Abstract: Aiming at the impact and vibration problems faced by the tower-type friction hoist in the direction of high speed, heavy load and long range, the dynamic model of tower-type friction hoist was established, and the longitudinal vibration of the hoist system was simulated and tested. Firstly, based on the Hamilton's principle, a mathematical model of the longitudinal vibration of the friction hoist system considering the tail rope was established, and the partial differential equations were discretized by the Galerkin weighted residual method. Then, the longitudinal vibration response of the system during the operation was simulated and analyzed by taking the parameters and motion curve of the tower-type friction hoist in a mine as the input of the mathematical model. The correctness of the theoretical model was verified by combining with the experimental data. Finally, the influence of different lifting loads, heights and friction wheel fluctuation amplitudes on the longitudinal vibration of the system was studied. The results indicate that the longitudinal vibration of the tower-type friction hoist system can be intensified obviously during acceleration, deceleration and braking. The hoisting rope and the tail rope have similar vibration characteristics. In addition, the increase of the lifting load, the height and the fluctuation amplitude of the friction wheel can aggravate the longitudinal vibration of the system. The research results can provide support for the further analysis of longitudinal vibration characteristics of the tower-type friction hoist.

Key words:  mine hoist; wire rope; Hamilton's principle; longitudinal vibration