Abstract
Two types of spinning beam models, body-fixed rotor and space-fixed rotor, are available in the literatures. However, the appropriate selection of the models is not clear. This paper provides the comparison of both models and shows the proper applications of the models. The two formulations are derived using the extended Hamilton principle with three sequential Euler-angle rotations. Numerical method is used to obtain the frequencies and stabilities of the two models. It is found that the body-fixed rotor can be employed to describe the motion of a rotor driven by cardan joints, and the space-fixed rotor can be applied to describe the spinning motion about a fixed axle in space. The space-fixed rotor may lose stability due to self-excited vibration, while the body-fixed rotor will remain stable all along. The instability threshold of space-fixed rotor is obtained for different slenderness ratios. The clear distinguishment of the two models paves a better way to choose proper rotor models in different engineering applications.
Published Version
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