Abstract
In this paper, a model is proposed for analyzing the long-term responses of a liquid tank system to earthquake loads while taking soil interaction into account. Three degrees of freedom (DOFs) in the sway-rocking form and the monkey tail DOF are used to model the soil-foundation system, while the fluid in the tank is modeled as a 2-DOF lumped parameter using the substructure method. By using the MATLAB Simulink tool to numerically integrate the system of differential equations of motion, the response of the DOFs, shear force, and moment at the tank bottom can be tracked over time. The El Centro 1940 earthquake's acceleration excited a vertical cylindrical tank with a radius of 10 m and a water mass of 8 m; the results of the analysis show that the horizontal displacement of the convective mass increased by 16.36%, and the shear force and moment significantly increased in comparison to the case of the tank rigidly linked to the ground.
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