Analysis of rope transverse dynamics for multi-rope friction hoisting system
WU Juan1,2，KOU Ziming1,2，LIANG Min1,2
1.Taiyuan University of Technology, College of Mechanical Engineering, Taiyuan 030024，China；
2.Shanxi Province Mineral Fluid Controlling Engineering Laboratory, Taiyuan 030024，China
Abstract：Using the mass of time-varying length balance rope focused on the hoisting conveyance, the transverse model of mine friction hoist was established by the Hamilton’s principle. The modified Galerkin’s method was used to discretize partial differential equations. The mine hoisting system was used to the example to analysis the regular of the transverse vibration of wire rope at different operation stages, and the influence of stiffness and damping on the transverse vibration. The results showed that under the incentive function of the external disturbance, the hoisting cable transverse vibration displacement is more intense in the ascending stage; The vibration of the rope can be suppressed by changing the spring stiffness and damping．
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