Seismic analysis of baffled liquid storage tanks using boundary element method

Authors
Tarbiat Modares University
Abstract
Nowadays, fluid storage tanks are as important as fluids in urban life. The dynamic behavior of this important structure is different from common structures. Baffles as a passive control device can reduce the effects of sloshing which reduces the structural response to seismic excitation. In this study, the effect of baffles on seismic response of cylindrical vertical liquid storage tanks is investigated. The considered baffle is an annular plate with constant level from the base and constant inner diameter fixed on wall of the tank. Considering Laplace equation as the governing equation of fluid domain, and using boundary element method, a rigid tank is analyzed in the frequency and time domains. Afterwards, the baffle effects on natural frequency (in the frequency domain), and on base shear and overturning moment (in the time domain) due to El Centro and Erzincan earthquakes are investigated. Based on the results of mentioned analyses, it is observed that when the baffle is installed, the natural frequency of liquid domain reduces. Moreover, by installing the baffle, the base shear slightly increases whereas overturning moment remarkably reduces.

Keywords


[1]    Mikishev, G. and Dorozhkin, N., (1961), “An experimental investigation of free oscillation of a liquid in containers,” Mekhanika I mashinostroenie, 4, pp 48–83.
[1]    Biswal, K., Bhattacharyya, S. and Sinha, P., (2003), “Free-vibration analysis of liquid-filled tank with baffles,” Journal of Sound and Vibration, 259, pp 177–192.
[2]    Miles, J.W., (1958), “Ring damping of free surface oscillations in cylindrical tank,” Journal of Applied Mechanics, 25, pp 274–276.
[3]    Silveria, M.A., Stephens, D.G. and Leonard, H.W., (1961), “An experimental investigation of damping of liquid oscillations in cylindrical tanks with various baffles,” NASA Report TN–715.
[4]    Welt, F. and Modi, V.J., (1992), “Vibration damping through liquid sloshing, Part I: a nonlinear analysis,” Journal of Vibration and Acoustics, 114, pp 10–16.
[5]    Maleki, A. and Ziyaifar, M., (2008), “Sloshing damping in cylindrical liquid storage tank with baffles,” Journal of Sound and Vibration, 311, pp 372–385.
[6]    Gedikli, A. and Erguven, M.E., (1999), “Seismic analysis of liquid storage tank with baffle,” Journal of Sound and Vibration, 223, pp 141–155.
[7]    Cho, J.R., Lee, H.W. and Kim, K.W., (2002). “Free vibration analysis of baffled liquid-storage tanks by structural al-acoustic finite element formulation,” Journal of Sound and Vibration, 258, pp 847–866.
Cho, J.R. and Lee, H.W., (2004). “Numerical study on liquid sloshing in baffled tank by nonlinear finite element method,” Computer Methods in Applied Mechanics and Engineering,
[1]    193, pp 2581–2598.
[2]    Cho, J.R., Lee, H.W. and Ha, S.Y., (2005), “Finite element analysis of resonant sloshing response in 2-D baffled tank,” Journal of Sound and Vibration, 288, pp 829–845.
[3]    Firouz-Abadi, R.D., Haddadpour, H., Noorian, M.A. and Ghasemi, M., (2008), “A 3D BEM model for liquid sloshing in baffled tanks,” International Journal for Numerical methods in Engineering, 76, pp 1419–1433.
[4]  عرب، م.ح.، (1389)." آنالیز لرزه­ای مخازن ذخیره سیال دارای تیغه­های میراگر با درنظرگرفتن اندرکنش سازه و سیال". پایان­نامه کارشناسی­ارشد مهندسی عمران، گرایش سازه­های هیدرولیکی، دانشگاه تربیت مدرس.
[5]    Francois, A. and Jose, A., (2007), “Modelling of mechanical systems fluid-structure Interaction,” Butterworth-Heinemann, Elsevier.
[6]    Brebbia, C. and Dominguez, J., (1992), “Boundary Elements: An Introductory Course,” WIT Press, Computational Mechanics Publications.
[7]    Veletsos, A., & Tang, Y. (1987). “Rocking response of liquid storage tanks,” ASCE Journal of Engineering Mechanics 113, 1774–1792.
[8]  رحیم زاده رفوئی، ف.، باقری کلجاهی، س.، (1382). بررسی رفتار دینامیکی مخازن روزمینی انعطاف­پذیر. چهارمین کنفرانس بین المللی زلزله­شناسی و مهندسی زلزله.
Shekari, M.R., Khaji, N., Ahmadi, M.T., (2010). On the seismic behavior of cylindrical base-isolated liquid storage tanks excited by long-period ground motions,” Soil Dynamics and Earthquake Engineering, 30, pp 968–980.