Fluid-elastic structure interaction, otherwise known as hydroelasticity is an important branch of hydrodynamics. An improved hybrid numerical model is proposed in this paper to study the fluid-elastic structure interaction in time domain. The hybrid numerical model is a strongly coupled numerical model created by combining the Fully Nonlinear Potential flow (FNPT) model and the Navier-Stokes equation. The solution to FNPT model was estimated by using the finite element method and the NS model was solved using the Meshless Local Petrov-Galerkin (MLPG) method. The two models are strongly coupled in space and time. This hybrid model is once again, near strongly coupled with the structural solver. The structure used in this study has been numerically described using the Euler-Bernoulli beam equation based on finite element method. The performance of the model has been improved by incorporating the Arbitrary Eulerian-Lagrangian (ALE) scheme to assist particle movement. A new free surface detection scheme has also been incorporated. Further, three different schemes have been proposed and investigated in this paper for fluid (FNPT)-fluid (NS) -elastic structure (Euler-Bernoulli beam equation) coupling. Copyright © 2017 by the International Society of Offshore and Polar Engineers (ISOPE).