A Time Domain Nonlinear Fluid–Structure–Soil Interaction Analysis of Rectangular Water Storage Tanks Using Coupled Eulerian–Lagrangian (CEL) Formulation and Direct Method

References

• Ali Goudarzi, M., and S. Reza Sabbagh-Yazdi. 2012. Investigation of nonlinear sloshing effects in seismically excited tanks. Soil Dynamics and Earthquake Engineering 43:355–65. doi:10.1016/j.soildyn.2012.08.001.
   Web of Science ®Google Scholar
• Babu, S. S., and S. K. Bhattacharyya. 1996. Finite element analysis of fluid-structure interaction effect on liquid retaining structures due to sloshing. Computers & Structures 59 (6):1165–71. doi:10.1016/0045-7949(95)00271-5.
   Web of Science ®Google Scholar
• Benson, D. J. 1992. Computational methods in Lagrangian Eulerian hydrocodes. Computer Methods in Applied Mechanics and Engineering 99 (2–3):235–394. doi:10.1016/0045-7825(92)90042-I.
   Web of Science ®Google Scholar
• Bielak, J., K. Loukakis, Y. Hisada, and C. Yoshimura. 2003. Domain reduction method for three-dimensional earthquake modeling in localised regions, part I: Theory. Bulletin of the Seismological Society of America 93 (2):817–24. doi:10.1785/0120010251.
   Web of Science ®Google Scholar
• Borja, R. I., W.-H. Wu, A. P. Amies, and H. A. Smith. 1994. Nonlinear lateral, rocking, and torsional vibration of rigid foundations. Journal of Geotechnical Engineering 120 (3):491–513. doi:10.1061/(ASCE)0733-9410(1994)120:3(491).
   Google Scholar
• Chen, W., M. A. Haroun, and F. Liu. 1996. Large amplitude liquid sloshing in seismically excited tanks. Earthquake Engineering & Structural Dynamics 25:653–69. doi:10.1002/(SICI)1096-9845(199607)25:7<653:AID-EQE513>3.0.CO;2-H.
   Web of Science ®Google Scholar
• Chouw, N. 2008. Unequal soil-structure interaction effect on seismic response of structure. Proceeding 18th New Zeal. Geotech. Soc. Geotech. Symp. Soil-Structure Interact. Rules Thumb to Real, Auckland, 214–19.
   Google Scholar
• Comodromos, E. M., and M. C. Papadopoulou. 2012. Response evaluation of horizontally loaded pile groups in clayey soils. Géotechnique 62 (4):329–39. doi:10.1680/geot.10.P.045.
   Web of Science ®Google Scholar
• Das, B. M. 1983. Fundamentals of soil dynamics. New York: Elsevier.
   Google Scholar
• Faltinsen, O. M., O. F. Rognebakke, I. A. Lukovsky, and A. N. Timokha. 2000. Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth. Journal of Fluid Mechanics 407:201–34. doi:10.1017/S0022112099007569.
   Web of Science ®Google Scholar
• Fatahi, B., and S. H. R. Tabatabaiefar. 2014. Fully nonlinear versus equivalent linear computation method for seismic analysis of midrise buildings on soft soils. International Journal of Geomechanics 14 (4):4014016. doi:10.1061/(ASCE)GM.1943-5622.0000354.
   Web of Science ®Google Scholar
• Fatahi, B., Q. Van Nguyen, R. Xu, and W. Sun. 2018. Three-dimensional response of neighboring buildings sitting on pile foundations to seismic pounding. International Journal of Geomechanics 18 (4):04018007. doi:10.1061/(asce)gm.1943-5622.0001093.
   Web of Science ®Google Scholar
• Ghanbari, A., and P. Abbasi Maedeh. 2015. Dynamic behaviour of ground-supported tanks considering fluid-soil-structure interaction (Case study: Southern parts of Tehran. Pollution 1:103–16.
   Google Scholar
• Hashemi, S., M. M. Saadatpour, and M. R. Kianoush. 2013. Dynamic behavior of flexible rectangular fluid containers. Thin-Walled Structures 66:23–38. doi:10.1016/j.tws.2013.02.001.
   Web of Science ®Google Scholar
• Higdon, R. L. 1990. Radiation boundary conditions for elastic wave propagation. SIAM Journal on Numerical Analysis 27 (4):831–69. doi:10.1137/0727049.
   Web of Science ®Google Scholar
• Hirt, C. W., and B. D. Nichols. 1981. Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics 39 (1):201–25. doi:10.1016/0021-9991(81)90145-5.
   Web of Science ®Google Scholar
• Hoskins, L. M., and L. S. Jacobsen. 1934. Water pressure in a tank caused by a simulated earthquake. Bulletin of the Seismological Society of America 24 (1):1–32. doi:10.1785/BSSA0240010001.
   Google Scholar
• Ibrahim, R. A., V. N. Pilipchuk, and T. Ikeda. 2001. Recent advances in liquid sloshing dynamics. Applied Mechanics Reviews 54 (2):133–99. doi:10.1115/1.3097293.
   Google Scholar
• Kianoush, M. R., and A. R. Ghaemmaghami. 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. Engineering Structures 33 (7):2186–200. doi:10.1016/j.engstruct.2011.03.009.
   Web of Science ®Google Scholar
• Kouroussis, G., O. Verlinden, and C. Conti. 2009. Ground propagation of vibrations from railway vehicles using a finite/infinite-element model of the soil. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail & Rapid Transit 223 (4):405–13. doi:10.1243/09544097JRRT253.
   Web of Science ®Google Scholar
• Kramer, S. L. 1996. Geotechnical earthquake engineering. New Jersey: Prentice Hall Upper Saddle River.
   Google Scholar
• Larkin, T. 2008. Seismic response of liquid storage tanks incorporating soil structure interaction. Journal of Geotechnical and Geoenvironmental Engineering 134 (12):1804–14. doi:10.1061/(ASCE)1090-0241(2008)134:12(1804).
   Web of Science ®Google Scholar
• Liu, D., and P. Lin. 2008. A numerical study of three-dimensional liquid sloshing in tanks. Journal of Computational Physics 227 (8):3921–39. doi:10.1016/j.jcp.2007.12.006.
   Web of Science ®Google Scholar
• Livaoglu, R. 2008. Investigation of seismic behavior of fluid–rectangular tank–soil/foundation systems in frequency domain. Soil Dynamics and Earthquake Engineering 28 (2):132–46. doi:10.1016/j.soildyn.2007.05.005.
   Web of Science ®Google Scholar
• Livaoglu, R., and A. Dogangun. 2007. Effect of foundation embedment on seismic behavior of elevated tanks considering fluid–structure-soil interaction. Soil Dynamics and Earthquake Engineering 27 (9):855–63. doi:10.1016/j.soildyn.2007.01.008.
   Web of Science ®Google Scholar
• Luo, C., X. Yang, C. Zhan, X. Jin, and Z. Ding. 2016. Nonlinear 3D finite element analysis of soil–pile–structure interaction system subjected to horizontal earthquake excitation. Soil Dynamics and Earthquake Engineering 84:145–56. doi:10.1016/j.soildyn.2016.02.005.
   Web of Science ®Google Scholar
• Lysmer, J., and R. L. Kuhlemeyer. 1969. Finite dynamic model for infinite media. Journal of the Engineering Mechanics Division 95 (4):859–77. doi:10.1061/JMCEA3.0001144.
   Google Scholar
• Maedeh, P. A., A. Ghanbari, and W. Wu. 2017. Investigation of soil structure interaction and wall flexibility effects on natural sloshing frequency of vessels. Civil Engineering Journal 3 (1):45–56. doi:10.28991/cej-2017-00000071.
   Google Scholar
• Maheshwari, B. K., K. Z. Truman, M. H. El Naggar, and P. L. Gould. 2004. Three-dimensional nonlinear analysis for seismic soil–pile-structure interaction. Soil Dynamics and Earthquake Engineering 24 (4):343–56. doi:10.1016/j.soildyn.2004.01.001.
   Web of Science ®Google Scholar
• Meng, X., X. Li, X. Xu, J. Zhang, W. Zhou, and D. Zhou. 2019. Earthquake response of cylindrical storage tanks on an elastic soil. Journal of Vibration Engineering & Technologies 7 (5):433–44. doi:10.1007/s42417-019-00141-0.
   Web of Science ®Google Scholar
• Nielsen, A. H. 2008. Boundary Conditions for Seismic Analysis. Seismic Analysis Using Finite Elem 21:7–11.
   Google Scholar
• Nielsen, A. H. 2014. Towards a complete framework for seismic analysis in Abaqus. Proceedings of the Institution of Civil Engineers - Engineering and Computational Mechanics 167 (1):3–12. doi:10.1680/eacm.12.00004.
   Google Scholar
• Ohayon, R., and R. Ibrahim. 2005. Liquid sloshing dynamics: Theory and applications. Cambridge: Cambridge University Press. ISBN 0-521-83885-1 pp. xxi+ 948,£ 160, US $275, hbk., J. Sound Vib. 315 (2008) 365–366.
   Google Scholar
• Ormeño, M., T. Larkin, and N. Chouw. 2019. Experimental study of the effect of a flexible base on the seismic response of a liquid storage tank. Thin-Walled Structures 139:334–46. doi:10.1016/j.tws.2019.03.013.
   Web of Science ®Google Scholar
• Park, D., and Y. M. A. Hashash. 2004. Soil damping formulation in nonlinear time domain site response analysis. Journal of Earthquake Engineering 8 (2):249–74. doi:10.1142/S1363246904001420.
   Web of Science ®Google Scholar
• Rawat, A., V. Mittal, T. Chakraborty, and V. Matsagar. 2019. Earthquake induced sloshing and hydrodynamic pressures in rigid liquid storage tanks analysed by coupled acoustic-structural and Euler-Lagrange methods. Thin-Walled Structures 134:333–46. doi:10.1016/j.tws.2018.10.016.
   Web of Science ®Google Scholar
• Rayleigh, J. W. S., and R. B. Lindsay. 1945. The theory of sound, 1st American ed., New York: Dover Publications.
   Google Scholar
• Rebouillat, S., and D. Liksonov. 2010. Fluid–structure interaction in partially filled liquid containers: A comparative review of numerical approaches. Computers & Fluids 39 (5):739–46. doi:10.1016/j.compfluid.2009.12.010.
   Web of Science ®Google Scholar
• Tippmann, J. D., S. C. Prasad, and P. N. Shah. 2009. SIMULIA Customer Conference: Conference Proceedings: May 18-21, 2009, London, England. 2-D tank sloshing using the Coupled Eulerian- LaGrangian (CEL) capability of Abaqus/Explicit, 1–11 2009. London, England: DS SIMULIA, 2009.
   Google Scholar
• Van Nguyen, Q., B. Fatahi, and A. S. Hokmabadi. 2016. The effects of foundation size on the seismic performance of buildings considering the soil-foundation-structure interaction. Structural Engineering and Mechanics 58 (6):1045–75. doi:10.12989/sem.2016.58.6.1045.
   Web of Science ®Google Scholar
• Veletsos, A. S. 1984. Seismic response and design of liquid storage tanks. Guidelines for the Seismic Design of Oil and Gas Pipeline Systems, 255–370. New York: ASCE.
   Google Scholar
• Veletsos, A. S., and J. W. Meek. 1974. Dynamic behaviour of building‐foundation systems. Earthquake Engineering & Structural Dynamics 3 (2):121–38. doi:10.1002/eqe.4290030203.
   Google Scholar
• Veletsos, A. S., and Y. Tang. 1990. Soil‐structure interaction effects for laterally excited liquid storage tanks. Earthquake Engineering & Structural Dynamics 19 (4):473–96. doi:10.1002/eqe.4290190402.
   Web of Science ®Google Scholar
• Virella, J. C., C. A. Prato, and L. A. Godoy. 2008. Linear and nonlinear 2D finite element analysis of sloshing modes and pressures in rectangular tanks subject to horizontal harmonic motions. Journal of Sound and Vibration 312 (3):442–60. doi:10.1016/j.jsv.2007.07.088.
   Web of Science ®Google Scholar
• Wolf, J. P. 1989. Soil-structure-interaction analysis in time domain. Nuclear Engineering & Design 111 (3):381–93. doi:10.1016/0029-5493(89)90249-5.
   Web of Science ®Google Scholar
• Yang, Y. B., and H. H. Hung. 2009. Soil vibrations caused by underground moving trains, wave propag. Train-Induced Vibrations 407–49. doi:10.1142/9789812835833_0010.
   Google Scholar
• Ying, L., X. Meng, D. Zhou, X. Xu, J. Zhang, and X. Li. 2019. Sloshing of fluid in a baffled rectangular aqueduct considering soil-structure interaction. Soil Dynamics and Earthquake Engineering 122:132–47. doi:10.1016/j.soildyn.2019.04.008.
   Web of Science ®Google Scholar
• Zhang, W., E. E. Seylabi, and E. Taciroglu. 2019. An ABAQUS toolbox for soil-structure interaction analysis. Computers and Geotechnics 114:103143. doi:10.1016/j.compgeo.2019.103143.
   Web of Science ®Google Scholar