Abstract: In order to reveal the vibration characteristics of the multi-layer winding drum and the influence of relevant parameters of the mine hoisting system on its dynamic response， a double folding line drum of the mine hoist experimental platform was taken as the research object， the vibration equations with coupling terms of the drum with slowly varying mass under rope transiting excitation were established by using Lagrange equation of variable mass holonomic mechanical system. The numerical analysis and experimental verification of the model were carried out. The results showed that the deduced equation reflects the vibration characteristics of the drum well. The acceleration amplitude of the two directions of the drum is slightly different. The amplitude of vibration acceleration in both directions of the drum fluctuates and is characterized by synchronization. The effects of such system parameters as drum speed， drum asymmetric angle， center angle of the crossover arc， wire rope diameter and density on drum vibration acceleration were discussed. The research results are helpful to optimize the drum structure， and have some reference value for the safe operation of the system.

Key words: multi-layer winding; rope transiting; slowly changing mass; acceleration response; system parameter