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Analytical and experimental study on natural sloshing frequencies in annular cylindrical tank with a bottom gap
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 Title & Authors
Analytical and experimental study on natural sloshing frequencies in annular cylindrical tank with a bottom gap
Lee, H.W.; Jeon, S.H.; Cho, J.R.; Seo, M.W.; Jeon, W.B.;
This paper is concerned with the analytical derivation of natural sloshing frequencies of liquid in annular cylindrical tank and its verification by experiment. The whole liquid domain is divided into three simple sub-regions, and the region-wise linearized velocity potentials are derived by the separation of variables. Two sets of matrix equations for solving the natural sloshing frequencies are derived by enforcing the boundary conditions and the continuity conditions at the interfaces between sub-regions. In addition, the natural sloshing frequencies are measured by experiment and the numerical accuracy of the proposed analytical method is verified through the comparison between the analytical and experimental results. It is confirmed that the present analytical method provides the fundamental sloshing frequencies which are in an excellent agreement with the experiment. As well, the effects of the tank radial gap, the bottom flow gap and the liquid fill height on the fundamental sloshing frequency are parametrically investigated.
liquid sloshing;annular cylindrical tank;natural frequency;three flow regions;linearized velocity potential;analytical derivation;experimental verification;
 Cited by
Akyildiz, A. (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. crossref(new window)

Amabili, M., Paidousis, M.P. and Lakis, A.A. (1998), "Vibrations of partially filled cylindrical tanks with ring-stiffners and flexible bottom", J. Sound Vib., 213(5), 259-299. crossref(new window)

Banerji, P. and Samanta, A. (2011), "Earthquake vibration control of structures using hybrid mass liquid damper", Eng. Struct., 33(4), 1291-1301. crossref(new window)

Baur, H.F. (1996), "Nonlinear mechanical model for the description of propellant sloshing", AIAA J., 4(9), 1662-1668.

Bhargava, K., Ghosh, A.K. and Ramanujam, S. (2005), "Seismic response and failure modes for a water storage structure-A case study", Struct. Eng. Mech., 20(1), 1-20. crossref(new window)

Chakraborty, S., Debbarma, R. and Marano, G.C. (2012), "Performance of tuned liquid column dampers considering maximum liquid motion in seismic vibration control of structures", J. Sound Vib., 331(7), 1519-1531. crossref(new window)

Cho, J.R., Song, J.M. and Lee, J.K. (2001), "Finite element techniques for the free-vibration and seismic analysis of liquid-storage tanks", Finite Elem. Anal. Des., 37, 467-483. crossref(new window)

Cho, J.R. and Song, J.M. (2001), "Assessment of classical numerical models for the separate fluid-structure modal analysis", J. Sound Vib., 239(5), 995-1012. crossref(new window)

Cho, J.R., Kim, K.W., Lee, J.K., Park, T.H. and Lee, W.Y. (2002), "Axisymmetric modal analysis of liquid-storage tanks considering compressibility effects", Int. J. Numer. Meth. Eng., 55, 733-752. crossref(new window)

Cho, J.R., Lee, H.W. and Kim, K.W. (2002), "Free vibration analysis of baffled liquid-storage tanks by the structural-acoustic finite element formulation", J. Sound Vib., 258(5), 847-866 crossref(new window)

Cho, J.R. and Lee, S.Y. (2003), "Dynamic analysis of baffled fuel-storage tanks using the ALE finite element method", Int. J. Numer. Meth. Fluid., 41, 185-208. crossref(new window)

Cho, J.R. and Lee, H.W. (2004), "Numerical study on liquid sloshing in baffled tank by nonlinear finite element method", Comput. Meth. Appl. Mech. Eng., 193, 2581-2598. crossref(new window)

Cho, J.R., Lee, H.W. and Ha, S.Y. (2005), "Finite element analysis of resonant sloshing response in 2-D baffled tank", J. Sound Vib., 288, 829-845. crossref(new window)

Colwell, S. and Basu, B. (2009), "Tuned liquid column dampers in offshore wind turbines for structural control", Eng. Struct., 31, 358-368. crossref(new window)

Dean, R.G. and Dalrymple, D. (1984), Water Wave Mechanics for Engineers and Scientists, 1st Edition, Prentice-Hall, New Jersey.

Greenberg, M.D. (1987), Foundations of Applied Mathematics, Prentice-Hall, New Jersey.

Ibrahim, R.A. (2005), Liquid Sloshing Dynamics, Theory and Applications, Cambridge University Press, New York.

Jia, D., Agrawal, M., Wang, C., Shen, J. and Malachowski, J. (2015), "Fluid-structure interaction of liquid sloshing induced by vessel motion in floating LNG tank", ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2015-41463.

Kim, H.J. and Adeli, A. (2005), "Hybrid control of irregular steel highrise building structures under seismic excitations", Int. J. Numer. Meth. Eng., 63(12), 1757-1774. crossref(new window)

Koh, C.G., Luo, M., Gao, M. and Bai, W. (2013), "Modeling of liquid sloshing with constrained floating baffle", Comput. Struct., 122, 270-279. crossref(new window)

Lee, H.H., Wong, S.H. and Lee, S.H. (2006), "Response mitigation on the offshore floating platform system with tuned liquid column damper", Ocean Eng., 33, 1118-1142. crossref(new window)

Love, J.S. and Tait, M.J. (2012), "A preliminary design for tuned liquid dampers conforming to space restrictions", Eng. Struct., 40, 187-197. crossref(new window)

Lukovsky, I., Ovchynnykov, D. and Timokha, A. (2012), "Asymptotic nonlinear multimodal modeling of liquid sloshing in an upright circular cylindrical tank. I. Modal equations", Nonlin. Oscillat., 14(4), 512-525. crossref(new window)

Morsy, H. (2010), "A numerical study of the performance of tuned liquid dampers", MD Thesis, MaMaster University, Hamilton, Canada.

Moslemi, M., Kianoush, M.R. and Pogorzelski, W. (2011), "Seismic response of liquid-filled elevated tanks", Eng. Struct., 33(6), 2074-2084. crossref(new window)

Tait, M.J., Isyumov, N. and El Damatty, A.A. (2004), "The efficiency and robustness of a uni-directional tuned liquid damper and modeling with an equivalent TMD", Wind Struct., 7(4), 235-250. crossref(new window)

Tedesco, J.W., Kostem, C.N. and Kalnins, A. (1987), "Free vibration of cylindrical liquid storage tanks", Comput. Struct., 26(6), 957-964. crossref(new window)

Veletsos, A.S. and Yang, J.Y. (1976), "Dynamics of fixed-based liquid-storage tanks", Proceedings of US-Japan Seminar Earthquake Engineering Research, 317-341.

Xue, M.A. and Lin, P. (2011), "Numerical study of ring baffle effects on reducing violent liquid sloshing", Comput. Fluid., 52, 116-129. crossref(new window)

Yamamoto, K. and Kawahara, M. (1999), "Structural oscillation control using tuned liquid damper", Comput. Struct., 71, 435-446. crossref(new window)