Tuned liquid damper (TSD) is a passive structural vibration control tool which has been widely used due to its low installation and maintenance cost. Most of the previous approaches to simulate TSD were based on linear fluid theory to describe the flow dynamics inside the TSD and since the linear fluid theory is valid only in low amplitude excitations, these simulations cannot be referenced under intense excitation, such as high return period wind storms or earthquakes; and therefore a more physical-based simulation is required. In present work the sloshing water inside the TSD was simulated using Lagrangian meshfree Smoothed Particle Hydrodynamics (SPH), as a numerical method was used to investigate the effect of screens on dynamical behavior of TSD. An algorithm was developed based on a FORTRAN code and validated with multiple benchmark problems. A thoroughly parametric study on the screen location and solidity ratio is conducted via four TSD models and a wide range of excitation with dimensionless amplitudes and frequency of 0.01~0.07 and 0.6~1.5, respectively, that results in 392 computer runs. It is worth mentioning that the excitation has been chosen to cover a wide range of practical applications. Using these simulations, force history and dissipated energy spectrum were computed. Also, the modeling was extended to measure the TSD behavior as a simple mechanical mass-spring-damper model in which the mechanical parameters were estimated using nonlinear regression based on dissipated energy. Final results were presented as diagrams of effective mass, damping and frequency of TSD versus excitation amplitude. Keywords: Tuned Sloshing Damper, Smoothed Particle Hydrodynamics method, screens, damping, energy dissipation, sloshing