Technical Papers
Jul 23, 2020

Analytical Solutions for Seismic Fluid-Structure Interaction of Head-Supported Cylindrical Tanks

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Publication: 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.

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Data Availability Statement

Data presented in Figs. 416 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.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 146Issue 10October 2020

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

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Authors

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Ching-Ching Yu, S.M.ASCE [email protected]
Ph.D. Candidate, Dept. of Civil, Structural, and Environmental Engineering, Univ. at Buffalo, Buffalo, NY 14260-4300 (corresponding author). Email: [email protected]
Andrew S. Whittaker, Ph.D., F.ASCE [email protected]
State University of New York Distinguished Professor, Dept. of Civil, Structural, and Environmental Engineering, Univ. at Buffalo, Buffalo, NY 14260-4300. Email: [email protected]

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