This paper presents an approach for model order reduction of linear rotordynamical systems resulting from the accurate modeling of large machines with a rotor. Automatically partitioning the overall model into decoupled sub-models, describing the main components, namely, rotor, bearing and housing, allows these to be separately considered, and if necessary, reduced using a suitable reduction method. For instance, for large-sized systems with Krylovsubspace methods. The resulting subsystems are then re-coupled to deliver a reduced-order model of the overall machine which can be simulated far faster then when compared to the original one. As an example, the method presented here is applied to reduce a simplified finiteelement model of a gas compressor drive.