The stability of a shaft, free of unbalance, running in cylindrical journal bearings, was studied mathematically. Stability charts, calculated through linear theory, show especially the influence of changing the width ratio B/D on stability. Calculation of non-linear vibration yielded good agreement with previous experimental results, both for the ‘half-frequency whip’ and the ‘natural frequency whip’. ‘External’ damping force proved to be necessary for the finite rotor amplitude. With a simple damping formula stationary whip was then calculated. This result also seems to be proved by the experimental results.
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