弾性棒を備えた回転体のコニカルモード不安定(機械力学,計測,自動制御)

概要

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This paper is concerned with the conical mode instability of a rotor equipped with flexible cantilever beams in the radial direction at regular intervals. The stability of the disturbed whirling motions of the system is investigated both by theory and experiments. The major results obtained are as follows: When the bending stiffness of the attached beam is isotropic, the conical mode whirling of the rotor can excite the beams only in planes containing the rotating axis of the rotor. In such a case the first natural frequency is always higher than rotating speed of the rotor so that the conical mode whirling motion is stable at any rotor speed. However, when the beam stiffness has a strong anisotropy, the vibration of the beam is excited in the most flexible direction where the first natural frequency can be lower than the rotor speed. Thus, the system can be unstable. A selfexcited whirling motion of the conical mode can be induced when and only when the rotor speed is nearly equal to the sum of the natural frequency of the forward-precession of the rotor and the first natural frequency of the beam. The theory is verified by the experiments.
一般社団法人日本機械学会の論文
2002-01-25