Stress-strain state of restored rubber-cabletractive element with variable mechanical properties of rubber and cable breakage
DOI:
https://doi.org/10.33271/crpnmu/84.241Keywords:
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.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.References
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