This master thesis work is focused on the analysis of complex rotating systems, subjected to plausible operating conditions in the practical reality of aeronautical applications. The rotordynamic effects introduced by the centrifugal force are here evaluated; in particular, the analysis will be carried out considering discs with constant and variable thickness, which are assumed to be keyed to the hub or supported by a flexible, deformable shaft. The contributions of the pre-stress are obtained through the integration of a three-dimensional state of tension, which is generated by the centrifugal and thermal loads, multiplied by the non-linear terms of the deformation field.