Abstract

Mine hoist is an important piece of equipment in mine hoist systems, and we achieve deep mine hoist through the multilayer winding, but the cable always undergoes severe shock and vibration during the winding process, and the dynamic load and wear would greatly reduce the lifetime of the cable and cause potential safety hazard. In this paper, we start from the course of crossing over of winding cable, use the methods of differential geometry, mechanics, and mathematical analysis, study the movements of the crossover, and derive the important formula that can reduce the vibration of cable during the course of crossover: the formula about central angle of the crossover arc. The results display that four factors contribute to central angle of the crossover arc, that is, the gap of the rope grooves, friction coefficient of the cable, and diameter of the drum and the cable. The result can provide valuable information for designing multilayer winding mine hoist.

Highlights

  • Along with the exploitation of the deep earth resources, the deep mine hoisting is more and more important

  • The structure of the riser and filler rings is connected with central angle of the crossover arc as shown in Figure 1, and the stability of the cable is of great importance when it is moving through the crossover zone; the stability can affect the lifetime, vibration, and orderly arrangement of the rope

  • The larger the friction coefficient is, the smaller the central angle corresponding to the crossover is; the larger the gap of the groove is, the larger the central angle corresponding to the crossover is

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Summary

Introduction

Along with the exploitation of the deep earth resources, the deep mine hoisting is more and more important. After a long period of research, the major factors that affect multilayer winding are these: the type and arrangement form of the groove, the way and the parameters that the riser and filler rings afford, the way the cable moves through the crossover zone, central angle of the crossover arc, the velocity and the accelerated velocity of the hoisting, the numerical value of the cable’s fleet angle, the structure of the cable, operation and maintenance of the cable, and so forth These factors play an important role in lifetime, vibration, and arrangement of the cable [2]. We will utilize the theory of the fiber stable coiling onto the solid of revolution along the nongeodesic and use the thinking and methods of Gong et al [13] and improve their mathematic model and computing method and derive the more reasonable computational equation of the length of crossover

The Derivation of Theoretical Equation
Results and Discussion
Conclusions
Full Text
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