Torsional vibration analysis is a cheap, fast and efficient tool when it comes to evaluating the performance and safety of a propulsion plant. The present paper introduces the basic mathematical concepts of three different approaches to torsional vibration analysis: natural frequency analysis, forced vibration analysis and transient analysis. The second half of the paper is dedicated to jive real life examples of the application of the three approaches. The examples cover natural frequencies and natural modes, single harmonic excitation, realistic harmonic excitation, the dynamics during run-up and finally the dynamics for a System equipped with a coupling with progressive stiffness.

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