Construction machinery used in public works is a source of noise and vibration that generate annoyance to the surrounding residential buildings. Thus, prediction of noise and vibration levels that will be induced by these construction activities is crucial for the construction project planning. The dynamic characterization of construction machinery as sources of ground borne vibration can be used for predicting vibration levels in the nearby buildings to the construction area. In this paper, a methodology for representing these ground-borne vibration sources using a set of hamonic point loads applied to the ground is presented. The method uses the method of fundamental solutions to determine a configuration of harmonic point loads which represents the original induced vibration field, obtained by an experimental measurement. To reduce the computational effort, a fast method for obtaining the response of the ground to multiple harmonic point loads is used. An example of the application of the method for the case of a perforating machine is also presented.