Purpose. Establishing a dependency of change in a stress-strain state for a rubber-cable tractive element with broken structure due to rheology of a rubber shell. Methods. Analytical solution of a model of a rubber-cable tractive element with a broken structure due to rheology of a rubber shell. Results. An algorithm for determining a stress-strain state of a rubber-cable tractive element with a broken structure due to rheology of a rubber shell is developed. The suggested algorithm involves splitting the rope into two parts, which allows considering the influence of a dependency of shear modulus on deformations in a form of a broken line constructed of two segments. Splitting the rope in the area of integrity breakage into three or more parts allows considering a more complex dependency of shear modulus on shear deformations. A mechanism of changing a stress-strain state of a rubber-cable rope due to rheology of a rubber shell is established. The local influence of changes in properties of elastic material interacting with a damaged cable on a stress-strain state of a rubber-cable tractive element with a broken structure is analyzed. Scientific novelty. A mechanism of influence of a shear modulus of rubber shell material in the rubber-cable rope (belt) with a cable integrity breakage on stress-strain state of composite tractive element is established to be time-varying and nonlinearly dependent on deformations. Practical significance. Consideration of shell rubber rheology makes it possible to predict a rope stress state considering a non-linear law of changes in properties of rubber during its use and to increase safety and operational reliability of rubber-cable tractive elements. A local change in mechanical parameters does not increase the danger of using a rope with continuity breakages of cables. An increase in lengths of redistribution of forces and displacements requires an increase in length of steps in butt-joint connections.
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