Quantification of nonlinear seismic response of rectangular liquid tank

作者: Santosh Kumar Nayak , Kishore Chandra Biswal

DOI: 10.12989/SEM.2013.47.5.599

关键词: MechanicsClassical mechanicsConvectionNumerical stabilityFree surfaceFinite element methodVelocity potentialNonlinear systemLaplace's equationBoundary value problemPhysics

摘要: Seismic response of two dimensional liquid tanks is numerically simulated using fully nonlinear velocity potential theory. Galerkin-weighted-residual based finite element method used for solving the governing Laplace equation with free surface boundary conditions and also recovery. Based on mixed Eulerian-Lagrangian (MEL) method, fourth order explicit Runge-Kutta scheme time integration conditions. A cubic-spline fitted regridding technique at every step to eliminate possible numerical instabilities account Lagrangian node induced mesh distortion. An artificial damping term which mimics viscosity brings in stability. Four earthquake motions have been suitably selected study effect frequency content dynamic tank-liquid system. The seismic vis-a-vis linear rectangular tank has studied. impulsive convective components hydrodynamic forces, e.g., base shear, overturning moment pressure distribution tank-wall are quantified. It observed that system very much sensitive ground motion. Such sensitivity more pronounced shallow tanks.

参考文章(19)
Odd M. Faltinsen, A numerical nonlinear method of sloshing in tanks with two-dimensional flow Journal of Ship Research. ,vol. 22, pp. 193- 202 ,(1978) , 10.5957/JSR.1978.22.3.193
G.X. Wu, R. Eatock Taylor, Finite element analysis of two-dimensional non-linear transient water waves Applied Ocean Research. ,vol. 16, pp. 363- 372 ,(1994) , 10.1016/0141-1187(94)00029-8
N.C. Pal, S.K. Bhattacharyya, P.K Sinha, Non-linear coupled slosh dynamics of liquid-filled laminated composite containers: a two dimensional finite element approach Journal of Sound and Vibration. ,vol. 261, pp. 729- 749 ,(2003) , 10.1016/S0022-460X(02)01011-8
S. Mitra, K.P. Sinhamahapatra, Slosh dynamics of liquid-filled containers with submerged components using pressure-based finite element method Journal of Sound and Vibration. ,vol. 304, pp. 361- 381 ,(2007) , 10.1016/J.JSV.2007.03.014
H HERNANDEZBARRIOS, E HEREDIAZAVONI, A ALDAMARODRIGUEZ, Nonlinear sloshing response of cylindrical tanks subjected to earthquake ground motion Engineering Structures. ,vol. 29, pp. 3364- 3376 ,(2007) , 10.1016/J.ENGSTRUCT.2007.08.023
J. R. Cho, H. W. Lee, Non-linear finite element analysis of large amplitude sloshing flow in two-dimensional tank International Journal for Numerical Methods in Engineering. ,vol. 61, pp. 514- 531 ,(2004) , 10.1002/NME.1078
K. C. Biswal, S. K. Bhattacharyya, P. K. Sinha, Non-linear sloshing in partially liquid filled containers with baffles International Journal for Numerical Methods in Engineering. ,vol. 68, pp. 317- 337 ,(2006) , 10.1002/NME.1709
W. CHEN, M. A. HAROUN, F. LIU, LARGE AMPLITUDE LIQUID SLOSHING IN SEISMICALLY EXCITED TANKS Earthquake Engineering & Structural Dynamics. ,vol. 25, pp. 653- 669 ,(1996) , 10.1002/(SICI)1096-9845(199607)25:7<653::AID-EQE513>3.0.CO;2-H
Gonzalo S. Leon, Eduardo A. M. Kausel, Seismic Analysis of Fluid Storage Tanks Journal of Structural Engineering-asce. ,vol. 112, pp. 1- 18 ,(1986) , 10.1061/(ASCE)0733-9445(1986)112:1(1)