弾性棒を備えた回転体の動的安定性

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  • Dynamic Stability of a Rotor Equipped with Flexible Cantilever Beams.
  • ダンセイボウ オ ソナエタ カイテンタイ ノ ドウテキ アンテイセイ

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There is a possibility that a rotor equipped with slender pendulums and flexible booms exposes a risk of its intense self-excited whirling and its attitude instability in a certain region of rotation speed. In previous paper we analyzed and experimented dynamic stability of a translation whirling motion of a rotor equipped with cantilever beams. We obtained the following conclusions by neglecting of an effect of centrifugal force acting on the beam. The system can become unstable when a rotational speed of an axis is nearly equal to a sum of the critical speed of a rotor without beams and the first mode natural frequency of a beam. Any higher mode vibration of a beam does not cause a self-excited vibration in the system. A mode of vibration of a beam changes under centrifugal force when the rotor is rotating. In this paper we investigated the natural mode under the force and how the change of the mode exert an influence on instability of the system, by using the Galerkin method and the Order N method developed by one of the authors. It was found that even the unstable region of the system, which is simply derived from the neglect of an effect of the centrifugal force, is accurate enough for practical purposes.

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