Vertical vibration of elevator compensating sheave due to brake activation of traction machine

Abstract

This paper shows an elevator dynamic model that calculates the compensating sheave motion during a brake activation of the traction machine. A simplified mathematical formulation is derived to evaluate the vertical static displacement of the compensating sheave. The vertical vibration induced by the brake of the traction machine is also evaluated and 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. The derived equations contribute to the elevator's optimal design.