№66-13

Influence of deformation non-linearity of cables on rope stressed-strain state

D. Kolosov1, V. Samusia1, H. Tantsura2, O. Bilous2, O. Vorobiova1

1 Dnipro University of Technology, Dnipro, Ukraine

2 Dniprovsk State Technical University, Kamianske, Ukraine

Coll.res.pap.nat.min.univ. 2021, 66:132-139

https://doi.org/10.33271/crpnmu/66.132

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ABSTRACT

Purpose. Establishment of influence of non-linear deformation of cables on a stress-strain state of a hoisting rubber-cable rope with cable breakage.

Methodology. Construction and solution of a model of interaction of cables in a rubber-cable rope for a case of interaction of layers rigid to tension with layers that are only under shear stress using the methods of mechanics of composite materials.

Results. The character of dependency of a stress-strain state of a standard sample on a non-linear deformation of cables in a rubber-cable rope with cable breakage is established. It is proven that the non-linearity of deformation has a greater influence on redistribution of forces for a rupture of the extreme cable – the maximum forces are reduced by 15%, while in a case of rupture of the middle cable the changes do not exceed 2%. This is due to the lower maximum loading forces on cables adjacent to the broken one, and the smaller size of areas where forces exceed the level of linear deformation of cables. The use of classical methods of mechanics of composite materials in the construction of a mathematical model of interaction of cables in the rope, and the analytical solution of a model allows considering the results sufficiently reliable.

Scientific novelty. The character of influence of non-linear deformation of cables on a stress-strain state of a hoisting rope with cable breakage is established.

Practical significance. Considering the non-linear law of deformation of cables allows specifying the values of loads acting on a tractive element of a hoisting installation and increasing the durability of rope, and reducing the risk of failure of hoisting installations. A possibility to obtain more accurate values of tractive ability loss by the rope increases the level of operational safety of rubber-cable ropes.

Keywords: stress-strain state, composite tractive element, non-linear cable deformation, rope with cable breakage, tractive ability, rope operation safety.

References

  1. Perekutnev, V. E., & Zotov, V. V. (2020). Comparative assessment of rubber steel cables for vertical mine hoists. Mining Informational and Analytical Bulletin, 7, 85–93.
    https://doi.org/10.25018/0236-1493-2020-7-0-85-93
  2. Belmas, I.,Kolosov, D., Chechel, T., Vorobiova, O., & Chernysh, O. (2020). Influence of change during the mechanical properties of rubber on the stressed state of a rubber traction body with a damaged cable. Collection of Research Papers of the National Mining University, 62, 149–155
    https://doi.org/10.33271/crpnmu/62.149
  3. Belmas, I., Kogut, P., Kolosov, D., Samusia, V., & Onyshchenko, S. (2019). Rigidity of elastic shell of rubber-cable belt during displacement of cables relatively to drum. International Conference Essays of Mining Science and Practice, 109, 00005.
    https://doi.org/10.1051/e3sconf/201910900005

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