Wind and Structures

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Numerical simulation of tuned liquid tank- structure systems through σ-transformation based fluid-structure coupled solver

  • Eswaran, M. (Structural and Seismic Engineering Section, Reactor Safety Division, Bhabha Atomic Research Centre) ;
  • Reddy, G.R. (Structural and Seismic Engineering Section, Reactor Safety Division, Bhabha Atomic Research Centre)
  • Received : 2015.07.28
  • Accepted : 2016.08.10
  • Published : 2016.11.25
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Abstract

Wind-induced and earthquake-induced excitations on tall structures can be effectively controlled by Tuned Liquid Damper (TLD). This work presents a numerical simulation procedure to study the performance of tuned liquid tank- structure system through ${\sigma}$-transformation based fluid-structure coupled solver. For this, a 'C' based computational code is developed. Structural equations are coupled with fluid equations in order to achieve the transfer of sloshing forces to structure for damping. Structural equations are solved by fourth order Runge-Kutta method while fluid equations are solved using finite difference based sigma transformed algorithm. Code is validated with previously published results. The minimum displacement of structure is observed when the resonance condition of the coupled system is satisfied through proper tuning of TLD. Since real-time excitations are random in nature, the performance study of TLD under random excitation is also carried out in which the Bretschneider spectrum is used to generate the random input wave.

Keywords

References

  1. American Concrete Institute Committee 350. (2006), "Seismic design of liquid-containing concrete structures" (ACI 350.3-06) and commentary (350.3R-06), American Concrete Institute, (2006) FarmingtonHills, Mich, USA
  2. Balendra, T., Wang, C.M. and Yan, N. (2001), "Control of wind-excited towers by active tuned liquid column damper", Eng. Struct., 23, 1054-1067. https://doi.org/10.1016/S0141-0296(01)00015-3
  3. Bhattacharjee, E., Halder, L. and Sharma, R.P. (2013), "An experimental study on tuned liquid damper for mitigation of structural response", Int. J. Adv. Struct. Eng., 5(3), 1-8. https://doi.org/10.1186/2008-6695-5-1
  4. Chang, C.H. (2011), "Computational fluid dynamics simulation for tuned liquid column dampers in horizontal motion", Wind Struct., 14(5), 435-447. https://doi.org/10.12989/was.2011.14.5.435
  5. Chern, M.J., Borthwick, A.G.L, and Taylor, R.E. (1999), "A Pseudospectral $\sigma$-transformation model of 2-D nonlinear waves", J. Fluid. Struct., 13, 607-630. https://doi.org/10.1006/jfls.1999.0221
  6. Cho, J.R. and Lee, H.W. (2005), "Free surface tracking for the accurate time response analysis of nonlinear liquid sloshing", J. Mech. Sci. Technol., 19(7), 1517-1525 https://doi.org/10.1007/BF03023910
  7. Corbi, O. (2006), "Experimental investigation on sloshing water dampers attached to rigid blocks", Proceedings of the 5th WSEAS International Conference on Applied Computer Science, Hangzhou, China.;
  8. De, A.K. (2014), "An implicit non-staggered Cartesian grid method for incompressible viscous flows in complex geometries", Sadhana, 39(5), 1071-1094. https://doi.org/10.1007/s12046-014-0269-y
  9. Dodge, F.T. (2000), "The new dynamic behavior of liquids in moving containers", Southwest Research Institute, San Antonio, Texas
  10. Donea, J. and Huerta, A. (2003), "Finite element methods for flow problems", John Wiley & Sons, Ltd., Chichester.
  11. Eswaran, M. and Reddy, G.R. (2015), "Effect of higher modes and multi-directional seismic excitations on power plant liquid storage pools", Earthq. Struct., 8(3), 779-799. https://doi.org/10.12989/eas.2015.8.3.779
  12. Eswaran, M. and Reddy, G.R. (2016), "Liquid sloshing in fuel storage bays of advanced reactor subjected to earthquake loading", Procedia Eng., 144, 1278-1285. https://doi.org/10.1016/j.proeng.2016.05.118
  13. Eswaran, M., Goyal, P., Reddy, G.R., Singh, R.K. and Vaze, K.K. (2013), "Fluid-structure interaction analysis of sloshing in an annular - sectored water pool subject to surge motion", Ocean Syst. Eng., 3(3), 1-21.
  14. Eswaran, M., Saha, U.K. and Maity, D. (2009), "Effect of baffles on partially filled cubic tank: Numerical simulation and experimental validation", Comput. Struct., 87(3-4), 198-205. https://doi.org/10.1016/j.compstruc.2008.10.008
  15. Eswaran, M., Verma, R.K. and Reddy, G.R. (2016), "Wind-induced loads and integrity assessment of hyperboloid reflector of solar power plants", Alexandria Eng. J., 55(2), 837-885. https://doi.org/10.1016/j.aej.2016.02.005
  16. Eswaran, M., Virk, A.S. and Saha, U.K. (2013), "Numerical simulation of 3-D sloshing waves in a regularly and randomly excited container in vertical direction", J. Marine Sci. Appl., 12(3), 298-314. https://doi.org/10.1007/s11804-013-1194-x
  17. Faltinsen, O.M. (1974), "A nonlinear theory of sloshing in rectangular containers", J. Ship Res., 18(4), 224-241.
  18. Faltinsen, O.M. and Timokha, A.M. (2002), "Asymptotic modal approximation of nonlinear resonant sloshing in a rectangular container with small fluid depth", J. Fluid Mech., 470, 319-357.
  19. Faltinsen, O.M., Rognebakke, O.F., Lukovsky, I.A. and Timokha, A.N. (2000), "Multidimensional modal analysis of nonlinear sloshing in a rectangular container with finite water depth", J. Fluid Mech., 407, 201-234. https://doi.org/10.1017/S0022112099007569
  20. Frandsen, J.B. (2004), "Sloshing in excited containers", J. Comput. Phys., 196, 53-87. https://doi.org/10.1016/j.jcp.2003.10.031
  21. Frandsen, J.B. (2005), "Numerical predictions of tuned liquid tank structural systems", J. Fluid. Struct., 20, 309-329. https://doi.org/10.1016/j.jfluidstructs.2004.10.003
  22. Frandsen, J.B. and Borthwick, A.G.L. (2003), "Simulation of sloshing motions in fixed and vertically excited containers using a 2-D inviscid $\sigma$-transformed finite difference solver", J. Fluid. Struct., 18, 197-214. https://doi.org/10.1016/j.jfluidstructs.2003.07.004
  23. Hill, D.F. (2003), "Transient and steady-state amplitudes of forced waves in rectangular basins", Phys. Fluid., 15(6), 1576-1587. https://doi.org/10.1063/1.1569917
  24. Housner, G.W. (1963), "Dynamic analysis of fluids in containers subjected to acceleration", Nuclear Reactors and Earthquakes, Report No. TID 7024, Washington D.C.,USA.
  25. Jeon, S.H., Seo, M.W., Cho, Y.U., Park, W.G. and Jeong, W.B. (2013), "Sloshing characteristics of an annular cylindrical tuned liquid damper for spar-type floating offshore wind turbine", Struct. Eng. Mech., 47(3), 331-343. https://doi.org/10.12989/sem.2013.47.3.331
  26. Jun, C., Sohn, J. and Lee, K. (2015), "Dynamic analysis of a floating body in the fluid by using the smoothed particle hydrodynamics", J. Mech. Sci. Technol., 29(7), 2607-2613. https://doi.org/10.1007/s12206-015-0505-3
  27. Kareem, A., Kijewski, T. and Tamura, Y. (1999), "Mitigation of motions of tall buildings with specific examples of recent applications", Wind Struct., 2 (3), 201-251. https://doi.org/10.12989/was.1999.2.3.201
  28. Kim, Y.M., You, K.P., Cho, J.E. and Hong, D.P. (2006), "The vibration performance experiment of tuned liquid damper and tuned liquid column damper", J. Mech. Sci. Technol., 20(6), 795-805. https://doi.org/10.1007/BF02915943
  29. Kim, Y.M., You, K.P., Ko, N.H. and Yoon, S.W. (2006), "Use of TLD and MTLD for control of wind-induced vibration of tall buildings", J. Mech. Sci. Technol., 20(9), 1346-1354. https://doi.org/10.1007/BF02915957
  30. Liu, D. and Lin, P. (2008), "A numerical study of three-dimensional liquid sloshing in tanks", J. Comput. Phys., 227, 3921-3939. https://doi.org/10.1016/j.jcp.2007.12.006
  31. Liu, M.Y., Chiang, W.L., Chu, C.R. and Shen, S. (2003), Analytical and experimental research on wind - induced vibration in high-rise buildings with tuned liquid column dampers", Wind Struct., 6(1), 71-90. https://doi.org/10.12989/was.2003.6.1.071
  32. Modi, V.J. and Akinturk, A. (2002), "An efficient liquid sloshing damper for control of wind-induced instabilities", J. Wind Eng. Ind. Aerod., 90(19), 1055-1071.
  33. Nolte, C. (2007), "One Rincon tower features water tank on top to counteract wind", http://www.sfgate.com/bayarea/article/One-Rincon-tower-features-water-tank-on-top-to-3299035.php.
  34. Ross, A.S., Damatty, A.A. and Ansary, A.M. (2015), "Application of tuned liquid dampers in controlling the torsional vibration of high rise buildings", Wind Struct., 21(5), 537-564. https://doi.org/10.12989/was.2015.21.5.537
  35. Tamura, Y. (1995), "Effectiveness of tuned liquid dampers under wind excitations", Eng. Struct., 17(9), 609-621. https://doi.org/10.1016/0141-0296(95)00031-2

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