矿井提升机多层缠绕卷筒的振动特性

为揭示多层缠绕卷筒的振动特性及矿井提升系统相关参数对其动力学响应的影响，以矿井提升机实验台的双折线卷筒为研究对象，利用变质量完整力学系统Lagrange方程建立圈间过渡激励下质量慢变卷筒的含耦合项振动方程.对所建模型进行了数值分析和实验验证.结果表明:推导出的方程较好地反映了卷筒的振动特性;卷筒两个方向的加速度幅值略有差异，卷筒两方向的振动加速度幅值都存在波动，且具有同步性;讨论了卷筒转速、卷筒非对称角、卷筒折线区圆心角、钢丝绳直径、密度等系统参数对卷筒振动加速度幅值的影响规律.研究成果有利于优化卷筒结构，对系统安全运行具有一定参考价值.

Vibration Characteristics of Multi-layer Winding Drum of Mine Hoists

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.