A transient problem of a moving concentrated force along the surface of an elastic halfspace is considered. The resonant regime is analyzed, when the speed of the load coincides with that of the Rayleigh wave speed. The near-field solution is constructed through the asymptotic model for the Rayleigh wave. Analysis of the hyperbolic equation gives solution at the surface, serving as a Dirirchlet type boundary condition for the elliptic equation governing the decay over the interior.