Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Hydrodynamic pressures acting on the walls of rectangular fluid containers

  • Dogangun, Adem (Karadeniz Technical University, Department of Civil Engineering) ;
  • Livaoglu, Ramazan (Karadeniz Technical University, Department of Civil Engineering)
  • Received : 2003.02.12
  • Accepted : 2003.10.27
  • Published : 2004.02.25
⟨ Previous Next ⟩

Abstract

The dynamic response characteristics of a rectangular fluid container are investigated by using finite element method. The fluid is assumed to be linear-elastic, inviscid and compressible. A displacement-based fluid finite element was employed to allow for the effects of the fluid. A typical rectangular fluid container, which is used in recent studies, is considered for the numerical analysis. The North-South component of El Centro Earthquake records is used as input ground acceleration. Rigid and flexible fluid containers solutions are obtained for the chosen sample tank. Hydrodynamic pressures and sloshing motions are determined using Lagrangian fluid finite element. The results obtained from this study are compared with the results obtained by boundary-finite element method (BEM-FEM) and requirements of Eurocode-8. Based on the numerical analysis, some conclusions and discussions on the design considerations for rectangular fluid containers are presented.

Keywords

References

  1. Bathe, K.C., Wilson, E.L. and Peterson, F.E. (1974), "SAPIV- A structural analysis program for static and dynamic response of linear systems", University of California.
  2. Bauer, H.F. and Eidel, W. (1987), "Non-linear hydroelstic vibrations in rectangular containers", Institut für Raumfahrttechnik, Forschungsbericht:LRT-WE-9-FB-7.
  3. Dogangun, A. (1995), "Earthquake analysis of rectangular water tanks considering liquid-structure-soil interaction using finite element method by comparing with analytical methods", (in Turkish), Dissertation, Karedeniz Technical University, Trabzon, Turkey.
  4. Dogangun, A., Durmu , A. and Ayvaz, Y. (1996), "Finite element analysis of seismic response of rectangular tanks using added mass and Lagrangian approach", Proc. of the 2nd Int. Conf. Civil Engng. Computer Applications Research and Practice, Bahrain, April 6-8, I, 371-379.
  5. Dogangun, A., Durmu , A. and Ayvaz, Y. (1997), "Earthquake analysis of flexible rectangular tanks using the Lagrangian fluid finite element", Euro. J. Mech.-A/Solids, 16, 165-182.
  6. Epstein, H.I. (1976), "Seismic design of liquid storage tanks", J. Struct. Div., ASCE, 102, 1659-1673.
  7. Eurocode-8 (1998), "Design of structures for earthquake resistance - part 4: silos, tanks and pipelines", European Committee for Standardization, 65 pages.
  8. Graham, E.W. and Rodriguez, A.M. (1952), "Characteristics of fuel motion which affect airplane dynamics", J. Appl. Mech., 19, 381-388.
  9. Haroun, M.A. (1984), "Stress analysis of rectangular walls under seismically induced hydrodynamic loads", Bull. Seism. Soc. Am., 74, 1031-1041.
  10. Haroun, M.A. and Chen, W. (1989), "Seismic large amplitude liquid sloshing theory", Proceedings of the Sessions Related to Seismic Engng. Al Structures Congree 89, 418-427.
  11. Hoskins, L.M. and Jacobsen, L.S. (1934), "Water pressure in a tank caused by simulated earthquake", Bull. Seism. Soc. Am., 24, 1-32.
  12. Housner, G.W. (1957), "Dynamic pressures on accelerated fluid containers", Bull. Seism. Soc. Am., 47, 15-35.
  13. Housner, G.W. (1963), "Dynamic behaviour of water tanks", Bull. Seism. Soc. Am., 53, 381-387.
  14. Kim, J.K., Koh, H.M. and Kwahk, I.J. (1996), "Dynamic response of rectangular flexible fluid containers", J. Engng. Mech., ASCE, 122, 807-817. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:9(807)
  15. Kim, J.K., Park, J.Y. and Jin, B.M. (1998), "The effects of soistructure interaction on the dynamics of 3-D flexible rectangular tanks", Proceedings of the 6th East Asia-Pacific Conf. on Struct. Engng. & Construction, January 14-16, Taipei, Taiwan.
  16. Koh, H.M., Kim, J.K. and Park, J.H. (1998), "Fluid-structure interaction analysis of 3-D rectangular tanks by a variationally coupled BEM-FEM and comparison with test results", Earthq. Engng. Struct. Dyn., 27, 109-124. https://doi.org/10.1002/(SICI)1096-9845(199802)27:2<109::AID-EQE714>3.0.CO;2-M
  17. Lepettier, T.G. and Raichlen, F. (1998), "Non linear oscillation in rectangular tanks", J. Engng. Mech., 114, 1-23.
  18. Minowa, C. (1980), "Dynamic analysis of rectangular tanks", Proceedings of 7th WCEE, Istanbul, 447-450.
  19. Minowa, C. (1984), "Experimental studies of aseismic properties of various type water tanks", Proceedings of 8th WCEE, San Francisco, 945-952.
  20. Park, J.H., Koh, H.M. and Kim, J.K. (2000), "Seismic isolation of pool-type tanks for the storage of nuclear spent fuel assemblies", Nuclear Eng. Design, 199, 143-154. https://doi.org/10.1016/S0029-5493(99)00064-3
  21. Priestley, M.J.N., Davidson, B.J., Honey, G.D., Hopkins, D.C., Martin, R.J., Ramsey, G., Vessey, J.V. and Wood, J.H. (1986), "Seismic design of storage tanks", Recommendation of a Study Group the New Zealand Society for Earthquake Engineering, New Zealand, 180 pages.
  22. Rammerstorfer, F.G., Scharf, K. and Fischer, F.D. (1990), "Storage tanks under earthquake loading", Appl. Mech. Reviews, 43, 261-281. https://doi.org/10.1115/1.3119154
  23. Wilson, E.L. and Khalvati, M. (1983), "Finite elements for the dynamic analysis of fluid-solid systems", Int. J. Num. Meth. Eng., 19, 1657-1668. https://doi.org/10.1002/nme.1620191105

Cited by

  1. Soil interaction effects on sloshing response of the elevated tanks vol.5, pp.4, 2013, https://doi.org/10.12989/gae.2013.5.4.283
  2. Seismic responses of base-isolated flexible rectangular fluid containers under horizontal ground motion vol.100, 2017, https://doi.org/10.1016/j.soildyn.2017.05.010
  3. Seismic response evaluation of the RC elevated water tank with fluid-structure interaction and earthquake ensemble vol.16, pp.3, 2012, https://doi.org/10.1007/s12205-011-1104-1
  4. Investigation of seismic behavior of fluid–rectangular tank–soil/foundation systems in frequency domain vol.28, pp.2, 2008, https://doi.org/10.1016/j.soildyn.2007.05.005
  5. Experimental study on dynamic behavior of buried concrete rectangular liquid storage tanks using shaking table vol.15, pp.9, 2017, https://doi.org/10.1007/s10518-017-0107-9
  6. Violent Sloshing and Wave Impact in a Seismically Excited Liquid-Filled Tank: Meshfree Particle Approach vol.144, pp.3, 2018, https://doi.org/10.1061/(ASCE)EM.1943-7889.0001364
  7. Effect of Earthquake Characteristics on Seismic Performance of RC Elevated Water Tanks Considering Fluid Level within the Vessels vol.36, pp.2, 2011, https://doi.org/10.1007/s13369-010-0029-1
  8. Seismic Performance of RC Elevated Water Tanks with Frame Staging and Exhibition Damage Pattern vol.14, 2011, https://doi.org/10.1016/j.proeng.2011.07.387
  9. Dynamic analysis of flexible rectangular fluid containers subjected to horizontal ground motion vol.42, pp.11, 2013, https://doi.org/10.1002/eqe.2291
  10. Effect of foundation embedment on seismic behavior of elevated tanks considering fluid–structure-soil interaction vol.27, pp.9, 2007, https://doi.org/10.1016/j.soildyn.2007.01.008
  11. Effects of backfill on seismic behavior of rectangular tanks vol.38, pp.10, 2011, https://doi.org/10.1016/j.oceaneng.2011.05.017
  12. Dynamic analysis and seismic performance evaluation of above-ground liquid-containing tanks vol.30, pp.3, 2008, https://doi.org/10.1016/j.engstruct.2007.05.002
  13. Analytical solution for free vibration of flexible 2D rectangular tanks vol.122, 2016, https://doi.org/10.1016/j.oceaneng.2016.05.052
  14. Dynamic behavior of flexible rectangular fluid containers vol.66, 2013, https://doi.org/10.1016/j.tws.2013.02.001
  15. Simplified seismic analysis procedures for elevated tanks considering fluid–structure–soil interaction vol.22, pp.3, 2004, https://doi.org/10.1016/j.jfluidstructs.2005.12.004
  16. Nonlinear behavior of ground-supported circular reinforced concrete tanks vol.48, pp.2, 2021, https://doi.org/10.1139/cjce-2019-0583
  17. Seismic vulnerability assessment of elevated water tanks with variable staging pattern incorporating the fluid-structure interaction vol.34, pp.None, 2004, https://doi.org/10.1016/j.istruc.2021.07.062
  18. A mechanical model for soil-rectangular tank interaction effects under seismic loading vol.153, pp.None, 2004, https://doi.org/10.1016/j.soildyn.2021.107092