This work presents a combined analytical/numerical methodology, predicting the behaviorof unanchored liquid storage tanks subjected to seismic excitation. First, the dynamic response of the system and the resulting hydrodynamic loads are determined by employing a simplified dynamic model. According to this model, the base uplift of the container isrepresented by an equivalent nonlinear rotational spring, placed between the foundation and the base plate of the tank. The characteristics of this spring are determined from static considerations, by applying standard finite element methodologies. Taking into account the form of the uplift spring stiffness, comprehensive parametric studies on the dynamics of unanchored liquid containers are first performed, in a systematic way. The results of these studies provide valuable insight into the role of the system parameters on its response. Once the dynamic loads are determined, a stress and buckling analysis can be performed, by employing finite element modeling again. The validity of the findings of the present work is checked through comparisons with experimental results.
Issue Section:
Research Papers
1.
Abramson, H. N., ed., 1966, “The Dynamic Behavior of Liquids in Moving Containers,” NASA SP-106.
2.
ANSYS User’s Manual, 1992, Revision 5.0, ed., P. Kohnke, Swanson Analysis Systems, Inc., Houston, PA.
3.
Auli, W., Fischer, D. F., and Rammerstorfer, F. G., 1985, “Uplifting of Earthquake Loaded Liquid Filled Tanks,” ASME PVP Conference, New Orleans, LA.
4.
Bajaj
A. K.
Johnson
J. M.
1990
, “Asymptotic Techniques and Complex Dynamics in Weakly Nonlinear Forced Mechanical Systems
,” International Journal of Nonlinear Mechanics
, Vol. 25
, pp. 211
–226
.5.
Balendra, T., and Nash, W. A., 1978, “Earthquake Analysis of a Cylindrical Liquid Storage Tank with a Dome by the Finite Element Method,” Report No. UMASS-NV-76-14833-1, University of Massachusetts, Amherst, MA.
6.
Begley, C. J., 1993, “Dynamics of Unanchored Liquid Containers under Harmonic Base Excitation,” M.S. thesis, Arizona State University, Tempe, AZ.
7.
Clough, R. W., and Penzien, J., 1975, Dynamics of Structures, McGraw-Hill, New York, NY.
8.
Clough, R. W., and Niwa, A., 1979, “Static Tilt Tests of a Tall Cylindrical Liquid Storage Tank,” UC Berkeley Report No. UCB/EERC-79-06, U.C. Berkeley, Berkeley, CA.
9.
Daysal, H., and Nash, W. A., 1984, “Soil-Structure Interaction Effects on the Seismic Behavior of Cylindrical Liquid Storage Tanks,” Proceedings, 8th World Conference on Earthquake Engineering, San Francisco, CA, Vol. 7, pp. 445–452.
10.
Haroun, M. A., 1980, “Dynamic Analyses of Liquid Storage Tanks,” Ph.D. thesis, Report No. EERL 80-04, California Institute of Technology, Pasadena, CA.
11.
Haroun
M. A.
Ellaithy
H. M.
1985
, “Model for Flexible Tanks Undergoing Rocking
,” ASCE Journal of Engineering Mechanics
, Vol. 111
, pp. 143
–157
.12.
Haroun, M. A., and Chen, W., 1988, “Seismic Large Amplitude Liquid Sloshing Theory,” Proceedings of ASCE Structures Congress, San Francisco, CA.
13.
Housner
G. W.
1957
, “Dynamic Pressures on Accelerated Liquid Containers
,” B.S.S.A.
, Vol. 47
, pp. 13
–35
.14.
Ishida
K.
Kobayashi
N.
1988
, “An Effective Method of Analyzing Rocking Motion of Unanchored Cylindrical Tanks Including Uplift
,” ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol. 110
, pp. 76
–87
.15.
Liu, W. K., 1980, “Development of Finite Element Procedures for Fluid-Structure Interaction,” Ph.D. thesis, Report No. EERL 80-06, California Institute of Technology, Pasadena, CA.
16.
Manos, G. C., and Clough, R. W., 1988, “Further Study of the Earthquake Response of a Broad Cylindrical Liquid Storage Tank Model,” Report No. UCB/EERC-82/07, U.C. Berkeley, Berkeley, CA.
17.
Natsiavas, S., 1987, “Response and Failure of Fluid-Filled Tanks under Base Excitation,” Ph.D. Thesis, GALCIT SM Report No. 86-26, California Institute of Technology, Pasadena, CA.
18.
Natsiavas
S.
Babcock
C. D.
1988
,“An Analytical Model for Unanchored Fluid-Filled Tanks under Base Excitation
,” ASME Journal of Applied Mechanics
, Vol. 55
, pp. 648
–659
.19.
Natsiavas
S.
1990
, “Simplified Models for the Dynamic Response of Tall Unanchored Liquid Containers
,” ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol. 112
, pp. 124
–131
.20.
Natsiavas
S.
1993
, “Dynamics of Multiple Degree of Freedom Oscillators With Colliding Components
,” Journal of Sound Vibration
, Vol. 165
, pp. 439
453
.21.
Niwa, A., 1978, “Seismic Behavior of Tall Liquid Storage Tanks,” Report No. UCB/EERC-78/04, U.C. Berkeley, Berkeley, CA.
22.
Peek, R., 1986, “Simplified Analysis of Unanchored Liquid Storage Tanks under Seismic Loads,” Ph.D. Thesis, Report No. EERL 86-01, California Institute of Technology, Pasadena, CA.
23.
Peek
R.
Jennings
P. C.
1988
, “Analysis of Unanchored Liquid Storage Tanks Under Lateral Loads
,” Earthquake Engineering and Structural Dynamics
, Vol. 16
, pp. 1073
–1100
.24.
Peterson, P. J., 1994, “Analysis of the Response of Unanchored Fluid-Filled Tanks using a Finite Element Software Package,” M.S. thesis, Arizona State University, Tempe, AZ.
25.
Shih, C.-F., 1981, “Failure of Liquid Storage Tanks due to Earthquake Excitation,” Ph.D. thesis, Report No. EERL 81-04, California Institute of Technology, Pasadena, CA.
26.
Shih
C.-F.
Babcock
C. D.
1987
, “Buckling of Oil Storage Tanks in SPPL Tank Farm during the 1979 Imperial Valley Earthquake
,” ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol. 109
, pp. 249
–255
.27.
Tang
Y.
1993
, “Dynamic Response of Tank Containing Two Liquids
,” ASCE Journal of Engineering Mechanics
, Vol. 119
, pp. 531
–548
.28.
Timoshenko, S., and Woinowsky-Krieger, S., 1987, Theory of Plates and Shells, 2nd Edition, McGraw-Hill, New York, NY.
29.
Veletsos, A. S., and Young, J. Y., 1976, “Dynamics of Fixed-Base Liquid Storage Tanks,” US-Japan Seminar for Earthquake Engineering Research, Tokyo, Japan.
30.
Veletsos
A. S.
Tang
Y.
1986
, “Dynamics of Vertically Excited Liquid Storage Tanks
,” ASCE Journal of Structural Engineering
, Vol. 112
, pp. 1228
–1246
.31.
Veletsos
A. S.
Shivakumar
1993
, “Sloshing Response of Layered Liquids in Rigid Tanks
,” Earthquake Engineering and Structural Dynamics
, Vol. 22
, pp. 801
–821
.32.
Wiggins, S., 1990, Introduction to Applied Nonlinear Dynamical Systems, Springer, New York, NY.
33.
Wozniak, R. S., and Mitchell, W. W., 1978, “Basis of Seismic Response Provisions for Welded Oil Storage Tanks,” API Convention, Toronto, Canada.
34.
Yi
W.
Natsiavas
S.
1992
, “Seismic Response of Unanchored Fluid-Filled Tanks using Finite Elements
,” ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol. 114
, pp. 74
–79
.
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