Seismic response of liquid-filled tank with baffles

Abstract

In thispaper, the effects of a rigid baffle on the seismic response of liquid in a rigid cylindrical tank are evaluated. A baffle is an annular plate which supplies a kind of passive control on the effects of ground excitation. The contained liquid is assumed incompressible, inviscid and has irrotational motion. To estimate the seismic response, the method of superposition of modes has been applied. To analyze the rigid tank response, Laplace’s equation is considered as the governing equation of the fluid domain, in both time and frequency domains. The boundary element method (BEM) is employed to evaluate the natural modes of liquid in a cylindrical tank. To gain this goal, the fluid domain is divided into two upper and lower parts partitioned by the baffle. Linearized kinematic and dynamic boundary conditions of the free surface of the contained liquid have been considered.

Keywords

seismic response / liquid storage tank / liquid-filled tank / rigid baffle / boundary element method (BEM)

References

[1] Askari E, Daneshmand F. Coupled vibration of a partially fluid-filled cylindrical container with a cylindrical internal body. Journal of Fluids and Structures, 2009, 25: 389-405

[2] Aslam M, Godden WG, Scalise DT. Earthquake sloshing in annular and cylindrical tanks. Journal of the Engineering Mechanics Division, ASCE, 1979, 105(3): 371-389

[3] Brebbia CA, Dominguez J. Boundary Elements, An Introductory Course, 1992, New York: CMP & McGraw-Hill

[4] Cho KH, Kim MK, Lim YM, Cho SY. Seismic response of base-isolated liquid storage tanks considering fluid-structure-soil interaction in time domain. Soil Dynamics and Earthquake Engineering, 2004, 24: 839-852

[5] Dodge FT. The new dynamic behavior of liquids in moving containers, San Antonio (TX), 2000

[6] Garza LR, Abramson HN. Measurements of liquid damping provided by ring baffles in cylindrical tanks, 1963

[7] Gedikli A. Fluid-structure interaction using variational BE-FE methods in cylindrical tanks, 1996, Istanbul, Turkey: Istanbul Technical University

[8] Gedikli A, Erguven ME. Seismic analysis of a liquid storage tank with a baffle. Journal of Sound and Vibration, 1999, 223: 141-155

[9] Hunt B. Seismic-generated water waves in axisymmetric tanks. Journal of Engineering Mechanics, ASCE, 1987, 113: 653-670

[10] Hunt B, Priestley N. Seismic water waves in a storage tank. Bulletin of the Seismological Society of America, 1978, 68: 487-499

[11] Kim Y-W, Lee Y-S. Coupled vibration analysis of liquid-filled rigid cylindrical storage tank with an annular plate cover. Journal of Sound and Vibration, 2005, 279: 217-235

[12] Koh HM, Kim JK, Park JH. Fluid-structure interaction analysis of 3D rectangular tanks by a variationally coupled BEM-FEM and comparison with test results. Earthquake Engng Struct Dyn, 1998, 27: 109-124

[13] Miles JW. Ring damping of free surface oscillations in a cylindrical tank. Journal of Applied Mechanics, 1958, 25: 274-276

[14] Mikelis NE, Journee JMJ. Experimental and numerical simulations of sloshing behavior in liquid cargo tanks and its effect on ship motions. National Conference on Numerical Methods for Transient and Coupled Problems, Venice, Italy, 1984

[15] Nielsen BN. Numerical prediction of green water loads on ships, 2003

[16] Shekari MR, Khaji N, Ahmadi MT. A coupled BE-FE study for evaluation of seismically isolated cylindrical liquid storage tanks considering fluid-structure interaction. Journal of Fluids and Structures, 2009, 25: 567-585

[17] Shrimali MK, Jangid RS. Seismic analysis of base-isolated liquid storage tanks. Journal of Sound and Vibration, 2004, 275: 59-75

[18] Vondorn WG. Boundary dissipation of oscillatory waves. Journal of Fluid Mechanics, 1966, 24: 769-779