2D higher order model for the dynamic analysis of bridge embankments

This work presents a new model for the linear dynamic analysis of bridge embankments which are symmetrical with respect to a longitudinal vertical plane. The embankment kinematics is described by using overall displacements of points lying on the symmetry plane. A higher order approach allows approximating the displacement field of the solid embankment. The problem is formulated in the frequency domain and the equilibrium equations are derived in weak from by means of the Lagrange D’Alembert principle. The solution is achieved numerically with a displacement based finite element approach. The model permits obtaining straightforwardly the dynamic impedances and the kinematic response functions of the embankment that, according to a substructure approach, may be used for the soil-structure interaction analysis of bridges. The model validation is carried out by means of numerical convergence analyses and by comparing results, in terms of dynamic impedances and kinematic response functions, with those obtained by means of 3D finite element models.