Semi-analytical modeling of ground/plate interaction for general elastic boundary conditions

This letter introduces ground/plate interaction using the concept of ground cross-modal impedance in the case of general elastic boundary conditions. Navier equations are generally used to account for ground vibration with two propagating waves, the dilatational wave and the shear wave. The plate equation of motion follows the Kirchhoff-Love hypothesis, where shear and rotational inertia are neglected in the plate thickness. The general elastic boundary conditions are expressed analytically through a two-dimensional Fourier series in the plate displacement solution. This study shows that the plate general boundary conditions have a small influence on the plate velocity. However, two categories of boundary conditions could be implemented, especially at low frequency.