Influence of deformation non-linearity of cables on rope stressed-strain state
DOI:
https://doi.org/10.33271/crpnmu/66.132Keywords:
stress-strain state, composite tractive element, non-linear cable deformation, rope with cable breakage, tractive ability, rope operation safetyAbstract
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.References
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