The calculations of stress distribution and mode frequencies of a turbine-generator mechanical system obtained by using the finite element method (FEM) are more accurate than those obtained by using the lumped parameter program. However, FEM is not capable of analyzing the disturbances coming from the generator. In this article, a modified dynamic program is used to simulate the shaft vibrations resulting from power system faults. The power spectrum density (PSD) method is adopted to assist in the analysis of shaft vibrations occurring at various frequencies. By PSD analysis of the global plant model, the resulting system parameters provide the necessary information on boundary and load conditions needed by FEM. ANSYS, the potent FEM software, is used to propose the prediction steps of the shaft-disc-blades system.