Structure-fluid interaction model of tuned liquid dampers

A Lagrangian displacement-based #uid element has been developed to model large amplitude free surface motion of nearly incompressible viscous #uids in a tank of rectangular cross-section under dynamic excitation for tuned liquid damper applications. The penalty method is employed to enforce the nearly incompressible characteristic of #uids considering the non-linear e!ect of "nite distortion of zero-shear and low-viscous #uid elements. The e!ectiveness of the proposed model was veri"ed by experimental results from the literature. The results show that the proposed non-linear #uid element can predict non-linear behaviours of large amplitude sloshing due to dynamic excitation, especially at near-resonant region. The proposed #uid element can be conveniently incorporated into any existing general-purpose "nite element program to serve as an e!ective tool for the analysis and design of tuned liquid dampers