Dynamic contact and slip characteristics of bent hoisting rope in coal mine

  • Jun Zhang
  • Dagang Wang
  • Dekun Zhang
  • Shirong Ge
  • José Alexander Araújo
Technical Paper


Dynamic contact and slip characteristics of bent hoisting rope in coal mine were investigated in this study. Dynamic tensions of hoisting rope bending around friction lining at distinct arc locations were obtained employing hoisting dynamics and friction transmission theories. The finite element model of contacting bent rope and friction lining was established to explore dynamic contact characteristics and relative slip amplitudes between the rope and friction lining, and between contacting strands in the rope, respectively. The results show that dynamic tensions of bent rope at distinct arc locations are related to slip and inactive slip states of rope segments. Higher stress concentrations are present at contacting locations between adjacent strands and between the rope and friction lining at every central angle at any lifting time. An increase of central angle φ causes overall increased equivalent von Mises stress distributions on the rope cross-section and near contacting locations within the slip angle between the rope and friction lining as compared to constant equivalent stress distributions within the inactive slip angle. Relative slips are induced by differences between tensions of bent rope segment at both sides within the slip angle as compared to no relative slip within the inactive slip angle, which is the same in cases of contacting rope and friction lining, and neighboring strands.


Bent hoisting rope Coal mine Contact Slip 

List of symbols


The sum of cross-sections of all wires in the rope


The acceleration and deceleration during hoisting


The elastic modulus of steel wire rope


The acceleration of gravity


Distances between the sheave tangent and container on the lifting sides


Distances between the sheave tangent and container on the lowering sides


Terminal mass on the lifting sides


Terminal mass on the lowering sides


Tensions of the rope at sheave tangents on lifting sides


Tensions of the rope at sheave tangents on lowering sides


Hoisting speed


Wrap angle


Coefficient of friction between the rope and friction lining


Slip angle


Inactive slip angle


The central angle of the friction pulley


The rope mass per meter



The research reported here was supported by the National Key Research and Development Program (2016YFC0600907), Discipline Frontier Research Project (2015XKQY11), Top-notch Academic Program Project of Jiangsu Higher Education Institutions (TAPP) and the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  • Jun Zhang
    • 1
  • Dagang Wang
    • 1
    • 2
  • Dekun Zhang
    • 3
  • Shirong Ge
    • 1
  • José Alexander Araújo
    • 4
  1. 1.School of Mechatronic EngineeringChina University of Mining and TechnologyXuzhouChina
  2. 2.Jiangsu Key Laboratory of Mine Mechanical and Electrical EquipmentChina University of Mining & TechnologyXuzhouChina
  3. 3.School of Materials Science and EngineeringChina University of Mining and TechnologyXuzhouChina
  4. 4.Faculty of TechnologyUniversity of BrasiliaBrasiliaBrazil

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