TIME–HARMONIC ELASTODYNAMIC GREEN FUNCTIONS OF PLATES FOR LINE LOADS

In this paper the Fourier transform is used to derive the elastodynamic Green function of a plate on a viscoelastic foundation subjected to impulse and harmonic line loads. The solution is first given as a convolution of the Green function of the plate. Poles of the integrand in the integral representation of the solution are identified for different cases of damping and load frequency. The Green function corresponding to an impulse line load is obtained and can be numerically computed. The theorem of residue is then utilized to evaluate the generalized integral of the Green function corresponding to a harmonic line load. This representation permits one to construct algorithms for the parameter identification of the inverse problem involved in a pavement non-destructive test. Validation of the result is partly verified by comparing the static solution of a point source obtained from this paper to a well-known result.