A Lagrangian displacement-based fluid element has been developed to model l
arge amplitude free surface motion of nearly incompressible viscous fluids
in a tank of rectangular cross-section under dynamic excitation for tuned l
iquid damper applications. The penalty method is employed to enforce the ne
arly incompressible characteristic of fluids considering the non-linear eff
ect of finite distortion of zero-shear and low-viscous fluid elements. The
effectiveness of the proposed model was verified by experimental results fr
om the literature. The results show that the proposed non-linear fluid elem
ent can predict non-linear behaviours of large amplitude sloshing due to dy
namic excitation, especially at near-resonant region. The proposed fluid el
ement can be conveniently incorporated into any existing general-purpose fi
nite element program to serve as an effective tool for the analysis and des
ign of tuned liquid dampers. Copyright (C) 1999 John Wiley & Sons, Ltd.