So far in the discussion we have illustrated the methods used for the dynamic analysis of mechanical systems. The main purpose of analysis has always been both to study forced motion and to study the stability of these systems and, therefore, analysis of perturbed motion around the steady-state or rest condition. In describing the various types of system which, we should remember, has been subdivided into dissipative systems and systems subject to force fields, we have included various examples of applications, with the main aim of better highlighting the problem and to better illustrate the methods of analysis used. The subject of rotordynamics which will be addressed in this chapter is now proposed with a dual purpose:• to provide basic knowledge to the engineer who has to handle the design and use of machinery, since rotors are essential and vital organs in any machinery; • to offer this subject, given the multitude of problems that it entails, as a valid example of the use of the techniques illustrated in the previous chapters.