The biomechanical parameters of the multiple tissue layer structure of the vocal folds are of primary importance in order to understand their vibrating behaviour during phonation. A lot of models have been used to study the complex inhomogeneous structure of the vocal fold and its influence on the dynamics involved during the flow-induced vibration. However one of the major problem is to link all the different parameters of the physical models with the anatomical and physiological reality. The aim of this paper is to develop and describe a Finite Element Model for the vocal folds, using the open-source software FreeFem++. The study will use different continuum based models with increasing theoretical complexity and geometrical details. Starting with a simple 2D single layered structure using a linear elastodynamics theory, the model will tend - through different steps - to a 3D structure using a hydroelastic coupling. All these models are systematically compared with in-vitro measurements. The focus of this comparison is firstly upon the modal analysis of the vocal fold. A setup of experimental modal analysis, is used to characterize the frequency response of the vocal fold replica. The frequency responses of the measurement and its corresponding finite element model can then be compared.