抄録
Most elevators applied to tall buildings include compensating ropes to satisfy the balanced rope tension between the car and the counter weight. The compensating ropes receive tension by the compensating sheave, which is installed at the bottom space of the elevator shaft. It is important to evaluate the vertical displacement of the compensating sheave, because the displacement is one of the key factor to determine the pit depth of the elevator shaft. This paper shows an elevator dynamic model that calculates the compensating sheave motion during a brake activation of the traction machine. Firstly, an elevator system model is proposed to evaluate the vertical motion of each component. The derived simulation model indicates that the vertical static displacement of the compensating sheave depends on the car position and the car loading condition. Secondary, the vertical vibration induced by the brake of the traction machine is evaluated numerically. It is concluded that the maximum vibration occurs when the vertical vibration by the car stop timing synchronizes the phase of the vibration by the brake activation. The maximum vibration is also evaluated by a mathematical formulation and it shows that the vertical vibration is proportional to the building height.
