Lateral and Torsional Rotordynamic Analyses
The analyses are normally carried out according to standards, e.g. the standards of API (American Petroleum Institute). Typically components such as bearings and couplings are tuned in order to fulfil specifications.

Torsional natural vibration mode of a system consisting of motor, gear and compressor

Resonance curve of the lateral vibrations of a steam turbine rotor

Lateral shape in the resonance