DOI QR코드

DOI QR Code

Dynamic analysis of water storage tank with rigid block at bottom

  • Received : 2017.11.18
  • Accepted : 2018.01.22
  • Published : 2018.03.25

Abstract

The present paper deals with the finite element analysis of water tanks with rigid baffle. Fluid is discretized by two dimensional eight-node isoparametric elements and the governing equation is simulated by pressure based formulation to reduce the degrees of freedom in the domain. Both free vibration and force vibration analysis are carried out for different sizes and positions of block at tank bottom. The fundamental frequency depends on block height and it reduces with the increase of block height. The variation of hydrodynamic pressure on tank walls not only depends of the exciting frequency but also on the size and position of rigid block at tank bottom. The hydrodynamic pressure has higher value when the exciting frequency is equal and lower than the fundamental frequency of the water in the tank. Similarly, the hydrodynamic pressure increases with the increase of width of the block for all exciting frequencies when the block is at the centre of tank. The left and right walls of tank have experienced different hydrodynamic pressure when the block is placed at off-centre. However, the increase in hydrodynamic pressure on nearest tank wall becomes insignificant after a certain value of the distance between the wall and the rigid block.

Keywords

References

  1. Akyildiz, H. and Unal, E. (2012), "A numerical study of the effects of the vertical baffle on liquid sloshing in two dimensional rectangular tank", J. Sound Vib., 331(1), 41-52. https://doi.org/10.1016/j.jsv.2011.08.002
  2. Barrios, H.H., Zavoni, E.H. 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
  3. Biswal, K.C., Bhattacharyya, S.K. and Sinha P.K. (2006), "Non-linear sloshing in partially liquid filled containers with baffles", Int. J. Numer. Method. Eng., 68 (4), 317-337. https://doi.org/10.1002/nme.1709
  4. Celebi, M.S. and Akyildiz H. (2002), "Nonlinear modeling of liquid sloshing in a moving rectangular tank", J. Ocean Eng., 29(12), 1527-1553. https://doi.org/10.1016/S0029-8018(01)00085-3
  5. Chen, J.Z. and Kianoush, M.R. (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
  6. Cho, R.J. and Lee, H.W. (2005),"Finite element analysis of resonant sloshing response in 2-D baffled tank", J. Sound Vib., 288(5), 829-845. https://doi.org/10.1016/j.jsv.2005.01.019
  7. Cho, J.R. and Lee, H.W. (2004), "Numerical study on liquid sloshing in baffled tank by nonlinear finite element method", J. Comput. Method. Appl. M., 193(23), 2581-2598. https://doi.org/10.1016/j.cma.2004.01.009
  8. Cho, H.I. and Kim, H.M. (2016), "Effect of dual vertical porous baffles on sloshing reduction in a swaying rectangular tank", Ocean Eng., 126, 364-373. https://doi.org/10.1016/j.oceaneng.2016.09.004
  9. Ebrahimian, M., Noorian, M.A. and Haddadpour, H. (2013), "A successive boundary element model for investigation of sloshing frequencies in axis-symmetric multi-baffled containers", Eng. Anal. Bound. Elem., 37(2), 383-392. https://doi.org/10.1016/j.enganabound.2012.11.006
  10. Eswaran, M., Saha, U.K. and Maity, D. (2009), "Effect of baffles on a partially filled cubic tank: Numerical simulation and experimental validation", Comput. Struct., 87(4), 198-205. https://doi.org/10.1016/j.compstruc.2008.10.008
  11. Haroun, M.A. and Tayel, M.A. (1985), "Axisymmetrical vibration of tanks-analytical", J. Eng. Mech. - ASCE., 111(3), 346-358. https://doi.org/10.1061/(ASCE)0733-9399(1985)111:3(346)
  12. Jiang, M., Bing, R., Guoyu, W. and Young-xue, W. (2014), "Laboratory investigation of the hydro-elastic effect on liquid sloshing in rectangular tanks", J. Hydrodynamics, 26, 751-761. https://doi.org/10.1016/S1001-6058(14)60084-6
  13. Kilic, A.S. (2009), "Simulation of Sloshing Effects in Cylindrical Tanks and Evaluation of Seismic Performance", Lifeline Earthquake Engineering in a Multihazard Environment, ASCE.
  14. Kolaei, A., Rakheja, S. and Richard, M.J. (2015), "Three-dimensional dynamic liquid slosh in partially-filled horizontal tanks subject to simultaneous longitudinal and lateral excitations", Eur. J. Mech. B- Fluids., 53 (1), 251-263. https://doi.org/10.1016/j.euromechflu.2015.06.001
  15. Pal, N.C., Bhattacharyya, S.K. and Sinha R.K. (2001), "Experimental Investigation of Slosh Dynamics of Liquid-filled Containers", Exp. Mech., 41(1) 63-69. https://doi.org/10.1007/BF02323106
  16. Sygulski, R. (2011), "Boundary element analysis of liquid sloshing in baffled tanks", Eng. Anal. Bound. Elem., 35(8), 978-983. https://doi.org/10.1016/j.enganabound.2011.03.001
  17. Tang, Y. (1994), "Free vibration analysis of tank containing two liquids", J. Struct. Eng. - ASCE., 120(3), 618-636.
  18. Tung, C.C. (1979), "Hydrodynamic forces on submerged vertical circular cylindrical tanks underground excitation", J. Appl. Ocean Res., 275(1), 75-78.
  19. Virella, J.C., Prato, C.A. and Godoy, L.A. (2008), "Linear and nonlinear 2D finite element analysis of sloshing modes and pressures in rectangular tanks subject to horizontal harmonic motions", J. Sound Vib., 312(6), 442-460. https://doi.org/10.1016/j.jsv.2007.07.088
  20. Williams, A.N. and Moubayed, W.I. (1990), "Earthquake-induced hydrodynamic pressures on submerged cylindrical storage tanks", Ocean Eng., 17(3), 181-199. https://doi.org/10.1016/0029-8018(90)90002-N