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
  • 67 Downloads

Abstract

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.

Keywords

Bent hoisting rope Coal mine Contact Slip 

List of symbols

A

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

a

The acceleration and deceleration during hoisting

E

The elastic modulus of steel wire rope

g

The acceleration of gravity

L1

Distances between the sheave tangent and container on the lifting sides

L2

Distances between the sheave tangent and container on the lowering sides

m1

Terminal mass on the lifting sides

m2

Terminal mass on the lowering sides

S1

Tensions of the rope at sheave tangents on lifting sides

S2

Tensions of the rope at sheave tangents on lowering sides

v

Hoisting speed

α

Wrap angle

μ

Coefficient of friction between the rope and friction lining

γ

Slip angle

λ

Inactive slip angle

φ

The central angle of the friction pulley

ρ

The rope mass per meter

Notes

Acknowledgements

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).

References

  1. 1.
    Wang DG, Zhang DK, Ge SR (2014) Effect of terminal mass on fretting and fatigue parameters of a hoisting rope during a lifting cycle in coal mine. Eng Fail Anal 36:407–422CrossRefGoogle Scholar
  2. 2.
    Wang DG, Zhang DK, Zhang ZF, Ge SR (2012) Effect of various kinematic parameters of mine hoist on fretting parameters of hoisting rope and a new fretting fatigue test apparatus of steel wires. Eng Fail Anal 22:92–112CrossRefGoogle Scholar
  3. 3.
    Wang DG, Wang DA (2016) Dynamic contact characteristics between hoisting rope and friction lining in the deep coal mine. Eng Fail Anal 64:44–57CrossRefGoogle Scholar
  4. 4.
    Wang DG, Zhang DK, Mao XB, Peng YX, Ge SR (2015) Dynamic friction transmission and creep characteristics between hoisting rope and friction lining. Eng Fail Anal 57:499–510CrossRefGoogle Scholar
  5. 5.
    Wu J, Kou ZM, Liu YH, Wu GX (2015) Numerical simulation of stress–strain of bended wire rope. J China Coal Soc 40:1463–1468Google Scholar
  6. 6.
    Sasaki K, Iwakura S, Takahashi T, Moriya T, Furukawa I (2007) Estimating the fatigue life of wire rope with a stochastic approach. J Solid Mech Mater Eng 1:1052–1062CrossRefGoogle Scholar
  7. 7.
    Nabijou S, Hobbs RE (1995) Relative movements within wire ropes bent over sheaves. J Strain Anal Eng Des 30:155–165CrossRefGoogle Scholar
  8. 8.
    Argatov II, Gómez X, Tato W, Urchegui MA (2011) Wear evolution in a stranded rope under cyclic bending: implications to fatigue life estimation. Wear 271:2857–2867CrossRefGoogle Scholar
  9. 9.
    Jia XF, Zhang DK (2011) Bending fatigue damage behavior of bearing wire rope on different pre-tension. J Mech Eng 47:31–37CrossRefGoogle Scholar
  10. 10.
    Yu YJ, Wang XX, Chen ZH (2016) A simplified finite element model for structural cable bending mechanism. Int J Mech Sci 113:196–210CrossRefGoogle Scholar
  11. 11.
    Chen YP, Chen ZW, Peng M, Gong XS (2015) Comparative study of bending performances of spiral triangular strand and simple straight strand based on finite element method. J China Univ Min Technol 44:1110–1117Google Scholar
  12. 12.
    Erdönmez C, İmrak CE (2011) Numerical model for an IWRC bending over sheave problem and its finite element solution. In: 2011 international conference on applied, numerical and computational mathematics, and 2011 international conference on computers, digital communications and computing, world scientific and engineering academy and society, pp 199–205Google Scholar
  13. 13.
    Erdönmez C, İmrak CE (2009) Modeling and numerical analysis of the wire strand. J Naval Sci Eng 5:30–38Google Scholar
  14. 14.
    Knapp RH (1988) Helical wire stresses in bent cables. J Offshore Mech Arct Eng 110:55–61MathSciNetCrossRefGoogle Scholar
  15. 15.
    Foti F, Luca M (2016) Mechanical modeling of metallic strands subjected to tension, torsion and bending. Int J Solids Struct 91:1–17CrossRefGoogle Scholar
  16. 16.
    Ridge IML, Zheng J, Chaplin CR (2000) Measurement of cyclic bending strains in steel wire rope. J Strain Anal Eng Des 35:545–558CrossRefGoogle Scholar
  17. 17.
    Ridge IML, Chaplin CR, Zheng J (2001) Effect of degradation and impaired quality on wire rope bending over sheave fatigue endurance. Eng Fail Anal 8:173–187CrossRefGoogle Scholar
  18. 18.
    Feyrer K (2007) Wire ropes. Springer, BerlinCrossRefGoogle Scholar

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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