三自由度防振支持系の共振点通過現象(機械力学,計測,自動制御)

概要

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In this paper, we deal with transient nonlinear vibrations of a three-degrees-of-freedom vibration isolation system during passage through resonance. The DC motor with a limited electric current directly drives an unbalanced rotor in the system with/without '2-1-1' internal resonance. The basic equations governing such a transient vibration of the system, which take into account the second order geometrical nonlinearities of the displacements, are derived. The first order ordinary differential equations, which describe the electric current, the unsteady angular velocity of the rotor, the amplitudes and phases of the vertical, horizontal and rotational vibrations of the system are led with the use of the averaging method near the resonance frequency of a vertical vibration from the basic equations. The characteristics of the displacements, an angular velocity of the rotor and the electric current are theoretically examined during passage through resonance, in order to clarify the influences of the internal resonance and the limitation of the electric current. Finally the transient vibrations during passage through resonance are observed using the three-degrees-of-freedom experimental setup, and compared with the theoretical ones.
社団法人日本機械学会の論文
2006-07-25