1自由度エレベータモデルによるロープ横振動の評価

抄録

An elevator car is suspended by ropes to move vertically along the elevator shaft. When the car stops at a specific floor in the building, the car might receive a large rope sway due to an enforced motion of the building during a strong wind or a big earthquake. Several modelings of the elevator rope sway have been proposed. One derives a difference equation against the wave propagation equation of the string vibration to evaluate the resonance behavior of the elevator suspension rope. As another modeling, simplified equations of rope motion are derived against the horizontal and vertical direction. Each equation is expressed as 1-DOF model and the both vibration modes are coupled with each other. In this paper, the simplified 1-DOF model is compared with the difference equation, especially for the nonlinear resonance behavior. As the resonance behavior of the rope sway is influenced by several physical parameters, effects of the rope length, rope linear density and car weight are evaluated.