Seismic Response of Asymmetric Rectangular Liquid-Containing Structures
Publication: Journal of Engineering Mechanics
Volume 138, Issue 10
Abstract
A new formulation to investigate the seismic response of symmetric and asymmetric rectangular liquid-containing structures is developed and validated in this paper. The proposed method is based on a substructuring approach, where the flexible liquid-containing structure is modeled using finite elements, while the impulsive effects of the fluid domain are modeled analytically through interaction forces at the fluid-structure interfaces. The technique takes account of geometrical or material asymmetry of the liquid-containing structure, fluid compressibility, and energy dissipation through reservoir-bottom absorption. The formulation is presented in such a way that it can be easily coded into a practical and computationally efficient program and is applied to illustrative examples highlighting the effects of geometrical and material asymmetry on the dynamic responses of liquid-containing structures. The obtained frequency- and time-domain results are successfully validated against advanced finite-element analyses.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors would like to acknowledge the financial support of the Natural Sciences and Engineering Research Council of Canada (NSERC) and the Quebec Fund for Research on Nature and Technology (FQRNT).
References
ADINA Engineering. (2010). “ADINA theory and modeling guide.” Rep. ARD 10-7, Watertown, MA.
Balendra, T., Ang, K. K., Paramasivam, P., and Lee, S. L. (1982). “Seismic design of flexible cylindrical liquid storage tanks.” Earthquake Eng. Struct. Dynam., 10(3), 477–496.
Bouaanani, N., and Lu, F. Y. (2009). “Assessment of potential-based fluid finite elements for seismic analysis of dam–reservoir systems.” Comput. Struct., 87(3-4), 206–224.
Chopra, A. K. (1967). “Reservoir-dam interaction during earthquakes.” Bull. Seismol. Soc. Am., 57(4), 675–687.
Chopra, A. K. (1968). “Earthquake behavior of reservoir-dam systems.” J. Eng. Mech. Div., 94(EM6), 1475–1500.
Chopra, A. K. (1970). “Earthquake response of concrete gravity dams.” J. Eng. Mech. Div., 96(EM4), 443–454.
Everstine, G. C. (1981). “A symmetric potential formulation for fluid-structure interaction.” J. Sound Vibrat., 79(1), 157–160.
Fenves, G., and Chopra, A. K. (1984). “Earthquake analysis and response of concrete gravity dams.” Rep. No. UCB/EERC-84/10, Univ. of California, Berkeley, CA.
Graham, E. W., and Rodriguez, A. M. (1952). “Characteristics of fuel motion which affect airplane dynamics.” J. Appl. Mech., 19(3), 381–388.
J. F. Hall, ed. (1995). “Northridge earthquake of January 17, 1994: Reconnaissance report.” Earthquake spectra, 11, Suppl. C, Earthquake Engineering Research Institute, Oakland, CA.
Hall, J. F., and Chopra, A. K. (1982). “Two-dimensional dynamic analysis of concrete gravity and embankment dams including hydrodynamic effects.” Earthquake Eng. Struct. Dynam., 10(2), 305–332.
Hanson, R. D. (1973). “Behavior of liquid-storage tanks, the Great Alaska Earthquake of 1964.” Proc. Natl. Acad. Sci. U.S.A., 7, 331–339.
Haroun, M. A. (1983). “Vibration studies and tests of liquid storage tanks.” Earthquake Eng. Struct. Dynam., 11(2), 179–206.
Haroun, M. A. (1980). “Dynamic analyses of liquid storage tanks.” Rep. EERL 80-04, California Institute of Technology, Pasadena, CA.
Haroun, M. A., and Housner, G. W. (1981a). “Earthquake response of deformable liquid storage tanks.” J. Appl. Mech., 48(2), 411–418.
Haroun, M. A., and Housner, G. W. (1981b). “Seismic design of liquid storage tanks.” J. Tech. Councils, 107(1), 191–207.
Haroun, M. A., and Housner, G. W. (1982). “Complications in free vibration analysis of tanks.” Eng. Mech. Div., 108(5), 801–818.
Hoskins, L. M., and Jacobsen, L. S. (1934). “Water pressure in a tank caused by a simulated earthquake.” Bull. Seismol. Soc. Am., 24(1), 1–32.
Housner, G. W. (1957). “Dynamic pressures on accelerated fluid containers.” Bull. Seismol. Soc. Am., 47(1), 15–35.
Housner, G. W. (1963). “Nuclear reactors and earthquakes.” Rep. TID-7024, U.S. Atomic Energy Commission, Washington, DC.
Jacobsen, L. S. (1949). “Impulsive hydrodynamics of fluid inside a cylindrical tank and of fluid surrounding a cylindrical pier.” Bull. Seismol. Soc. Am., 39(3), 189–204.
Jacobsen, L. S., and Ayre, R. S. (1951). “Hydrodynamic experiments with rigid cylindrical tanks subjected to transient motions.” Bull. Seismol. Soc. Am., 41(4), 313–346.
Kana, D. D. (1979). “Seismic response of flexible cylindrical liquid storage tanks.” Nucl. Eng. Des., 52(1), 185–199.
Malhotra, P. K., Wenk, T., and Wieland, M. (2000). “Simple procedure for seismic analysis of liquid-storage tanks.” Struct. Eng. Int., 10(3), 197–201.
Steinberg, L. J., and Cruz, A. M. (2004). “When natural and technological disasters collide: Lessons from the Turkey earthquake of August 17, 1999.” Nat. Hazards Rev., 5(3), 121–130.
Steinbrugge, K. V., and Flores, R. (1963). “The Chilean earthquakes of May, 1960: A structural engineering viewpoint.” Bull. Seismol. Soc. Am., 53(2), 225–307.
Veletsos, A. S. (1974). “Seismic effects in flexible liquid storage tanks.” Proc., 5th World Conf. on Earthquake Engineering, Vol. 1, Rome, Italy, 630–639.
Veletsos, A. S., and Yang, J. Y. (1976). “Dynamics of fixed-base liquid storage tanks.” Proc., U.S.-Japan Seminar for Earthquake Engineering Research with Emphasis on Lifeline Systems, Kajima Foundation, Tokyo,317–341.
Veletsos, A. S., and Yang, J. Y.(1977). “Earthquake response of liquid storage tanks.” Proc., 2nd EMD Specialty Conf., ASCE, New York, 1–24.
Werner, P. W., and Sundquist, K. J. (1949). “On hydrodynamic earthquake effects.” Trans. Am. Geophys. Union, 30(5), 636–657.
Information & Authors
Information
Published In
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Oct 31, 2011
Accepted: Feb 22, 2012
Published online: Sep 14, 2012
Published in print: Oct 1, 2012
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.