中央に変位拘束部材を有する弦の自由振動（弦と変位拘束部材とのギャップが0の場合）

抄録

When an elevator rope for a high-rise building is forcibly excited by the displacements of the building induced by wind forces and/or by long-period ground motion, rope displacement becomes large even if the ground acceleration and the buildings acceleration is small. In previous paper, when elevator cage is stationary, a new practical method for reducing the rope vibration by using vibration suppressors is proposed for relaxing the restricted elevator operation. The advantage of using the vibration suppressors for reducing the rope lateral vibration is demonstrated through numerical calculation. Further, when center of the rope or 1/N position of the rope is pulled, exact solution to the free vibration of the rope with vibration suppressors has been presented. However, when arbitrary position of the rope is pulled, exact solution to the free vibration of the rope with vibration suppressors has not yet been obtained. In this paper, an exact solution to the free vibration of the rope with one vibration suppressor which located at the center of the rope is presented, when arbitrary position of the rope is pulled. The rope is modeled with string. Finite difference analyses of the rope vibration with vibration suppressor are also performed. The calculated results of the finite difference analyses correlated fairly well to the calculated results of the exact solution.