№84-19
Stress-strain state of restored rubber-cabletractive element with variable mechanical properties of rubber and cable breakage
D. Kolosov1, https://orcid.org/0000-0003-0585-5908
P. Chernysh1 https://orcid.org/0009-0003-0621-7091
1Dnipro University of Technology, Dnipro, Ukraine
Coll.res.pap.nat.min.univ. 2026, 84:241–254
Full text (PDF)
https://doi.org/10.33271/crpnmu/84.241
ABSTRACT
Purpose. Determining a stress-strain state of a restored rubber-cable tractive element (rope, belt) under a discrete change in the shear modulus of material (rubber) that connects the reinforcing elements (cables).
Research methodology.The study is based on an analytical solution of a model of a rubber-cable tractive element, taking into account a continuity breakage of the cable and changes in the mechanical properties of the rubber shell.
Findings. A mathematical model of a rubber-cable tractive element with a disturbed structure has been developed and solved analytically, taking into account a discrete variation along its length of the rubber shear rigidity and a continuity breakage of the reinforcing element. It has been established that the patterns of distribution of forces, displacements, and shear angles of the rubber, in the case of assuming a linear law of rubber deformation and in the case of assuming a different value of the shear modulus over a small section of the rope, qualitatively coincide. Quantitatively, the maximum shear angles differ. In the considered case, assuming that the mechanical properties of the rubber remain unchanged over a segment of given length that includes only the cross-section around the broken cable, the tangents of the shear angles, determined with a fourfold local reduction in the rubber shear modulus, increase by up to 15% compared to those obtained under the assumption of linear rubber deformation.
Scientific novelty. The influence of a discrete change in the rubber shear modulus on a stress-strain state of a rubber-cable tractive element with a continuity breakage of the reinforcing element has been established. The mechanism of changes in the stress state of a rubber-cable rope due to a nonlinear law of deformation of the inter-cable elastic layers has been refined.
Practical significance. An algorithm has been formulated for determining the stress state of a rubber-cable tractive element with a disturbed structure, taking into account a known law of variation of the mechanical properties of rubber during operation. Considering the nonlinearity of deformation of the rubber shell makes it possible to predict the stress state of a rubber-cable tractive element with a broken reinforcing element in order to improve safety and reliability of its operation.
Keywords: lifting and transporting machine, rubber-cable tractive element, restored rope, rubber shell, mechanical properties, operational changes, continuity breakage, layered composite structure, mathematical model, analytical solution, stress-strain state.
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date of first submission of the article to the publication – 01/13/2026
date of acceptance of the article for publication after review – 02/26/2026
date of publication – 03/31/2026