昇降時におけるエレベータ・ロープの横振動

概要

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The system composed of a rope with a time-varying length and two mass-spring systems hanging at its end is considered to be the analytical model of an elevator. The lateral oscillation of the rope is excited sinusoidally by the horizontal displacement at the upper end of the rope. There exists a problem of passage through resonance with a slowly varying natural frequency of the rope. Furthermore the lateral oscillation of the rope is coupled with the oscillation of the mass-spring system through nonlinear terms. First, we obtain the obvious approximate solution by the method of multiple scales with nonlinear scales. This solution is numerically derived for confirmation by the method of characteristics. It is examined that the moving velocity of the rope influences the maximum amplitude of the. rope oscillation. Our experimental results agree qualitatively with the theoretical ones. Furthermore, we show that the lateral oscillation of the rope and the vertical oscillation of the cab influence each other in a specific case.
一般社団法人日本機械学会の論文
1992-01-25