engineering, K. N. Toosi University of Technology) ;
  • Hariri-Ardebili, M.A. (Department of Civil, Environmental and Architectural Engineering, University of Colorado) ;
  • Nateghi A., R. (Department of Civil Engineering, K. N. Toosi University of Technology)
  • Received : 2011.12.10
  • Accepted : 2012.03.12
  • Published : 2012.03.25
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Abstract

In the present paper, the three-dimensional model of a typical rectangular concrete tank is excited using an artificial and a natural three components earthquake ground motion and the staggered displacement method is utilized for solving the coupled problem of the tank-contained liquid system in time domain. In the proposed method, surface sloshing of the liquid is taken into account in addition to the impulsive term and the appropriate damping values are applied on both of them. The resulted responses are compared with those obtained from the ABAQUS finite element software. It is found that the convective term affects responses extensively and must be considered in seismic design/safety assessment of storage tanks. In addition, the utilized method for solving the coupled problem is stable during the conducted general dynamic analyses and is able to capture the expected phenomena.

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References

  1. ABAQUS 6.5.1. (2007), Analysis User's Manual.
  2. Bayraktar, A., Sevim, B., Can Altunl lk, A. and Türker, T. (2010), "Effect of the model updating on the earthquake behaviour of steel storage tanks", J. Constr. Steel Res., 66(3), 462-469. https://doi.org/10.1016/j.jcsr.2009.10.006
  3. Berahman, F. and Behnamfar, F. (2009), "Probabilistic seismic demand model and fragility estimates for critical failure modes of un-anchored steel storage tanks in petroleum complexes", Probabilist. Eng. Mech., 24(4), 527-536. https://doi.org/10.1016/j.probengmech.2009.03.005
  4. Chen, J.Z. and Kianoush, M.R. (2009), "Generalized SDOF system for seismic analysis of concrete rectangular liquid storage tanks", Eng. Struct., 31(10), 2426-2435. https://doi.org/10.1016/j.engstruct.2009.05.019
  5. Cho, J.R. and Lee, H.W. (2004), "Numerical study on liquid sloshing in baffled tank by nonlinear finite element method", Comput. Method. Appl. M., 193(23), 2581-2598. https://doi.org/10.1016/j.cma.2004.01.009
  6. Dutta, S.C., Jain, S.K. and Murty, C.V.R. (2000), "Assessing the seismic torsional vulnerability of elevated tanks with RC frame-type staging", Soil Dyn. Earthq. Eng., 19(3), 183-197. https://doi.org/10.1016/S0267-7261(00)00003-8
  7. Estekanchi, H.E. and Alembagheri, M. (2012), "Seismic analysis of steel liquid storage tanks by Endurance Time method", Thin Wall. Struct., 50(1), 14-23. https://doi.org/10.1016/j.tws.2011.08.015
  8. Firouz-Abadi, R.D., Ghasemi, M. and Haddadpour, H. (2011), "A modal approach to second-order analysis of sloshing using boundary element method", Ocean Eng., 38(1), 11-21. https://doi.org/10.1016/j.oceaneng.2010.05.001
  9. Firouz-Abadi, R.D., Haddadpour, H. and Ghasemi, M. (2009), "Reduced order modelling of liquid sloshing in 3D tanks using boundary element method", Eng. Anal. Bound. Elem., 33(6), 750-761. https://doi.org/10.1016/j.enganabound.2009.01.005
  10. Frandsen, J.B. (2004), "Sloshing motions in excited tanks", J.Comput. Phys., 196(1), 53-87. https://doi.org/10.1016/j.jcp.2003.10.031
  11. Ghaemian, M., Kianoush, M.R. and Mirzabozorg, H. (2005), "Time domain dynamic analysis of rectangular liquid containers in three-dimensional space", European Earthq. Eng., 2, 3-9.
  12. Hamdan, F.H. (2000), "Seismic behaviour of cylindrical steel liquid storage tanks", J. Constr. Steel Res., 53(3), 307-333. https://doi.org/10.1016/S0143-974X(99)00039-5
  13. Hernandez-Barrios, H., Heredia-Zavoni, E. and Aldama-Rodriguez, A.A. (2007), "Nonlinear sloshing response of cylindrical tanks subjected to earthquake ground motion", Eng. Struct., 29(12), 3364-3376. https://doi.org/10.1016/j.engstruct.2007.08.023
  14. Huang, S., Duan, W. and Zhu, X. (2010), "Time-domain simulation of tank sloshing pressure and experimental validation", J. Hydro.- Ser. B, 22(5), 556-563. https://doi.org/10.1016/S1001-6058(09)60252-3
  15. Kianoush, M.R. and Ghaemmaghami, A.R. (2011), "The effect of earthquake frequency content on the seismic behaviour of concrete rectangular liquid tanks using the finite element method incorporating soil-structure interaction", Eng. Struct., 33(7), 2186-2200. https://doi.org/10.1016/j.engstruct.2011.03.009
  16. Kianoush, M.R. and Chen, J.Z. (2006), "Effect of vertical acceleration on response of concrete rectangular liquid storage tanks", Eng. Struct., 28(5), 704-715. https://doi.org/10.1016/j.engstruct.2005.09.022
  17. Kianoush, M.R., Mirzabozorg, H. and Ghaemian, M. (2006), "Dynamic analysis of rectangular liquid containers in three-dimensional space", Canadian J.Civil Eng., 33, 501-507. https://doi.org/10.1139/l05-120
  18. Livaoglu, R. (2008), "Investigation of seismic behaviour of fluid-rectangular tank-soil/foundation systems in frequency domain", Soil Dynam. Earthq. Eng., 28(2), 132-146. https://doi.org/10.1016/j.soildyn.2007.05.005
  19. Livaoglu, R. and Dogangun, A. (2007), "Effect of foundation embedment on seismic behaviour of elevated tanks considering fluid-structure-soil interaction", Soil Dynam. Earthq. Eng., 27(9), 855-863. https://doi.org/10.1016/j.soildyn.2007.01.008
  20. Ming, P. and Duan, W. (2010), "Numerical simulation of sloshing in rectangular tank with VOF based on unstructured grids", J. Hydro.- Ser. B, 22(6), 856-864. https://doi.org/10.1016/S1001-6058(09)60126-8
  21. Mirzabozorg H., Khaloo A.R. and Ghaemian, M. (2003), "Staggered solution scheme for three dimensional analysis of dam-reservoir interaction", Dam Eng., 14(3), 147-164.
  22. Mirzabozorg, H. and Ghaemian, M. (2005), "Nonlinear behavior of mass concrete in three-dimensional problems using smeared crack approach", Earthq. Eng. Struct. D., 34, 247-269. https://doi.org/10.1002/eqe.423
  23. Mirzabozorg, H., Kianoush, R. and Jalalzadeh, B. (2009), "Damage mechanics approach and modeling nonuniform cracking within finite elements for safety evaluation of concrete dams in 3D space", Struct. Eng. Mech., 33(1), 91-46.
  24. Moslemi, M., Kianoush, M.R. and Pogorzelski, W. (2011), "Seismic response of liquid-filled elevated tanks", Eng. Struct., 33(6), 2074-2084. https://doi.org/10.1016/j.engstruct.2011.02.048
  25. Nasar, T., Sannasiraj, S.A. and Sundar, V. (2008), "Experimental study of liquid sloshing dynamics in a barge carrying tank", Fluid Dynam. Res., 40(6), 427-458. https://doi.org/10.1016/j.fluiddyn.2008.02.001
  26. Nachtigall, I., Gebbeken, N. and Urrutia-Galicia, J.L. (2003), "On the analysis of vertical circular cylindrical tanks under earthquake excitation at its base", Eng. Struct., 25(2), 201-213. https://doi.org/10.1016/S0141-0296(02)00135-9
  27. Nourali-Ahari, M., Eshghi, S. and Ghafory-Ashtiany, M. (2009), "The tapered beam model for bottom plate uplift analysis of unanchored cylindrical steel storage tanks", Eng. Struct., 31(3), 623-632. https://doi.org/10.1016/j.engstruct.2008.10.011
  28. Serdar Celebi, M. and Akyildiz, h. (2002), "Nonlinear modelling of liquid sloshing in a moving rectangular tank", Ocean Eng., 29(12), 1527-1553. https://doi.org/10.1016/S0029-8018(01)00085-3
  29. Shrimali, M.K. and Jangid, R.S. (2003), "Earthquake response of isolated elevated liquid storage steel tanks", J. Constr. Steel Res., 59(10), 1267-1288. https://doi.org/10.1016/S0143-974X(03)00066-X
  30. Sweedan, A.M.I. (2009), "Equivalent mechanical model for seismic forces in combined tanks subjected to vertical earthquake excitation", Thin Wall. Struct., 47(8-9), 942-952. https://doi.org/10.1016/j.tws.2009.02.001
  31. Virella, J.C., Godoy, L.A. and Suarez, L.E. (2006), "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
  32. Wu, C. and Chen, B. (2009), "Sloshing waves and resonance modes of fluid in a 3D tank by a time-independent finite difference method", Ocean Eng., 36(6-7), 500-510. https://doi.org/10.1016/j.oceaneng.2009.01.020

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