Nonlinear simulation of a tuned liquid damper with damping screens using a modal expansion technique

Tuned liquid dampers utilize sloshing fluid to control wind-induced structural motions. However, as a result of the nonlinear free surface boundary conditions of fluid sloshing in a two-dimensional rectangular container, a closed-form solution describing the response behaviour is unavailable. Modal expansions, which couple the sloshing modes, are carried out to the first, third and fifth order to construct a system of coupled nonlinear ordinary …