The relationship between eigenvalue loci for the rotor-bearing systems and the onset of instability due to oil-whirl, is utilized to derive an algorithm to control the onset of instability. Implementation of the algorithm is discussed. It is shown how this can be combined with an open-loop adaptive control strategy to ensure the stability of a flexible rotor and also minimize the synchronous vibration throughout the operational speed range.
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Şahinkaya et al. (1985) studied this question.
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