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Analysis of the stress-strain state of steel closed ropes under tension and torsion

Abstract

The analysis of the stress-strain state of the closed rope elements under axial tension and torsion was carried out by the finite element method using the licensed software package SIMULIA/Abaqus. The closed rope consists of an outer layer of Z-profile wires, a subsurface layer of alternating round and H-profile wires, an intermediate layer, and a core of the structure 1 + 7 + 7/7 + 14 of round wires. Modeling made it possible to determine the values of the axial force P, the torque M, the relative elongation ε, and the relative angle of torsion θ of the rope sample at the given values of the axial displacement and the rotation angle the cross-section. The results of the analytical calculation of the stress-strain state of a spiral rope using traditional approaches were compared with those obtained in the course of computer finite element modeling. The results of modeling the rope deformation under tension were verified by experimental data obtained by stretching the rope sample on a universal horizontal hydraulic test machine LabTest 6.2000N.7. The results of computer modeling of the rope pure tension correlate well with the results of the calculation by the method of M.F. Glushko, which more accurately takes into account the real construction of the ropes. Computer simulation of the stress-strain state of the closed rope elements made it possible to determine the contact stresses between shaped wires in layers and between layers at different values of the gap between shaped wires; therefore, it can be used to optimize the gaps. Computer simulation of the stress-strain state of the rope elements of a closed structure makes it possible to assess the consistency of the layers narrowing during axial tension by analyzing the contact stresses between adjacent wires in the cross-section of the rope.

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Data availability

The data used to support the findings of this study are included within the article.

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Funding

The reported study was funded by Ministry of Education and Science of the Russian Federation according to the project № 0637-2020-0006.

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Contributions

Leonid Gurevich contributed to the conception of the study; Vladimir Danenko performed the experiment and contributed significantly to analysis and manuscript preparation; Artem Bogdanov performed the data analyses and wrote the manuscript; Vitaliy Kulevich helped perform the analysis with constructive discussions.

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Correspondence to Artem Bogdanov.

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Gurevich, L., Danenko, V., Bogdanov, A. et al. Analysis of the stress-strain state of steel closed ropes under tension and torsion. Int J Adv Manuf Technol 118, 15–22 (2022). https://doi.org/10.1007/s00170-021-07128-w

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  • DOI: https://doi.org/10.1007/s00170-021-07128-w

Keywords

  • Closed rope
  • Finite element modeling
  • Stress-strain state
  • Wire
  • Stretching
  • Torsion
  • Deformation
  • Equivalent stress