№73-8

Investigation of a stress-strain state of a rubber-cable rope with cables of different tensile rigidity

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

¹ Dniprovsk State Technical University, Kamianske, Ukraine

² Dnipro University of Technology, Dnipro, Ukraine

Coll.res.pap.nat.min.univ. 2023, 73:94-103

https://doi.org/10.33271/crpnmu/73.094

Full text (PDF)

ABSTRACT

Purpose. Establishment of dependences for stress-strain state parameters in a rubber-cable rope with cables of different tensile rigidity and cable breakage.

Research methodology. Construction and development of an algorithm for solving a model of a stress-strain state of a rubber-cable rope with ropes of different tensile rigidity and breakage of one cable by using the methods of mechanics of layered composite materials with soft and hard layers.

Findings. Analytical expressions are constructed, which allow determining the main stress-strain state indicators in a rope with an odd number of cables, while the middle cable is damaged, and tensile rigidity of the middle cable is half the tensile rigidity of the other cables.

Analytical dependencies are established for determining the extreme angles of rubber shear between the cables, what allows determining the most dangerous tension states of a rope with a damaged cable, which has a different rigidity from the other cables.

The level of reliability of the developed algorithm for solving the model of a stress-strain state of a rubber-cable rope with cables of different rigidity is confirmed by determining the maximum tensile forces of a rope made of three cables, in which the middle cable has a tensile rigidity half that of the other two. The force distribution coefficients between cables adjacent to the damaged one are equal to 1.25 per unit load on each cable, which corresponds to the only possible case of force distribution between parallel elements under the presented conditions.

Scientific novelty. The character of influence of different rigidity and damage of the reinforcing cables on the main parameters of stress-strain state in a rubber-cable rope are established.

Practical significance. An algorithm for determining the stress-strain state indicators of a rubber-cable rope, which has an odd number of reinforcing cables, its middle cable is damaged, and the tensile rigidity of the middle cable is different (lower) than the rigidity of the other cables, is developed. This makes it possible to increase the operational safety of rubber-cable ropes in hoisting and transporting machines, in particular when operating at significant lifting heights, and also contributes to justifying the use of a rope design as a stay rope in capital structures.

Keywords: flat rubber-cable rope, stress-strain state, mathematical model, cables of different rigidity, cable tension, cable damage, force distribution coefficient, rubber shear angle.

References

1. Belmas, I.V., Kolosov, D.L., Tantsura, A.I., & Konokh, Yu.V. (2009). Issledovanie vliyaniya poriva trosovoi osnovi na prochnost kanata stupenchatoi konstruktsii. Neobratimie protsessi v prirode i tekhnike: Materiali nauch. konf. Moskva: MGTU im. N.E. Baumana, Ch. II, 255–257.

2. Belmas, I.V., Bilous, O.I., Nelha A.T., & Belmas, O.L. (2008). Kontrol trosiv humotrosovoho kanatu. Materialy chetvertoi mizhnarodnoi naukovo-praktychnoi konferentsii «Naukovi doslidzhennia – teoriia ta eksperyment – 2008», tom 8. Poltava, 19-21 travnia 2008r, 8–12.

3. Belmas, I.V., Saburova, I.T., & Zadorozhna, I.M. (2008). Uperedzhennia ruinuvannia tiahovoho orhanu krutopokhyloho pidiimacha. Sbornik nauchnikh trudov Kerchenskogo morskogo tekhnologicheskogo instituta. Mekhanizatsiya proizvodstvennikh protsessov ribnogo khozyaistva, promishlennikh i agrarnikh predpriyatii, 9, 132–136.

4. Blokhin, S.E., Kolosov, D.L., & Kolosov, A.L. (2009). Napryazhenno-deformirovannoe sostoyanie ploskogo rezinotrosovogo tyagovogo organa na barabane. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu im. akad. V. Lazariana, 30, 88–91.

5. Bilous, O.I., & Kolosov, D.L. (2010). Napruzhenyi stan humovoi obolonky kanatu na barabani konveiera podachi shykhty v domennu pich. Metallurgicheskaya i gornorudnaya promishlennost, 4(262), 113-114.

6. Kolosov, D.L., Bilous, O.I., & Tantsura, H.I. (2010). Model ta vyznachennia NDS humotrosovoho kanatu, stysnutoho zhorstkymy ploskymy plytamy. Sbornik nauchnikh trudov kerchenskogo gosudarstvennogo morskogo tekhnologicheskogo universiteta i dneprodzerzhinskogo gosudarstvennogo tekhnicheskogo universiteta, 13, 64-68.

7. Kolosov, L.V. (1987). Nauchnie osnovi razrabotki i primeneniya rezinotrosovikh kanatov podemnikh ustanovok glubokikh rudnikov. (Dis. dokt. nauk: 05.05.06, 01.02.06.)