DOI QR코드

DOI QR Code

Experimental analysis on FEM definition of backfill-rectangular tank-fluid system

  • Received : 2012.09.19
  • Accepted : 2013.02.22
  • Published : 2013.04.25

Abstract

In the present study, the numerical and experimental investigations were performed on the backfill- exterior wall-fluid interaction systems in case of empty and full tanks. For this, firstly, the non-linear three dimensional (3D) finite element models were developed considering both backfill-wall and fluid-wall interactions, and modal analyses for these systems were carried out in order to acquire modal frequencies and mode shapes by means of ANSYS finite element structural analysis program. Secondly, a series of field tests were fulfilled to define their modal characteristics and to compare the results from proposed approximation in the selected structures. Finally, comparing the theoretical predictions from the finite element models to results from experimental measurements, a close agreement was found between theory and experiment. Thus, it can be easily stated that experimental verifications provide strong support for the finite element models and the proposed procedures themselves are the meritorious approximations to the real problem, and this makes the models appealing for use in further investigations.

Keywords

References

  1. Alampalli, S. (1990), "Earthquake response of retaining walls: full scale testing and computational modeling", Ph.D. Dissertation, Department of Civil Engineering, Rensselaer Polytechnic Inst., Troy, N.Y.
  2. American Concrete Institute (ACI 350.3-01/350.3R-01) (2001), "Seismic Design of Liquid-Containing Concrete Structures (ACI 350.3-01) and Commentary (350.3R-01)", ACI Committee 350, Environmental Engineering Concrete Structures.
  3. Anderson, G.R., Whitman, R.V. and Germaine, J.T. (1987), "Tilting response of centrifuge-modeled gravity retaining wall to seismic shaking", Research Report R87-14, Department of Civil Engineering, MIT.
  4. ANSYS 10 (2006), ANSYS Inc., Canonsburg, PA.
  5. Arias, A., Sanchez-Sesma, F.J. and Ovando-Shelley, E. (1981), "A simplified elastic model for seismic analysis of earth-retaining structures with limited displacement", Proceedings of International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics, St. Louis, MO, USA, April-May.
  6. Bolton, M.D. and Steedman, R.S. (1982), "Centrifugal testing of micro-concrete retaining walls subjected to base shaking", Proceedings of Conference on Soil Dynamics and Earthquake Engineering, Southampton, UK, July
  7. Bolton, M.D. and Steedman, R.S. (1984), "The behavior of fixed cantilever walls subjected to lateral shaking", Proceedings of A Symposium on The Application of Centrifuge Modeling to Geotechnical Design, Manchester, UK, April.
  8. Bryne, P.M. and Salgado, F. (1981), "Seismic response of retaining structures", Proceedings of The International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics, St. Louis, MO, USA, April-May.
  9. Cakir, T. (2010), "Investigation of earthquake behaviors of soil-exterior wall of tank-fluid systems", (in Turkish), Ph.D. Dissertation, Karadeniz Technical University, Trabzon, Turkey.
  10. Cakir, T. and Livaoglu, R. (2012), "Fast practical analytical model for analysis of backfill-rectangular tank-fluid interaction systems", Soil Dyn. Earthquake Eng., 37, 24-37. https://doi.org/10.1016/j.soildyn.2012.01.013
  11. Chang, C.Y., Power, M.S., Mok, C.M., Tang, Y.K. and Tang, H.T. (1990), "Analysis of dynamic lateral earth pressures recorded on Lotung reactor containment model structure", Proceedings of 4th Nat. Conf. on Earthquake Engineering, Palm Springs, CA, USA, May.
  12. 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
  13. Choudhury, D., Sitharam, T.G. and Subba Rao, K.S. (2004), "Seismic design of earth-retaining structures and foundations", Special section: Geotechnics and Earthquake Hazards. Current science, 87(10), 1417-1425.
  14. Dewoolkar, M.M., Ko, H.K. and Pak, R.Y.S. (2001), "Seismic behavior of cantilever retaining walls with liquefiable backfills", J. Geotech. Geoenviron. Eng., ASCE, 127(5), 424-435. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:5(424)
  15. Dimaragona, P.D. (1983), "Distribution of lateral earthquake pressure on a retaining wall", Soils Found., 23(4), 1-10.
  16. Elgamal, A.W., Alampalli, S. and Laak, P.V. (1996), "Forced vibration of full-scale wall-backfill system", J. Geotech. Eng., ASCE, 122(10), 849-858. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:10(849)
  17. Elms, D.G. and Richards, R. (1990), "Seismic design of retaining walls", ASCE Geotech. Special Publication No. 25 - Specialty Conference on Design and Performance of Earth Retaining Structures, Cornell University, Ithaca, NY, USA, June.
  18. Eurocode 8 (2003), "Design of structures for earthquake resistance - part 5: Foundations, retaining structures and geotechnical aspects", Final draft, European Committee for Standardization, Brussels, Belgium.
  19. Eurocode 8 (2006), "Design of structures for earthquake resistance - part 4: Silos, tanks and pipelines", Final draft, European Committee for Standardization, Brussels, Belgium.
  20. Fukuoka, M. and Imamura, Y. (1984), "Researches on retaining walls during earthquakes", Proceedings of 8th World Conference on Earthquake Engineering, San Francisco, California, July.
  21. Gazetas, G., Psarropoulos, P.N., Anastasopoulos, I. and Gerolymos, N. (2004), "Seismic behaviour of flexible retaining systems subjected to short-duration moderately strong excitation", Soil Dyn. Earthquake Eng., 24(7), 537-550. https://doi.org/10.1016/j.soildyn.2004.02.005
  22. Ghaemmaghami, A.R. and Kianoush, M.R. (2010), "Effect of wall flexibility on dynamic response of concrete rectangular liquid storage tanks under horizontal and vertical ground motions", J. Struct. Eng., ASCE, 136(4), 441-451. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000123
  23. Ishibashi, I. and Fang, Y.S. (1987), "Dynamic earth pressures with different wall movement modes", Soils Found., 27(4), 11-22. https://doi.org/10.3208/sandf1972.27.4_11
  24. Ishibashi, I., Osada, M. and Uwabe, T. (1994), "Dynamic lateral pressures due to saturated backfills on rigid walls", J. Geotech. Eng., 120(10), 1747-1767. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:10(1747)
  25. Jeong, K.H. (2011), "Hydroelastic vibration analysis of liquid-contained rectangular tanks", Struct. Eng. Mec., 40(5), 665-688. https://doi.org/10.12989/sem.2011.40.5.665
  26. Kianoush, M.R. and Ghaemmaghami, A.R. (2011), "The effect of earthquake frequency content on the seismic behavior 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
  27. Livaoglu, R. and Dogangun, A. (2007), "Effect of foundation embedment on seismic behavior of elevated tanks considering fluid-structure-soil interaction", Soil Dyn. Earthquake Eng., 27, 855-863. https://doi.org/10.1016/j.soildyn.2007.01.008
  28. Livaoglu, R. (2008), "Investigation of seismic behavior of fluid-rectangular tank-soil/foundation systems in frequency domain", Soil Dyn. Earthquake Eng., 28(2), 132-146. https://doi.org/10.1016/j.soildyn.2007.05.005
  29. Livaoglu, R., Cakir, T., Dogangun, A. and Aytekin, M. (2011), "Effects of backfill on seismic behavior of rectangular tanks", Ocean Eng., 38(10), 1161-1173. https://doi.org/10.1016/j.oceaneng.2011.05.017
  30. Lysmer, J. and Kuhlemeyer, R.L. (1969), "Finite dynamic model for infinite media", J. Eng. Mech. Div., ASCE, 95, 859-877.
  31. Madabhushi, S.P.G. and Zeng, X. (1998), "Seismic response of gravity quay walls. II: Numerical modeling", J. Geotech. Geoenviron. Eng., ASCE, 124(5), 418-427. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:5(418)
  32. Madabhushi, S.P.G. and Zeng, X. (2007), "Simulating seismic response of cantilever retaining walls", J. Geotech. Geoenviron. Eng., ASCE, 133(5), 539-549. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:5(539)
  33. Minowa, C. and Sadohira, A. (2001), "Measurements of lateral earth pressures on an embedded foundation during earthquakes and forced vibration tests", The 2nd UJNR Workshop on Soil-Structure Interaction, Tsukuba, Japan, March.
  34. Mylonakis, G., Kloukinas, P. and Papantonopoulos, C. (2007), "An alternative to the Mononobe-Okabe equations for seismic earth pressures", Soil Dyn. Earthquake Eng., 27(10), 957-969. https://doi.org/10.1016/j.soildyn.2007.01.004
  35. Nadim, F. and Whitman, R.V. (1983), "Seismically induced movement of retaining walls", J. Geotech. Eng., ASCE, 109(7), 915-931. https://doi.org/10.1061/(ASCE)0733-9410(1983)109:7(915)
  36. Nazarian, H.N. and Hadjian, A.H. (1979), "Earthquake-induced lateral soil pressures on structures", J. Geotech. Eng. Div., ASCE, 105(GT9), 1049-1066.
  37. Ortiz, L.A. (1982), "Dynamic centrifuge testing of cantilever retaining walls", Ph.D. Dissertation, California Institute Technology, Pasadena, CA, USA.
  38. Ortiz, L.A., Scott, R.F. and Lee, J. (1983), "Dynamic centrifuge testing of a cantilever retaining wall", Earthquake Eng. Struct. Dyn., 11(2), 251-268. https://doi.org/10.1002/eqe.4290110207
  39. Pahwa, A., Whitman, R.V. and Lee, J. (1987), "Quick release tests on centrifuge of wall retaining saturated sand backfill. Seismic Design of Retaining Walls", Research Report R87-18, Department of Civil Engineering, MIT.
  40. Psarropoulos, P.N., Klonaris, G. and Gazetas, G. (2005), "Seismic earth pressures on rigid and flexible retaining walls", Soil Dyn. Earthquake Eng., 25(7-10), 795-809. https://doi.org/10.1016/j.soildyn.2004.11.020
  41. Rafnsson, E.A. (1991), "Displacement based design of rigid retaining walls subjected to dynamic loads considering soil nonlinearity", Ph.D. Dissertation, University of Missouri-Rolla, USA.
  42. Richards, R. and Elms, D.G. (1979), "Seismic behavior of gravity retaining walls", J. Geotech. Eng. Div., ASCE, 105(4), 449-464.
  43. Scott, R.F. (1973), "Earthquake-induced pressures on retaining walls", Proceedings of the 5th World Conference on Earthquake Engineering, Rome, Italy, June.
  44. Sherif, M.A., Ishibashi, I. and Lee, C.D. (1982), "Earth pressures against rigid retaining walls", J. Geotech. Eng. Div., ASCE, 108(5), 679-695.
  45. Siddharthan, R., Gowda, P.K. and Norris, G.M. (1991), "Displacement based design of retaining walls", Proceedings of 2nd International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics, St. Louis, MO, USA, April-May.
  46. Stadler, A.T. (1996), "Dynamic centrifuge testing of cantilever retaining walls", Ph.D. Dissertation, University of Colorado at Boulder, Boulder, CO, USA.
  47. Steedman, R.S. (1984), "Modeling the behavior of retaining walls in earthquakes", Ph.D. Dissertation, Cambridge University, Cambridge, England.
  48. Ting, N.H. and Whitman, R.V. (1995), "Centrifuge modeling of a tilting wall with liquefiable backfill", Proceedings of 3rd International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics, St. Louis, MO, USA, April-May.
  49. Veletsos, A.S. and Younan, A.H. (1994a), "Dynamic modeling and response of soil-wall systems", J. Geotech. Eng., ASCE, 120(12), 2155-2179. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:12(2155)
  50. Veletsos, A.S. and Younan, A.H. (1994b), "Dynamic soil pressures on rigid vertical walls", Earthquake Eng. Struct. Dyn., 23(3), 275-301. https://doi.org/10.1002/eqe.4290230305
  51. Veletsos, A.S. and Younan, A.H. (1997), "Dynamic response of cantilever walls", J. Geotech. Eng., 123(2), 161-172. https://doi.org/10.1061/(ASCE)1090-0241(1997)123:2(161)
  52. Whitman, R.V. and Ting, N.H. (1993), "Experimental results for tilting wall with saturated backfill", International Conference on the Verification of Numerical Procedures for The Analysis of Soil Liquefaction Problems, Arulanandan and Scott (Eds.), Balkema, Rotterdam, 1515-1528.
  53. Wood, J.H. (1973), "Earthquake-induced soil pressures on structures", Report EERL 73-05, Earthquake Engineering Research Laboratory, California Institute of Technology.
  54. Wolf, J.P. and Song, C.H. (1996), Finite-Element Modelling of Unbounded Media, John Wiley and Sons, Chichester.
  55. Wu, Y. (1999), "Displacement-based analysis and design of rigid retaining walls during earthquakes", Ph.D. Dissertation, University of Missouri-Rolla, Rolla, MO, USA.
  56. Younan, A.H. and Veletsos, A.S. (2000), "Dynamic response of flexible retaining walls", Earthquake Eng. Struct. Dyn., 29(12), 1815-1844. https://doi.org/10.1002/1096-9845(200012)29:12<1815::AID-EQE993>3.0.CO;2-Z
  57. Zeng, X. (1998), "Seismic response of gravity quay walls I: Centrifuge modeling", J. Geotech. Geoenviron. Eng., ASCE, 124(5), 406-417. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:5(406)

Cited by

  1. Backfill and subsoil interaction effects on seismic behavior of a cantilever wall vol.6, pp.2, 2014, https://doi.org/10.12989/gae.2014.6.2.117
  2. Design of LQR controller for active suspension system of Partially Filled Tank Cars vol.49, pp.3, 2014, https://doi.org/10.12989/sem.2014.49.3.329
  3. Assessment of effect of material properties on seismic response of a cantilever wall vol.13, pp.4, 2013, https://doi.org/10.12989/gae.2017.13.4.601
  4. Modified pseudo-dynamic analysis of rigid gravity retaining wall with cohesion-less backfill and uniform surcharge vol.26, pp.5, 2013, https://doi.org/10.12989/gae.2021.26.5.453