Dynamic Behavior of Traction System with Tension at the Pulley of Compensating Rope

With high capacity and low cost, the traction system is used in various lifting applications. Caused by the effect of hoisting and compensation rope with time-varying length, the longitudinal vibration of the system is varying moderately during the period of operation. In this paper, the dynamic model of the traction system with compensating rope is established based on Lagrange equations of the first kind. The compensating rope is tensioned by a pulley with external force working on it. The dynamics resonance characteristics under different working conditions of bidirectional conveyances and tensioning pulley can be obtained, which can provide reference for the design of long- travel and high-speed hoisting systems.