№70-09

Stress-strain state of composite rope considering influence of its nonlinear deformation and reinforcement element breakage

I. Belmas¹, D. Kolosov², S. Onyshchenko²,O. Bilous¹, H. Tantsura¹, P. Chernysh²

¹ Dniprovsk State Technical University, Kamianske, Ukraine

² Dnipro University of Technology, Dnipro, Ukraine

Coll.res.pap.nat.min.univ. 2022, 70:99-106

https://doi.org/10.33271/crpnmu/70.099

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ABSTRACT

Purpose. Establishing the influence character of deformation nonlinearity in a rubber-cable rope with a breakage of continuity of its arbitrary cable. Justification of a method of determining a stress-strain state of a rope.

Research methodology. Construction of a mathematical model of a stress-strain state of a rubber-cable rope considering nonlinearity of its deformation in a presence of a breakage of an arbitrary cable and analytical solution using the methods of mechanics of layered composite materials with soft and hard layers.

Findings. An algorithm for determining a stress-strain state of a rubber-cable rope of an arbitrary construction is developed, considering nonlinearity of its deformation and a presence of a breakage of an arbitrarily located cable. A stress-strain state model of a rubber-cable rope is solved analytically in a closed form, which allows considering the obtained algorithm sufficiently reliable.

Scientific novelty. Establishing an influence character of deformation nonlinearity in a rubber-cable rope with a cable breakage on its stress-strain state. Justification of a method for determining a stress state of a rubber-cable rope, considering mechanical characteristics and rope construction, a nonlinearity of its deformation, and a possible breakage of an arbitrary cable.

Practical significance. The developed algorithm allows calculating displacements of cables and distributions of forces among them in a rubber-cable rope of a given construction with a broken arbitrary cable under the given conditions of connecting rope ends. The results make it possible to consider the influence of nonlinear rope deformation with a cable breakage on a stress-strain state of a rope and allow a possibility of justified determination for safe operation of rubber-cable ropes in hoisting machines and as carrying elements of cable-stayed capital structures.

Keywords: flat rubber-cable rope, composite construction, cable-stayed structure, stress-strain state, deformation nonlinearity, cable breakage, mathematical model, boundary conditions, determination algorithm, operational safety.

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