Analytical Solutions for Seismic Fluid-Structure Interaction of Head-Supported Cylindrical Tanks
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Engineering Mechanics
Volume 146, Issue 10
Abstract
Fluid-structure interaction (FSI) of earthquake shaking is a design consideration in the civil, nuclear, chemical, and mechanical industries. Preliminary sizing of structures and components in these industries will often use analytical solutions because there is insufficient information to warrant the analysis of numerical models. This study extends prior analytical work on seismic FSI of base-supported tanks in the 1980s to accommodate head-supported tanks with geometries similar to those proposed for new-build liquid (fluid)-filled advanced reactors. Analytical solutions are derived for flexible head-supported cylindrical tanks subjected to small-amplitude unidirectional horizontal seismic motion and address frequencies of lateral motions of the tank, hydrodynamic pressures, frequencies of waves, wave heights, and reactions at the head support. Solutions are presented for a range of tank dimensions and could be used for (1) preliminary design of head-supported cylindrical tanks and their supporting structures with idealized seismic input, and (2) verification of numerical models to be used for final seismic analysis, design, and probabilistic risk assessment.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
Data presented in Figs. 4–16 are in part available from the corresponding author upon reasonable request.
Acknowledgments
The work presented herein was funded in part by the Advanced Research Projects Agency-Energy (ARPA-E), US Department of Energy, under Award No. DE-AR0000978, and in part by TerraPower, Bellevue, Washington and the US Department of Energy under CRADA 14CR04. The views and opinions of the authors expressed herein do not necessarily state or reflect those of the U.S. Government or any agency thereof, or TerraPower.
References
Bleich, H. H., and F. DiMaggio. 1952. A strain-energy expression for thin cylindrical shells.. New York: Columbia Univ.
CEN (European Committee for Standardization). 1998. Soils, tanks and pipelines: Eurocode 8. Design provision of earthquake resistance of structures. Brussels, Belgium: CEN.
Chalhoub, M. S., and J. M. Kelly. 1988. Theoretical and experimental studies of cylindrical water tanks in base isolated structures. Berkeley, CA: Earthquake Engineering Research Center, Univ. of California.
Chellapandi, P., P. Puthiyavinayagam, V. Alasubramaniyan, S. Ragupathy, V. Rajanbabu, S. C. Chetal, and B. Raj. 2010. “Design concepts for reactor assembly components of 500 MWe future SFRs.” Nucl. Eng. Des. 240 (10): 2948–2956.
Chen, S. 1975. “Vibration of nuclear fuel bundles.” Nucl. Eng. Des. 35 (3): 399–422. https://doi.org/10.1016/0029-5493(75)90071-0.
Chen, S. 1977. “Dynamics of heat exchanger tube banks.” J. Fluids Eng. 99 (3): 462–467. https://doi.org/10.1115/1.3448815.
Chopra, A. K. 2012. Dynamics of structures: Theory and applications to earthquake engineering. 4th ed. Upper Saddle River, NJ: Prentice Hall.
Fujita, K., T. Ito, T. Shimomura, and M. Morishita. 1984. “Aseismic study on the reactor vessel of a fast breeder reactor.” Nucl. Eng. Des. 83 (1): 47–61. https://doi.org/10.1016/0029-5493(84)90028-1.
Gluekler, E. L. 1997. “U.S. advanced liquid metal reactor (ALMR).” Prog. Nucl. Energy 31 (1–2): 43–61. https://doi.org/10.1016/0149-1970(96)00003-0.
Haroun, M. A. 1980. Dynamic analyses of liquid storage tanks. Pasadena, CA: Earthquake Engineering Research Laboratory, California Institute of Technology.
Hjelmstad, K. D. 2010. Fundamentals of structural mechanics. 2nd ed. New York: Springer.
Hoskins, L. M., and L. S. Jacobsen. 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.
IAEA (International Atomic Energy Agency). 1999. Status of liquid metal cooled fast reactor technology. Vienna, Austria: IAEA.
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.
Jensen, S., and P. Ølgaard. 1995. Description of the prototype fast reactor at Dounreay. Roskilde, Denmark: Rise National Laboratory.
Ma, D. C., W. K. Liu, J. Gvildys, and Y. W. Chang. 1982. Seismically-induced sloshing phenomena in LMFBR reactor tanks. Lemont, IL: Argonne National Laboratory.
Malhotra, P. K., T. Wenk, and M. Wieland. 2000. “Simple procedure for seismic analysis of liquid-storage tanks.” Struct. Eng. Int. 10 (3): 197–201. https://doi.org/10.2749/101686600780481509.
Mir, F. U. H., C.-C. Yu, H. Charkas, and A. S. Whittaker. 2020. “Validation of numerical models for seismic fluid-structure interaction analysis of advanced reactors.” In Proc., 2020 Int. Congress on Advanced in Nuclear Power Plants (ICAPP 2020). Abu Dhabi, UAE: International Congress on Advances in Nuclear Power Plants.
Mir, F. U. H., C.-C. Yu, M. Cohen, P. Bardet, J. L. Coleman, and A. S. Whittaker. 2019. “Dataset generation for validation of fluid-structure interaction models.” In Proc., 25th Int. Conf. on Structural Mechanics in Reactor Technology (SMiRT-25). Raleigh, NC: International Association for Structural Mechanics in Reactor Technology.
Tang, Y. 1986. “Studies of dynamic response of liquid storage tanks.” Ph.D. dissertation, Dept. of Civil Engineering, Rice Univ.
Thomas, T. H., G. Yasui, R. H. Graham, R. A. Williamson, R. E. Lowe, and W. Hoak. 1963. Nuclear reactors and earthquakes. Washington, DC: Div. of Reactor Development, US Atomic Energy Commission.
Veletsos, A. 1984. “Seismic response and design of liquid storage tanks.” In Guidelines for the seismic design of oil and gas pipeline systems, 255–370. Reston, VA: Committee on Gas and Liquid Fuel Lifelines, ASCE.
Yang, J. 1976. “Dynamic behavior of fluid-tank systems.” Ph.D. dissertation, Dept. of Civil Engineering, Rice Univ.
Young, D., and R. P. Felgar. 1949. “Tables of characteristic functions representing normal modes of vibration of a beam.” Engineering Research Series No. 44. Austin, TX: Univ. of Texas.
Yu, C.-C. Forthcoming. “Verification and validation of numerical models for seismic fluid-structure-interaction analysis of liquid metal reactors.” Ph.D. dissertation, Dept. of Civil, Structural and Environmental Engineering, Univ. at Buffalo.
Yu, C.-C., F. U. H. Mir, M. Cohen, J. L. Coleman, P. Bardet, and A. S. Whittaker. 2019. “Verification of numerical models for seismic fluid-structure-interaction analysis of advanced reactors.” In Proc., 25th Int. Conf. on Structural Mechanics in Reactor Technology (SMiRT-25). Raleigh, NC: International Association for Structural Mechanics in Reactor Technology.
Yu, C.-C., A. S. Whittaker, J. L. Coleman, and M. Cohen. 2018. “Verification of a fluid-structure-interaction model for seismic analysis of Gen IV nuclear power plants.” In Proc., 11th National Conf. in Earthquake Engineering (11NCEE). Oakland, CA: Earthquake Engineering Research Institute.
Information & Authors
Information
Published In
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Nov 6, 2019
Accepted: Apr 16, 2020
Published online: Jul 23, 2020
Published in print: Oct 1, 2020
Discussion open until: Dec 23, 2020
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.