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

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.