Abstract
Taking the flexible hoisting system as the research object, the transverse vibration mathematical model of the steel wire rope of the winding hoisting system is established, and the transverse vibration displacement, velocity and acceleration of the steel wire rope at 18 m away from one end of the wire rope under the sine excitation at other end is obtained through the comparison and verification of the results from the mathematical model, mechanical model and experiment. The results show that: for the length of the wire rope of 20 m, under the sine excitation at the end of amplitude of 0.002 m and frequency of 20 Hz, the transverse vibration displacement at 2 m from one end of the wire rope with length of 20 m is basically between –0.005 m and 0.005 m, the transverse vibration velocity at 2 m from one end of the wire rope is basically between –0.04 m/s and 0.04 m/s, and the transverse vibration acceleration of the wire rope is basically between –0.5 m/s2 and 0.5 m/s2. And the transverse vibration displacement decreases near the end, meanwhile the transverse vibration frequency increases with the reduction of length of vertical section of wire rope.
Highlights
During the running process of mine hoisting system, the steel wire rope has property of elasticity, so there are longitudinal vibration and transverse vibration of the steel wire rope
The transverse vibration of the steel wire rope can be obtained by studying its vibration under a certain excitation, and the transverse vibration of the steel wire rope can be reduced by adjusting the parameters, so as to prevent the problem of rope skipping and improve the operation stability of the hoisting system
In the process of establishing the mechanical model of the transverse vibration of the steel wire rope of the flexible hoisting system, it is necessary to establish the mechanical model of the steel wire rope
Summary
During the running process of mine hoisting system, the steel wire rope has property of elasticity, so there are longitudinal vibration and transverse vibration of the steel wire rope. The study of its vibration can obtain the stress of the steel wire rope in the running process, and adjust the parameters to reduce its dynamic tension, preventing the wire rope from breaking up, and so improving the safety factor of the hoisting system. The flexible hoisting system was took as the research object, the transverse vibration mathematical model of the steel wire rope of the flexible hoisting system was established, and through the comparison and verification of the solution results of the mechanical model, obtaining the transverse vibration displacement of the steel wire rope at two positions under the sine excitation at one end. The above research mainly adopts the variational method to obtain the transverse vibration equation of steel wire rope in flexible hoisting system. The research and analysis of this paper has some reference basis for the modeling and analysis of the super deep flexible hoisting system, and has some reference and application value for the design of the super deep flexible hoisting system
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