Finite element analysis of the seismic response of anchored and unanchored liquid storage tanks

TLDR

Finite element analysis has been used to study the seismic response of liquid‑filled cylindrical storage tanks. The study employed added‑mass concepts and displacement‑based fluid finite elements to capture liquid effects. Simplified modal analyses accurately predict behavior of anchored tanks, while time‑history studies reveal that unanchored or flexibly anchored tanks can experience substantially higher stresses and floor loads, underscoring the need to account for restraint conditions in seismic design.

Abstract

Abstract The seismic response of liquid‐filled cylindrical storage tanks has been investigated using finite element techniques implemented in the general purpose structural analysis computer code ANSYS. Both added mass concepts and displacement‐based fluid finite elements were employed to allow for the effects of the liquid. Simplified response spectrum modal analyses of a tank making use of the axisymmetric harmonic displacement patterns of the principal modes of deformation were found to give accurate predictions of the tank behaviour with a rigidly anchored base. Time history analyses of three‐dimensional finite element models of unanchored and flexibly anchored tanks, with gap conditions between the tank base and the supporting floor to allow lift‐off of the base, indicated that stresses in the tank and resultant loads on the floor can be much greater than for a rigidly restrained tank. These results demonstrate the importance of carefully considering the restraint conditions when performing seismic design calculations on storage tanks.