Influence of Cable Design on Stress State of Elastic Shell in Elastomer-Cable Rope

Abstract:

Elastomer-cable ropes (ECR) can be used as tractive and transporting elements in mine hoisting installations, powerful conveyors, or as stay ropes in permanent structures. The operating conditions and design of such ropes may differ in various conditions; however, the composite structure of ropes has its unique advantages in industrial applications. Article purpose is determining the influence of cable design on a stress state of elastic shell in a elastomer-cable rope. Article methodology is in numerical calculation using CAD and an analytical method used in strength of materials. Dependency of a stress-strain state is established for a elastomer-cable rope (belt) shell, which is loaded by a force evenly distributed among the cables, considering helical strand shape and periodical placement of cables with opposite twisting directions in a rope (belt). Energy loss values due to cable and elastomer-cable rope design are established. The scientific novelty of the article is in establishing that a helical strand shape of cables causes a twisting moment (torque) that is proportional to a part of an internal loading force on cables, which is transmitted by strands, a sine of inclination angle of helical strands and a distance between centers of strands cross-sections and cable axis. Stresses in the elastic shell decrease when cable placement spacing increases and does not exceed 1.7 cable diameters. Practical significance of the article is in establishing the dependency of a stress state of elastic shell in a elastomer-cable rope on rope and cable design, which allows taking into account this phenomenon during the rope design phase, increase of accuracy of determining its stress-strain state and reliability during operation in mine hoisting installations, powerful conveyors or permanent structures.

• Periodical: Key Engineering Materials (Volume 1025)
• Pages: 117-131
• DOI: https://doi.org/10.4028/p-nT4VZz
• Online since: October 2025
• Authors: Ivan Belmas, Dmytro Kolosov*, Olena Bilous, Hanna Tantsura, Serhii Onyshchenko
• Keywords: Cable Design, Elastic Shell Stress, Elastomer-Cable Rope, Helical Strand Shape, Internal Loading Forces, Stress State, Tractive-Transporting Element

References

[1] Haidai, O., Ruskykh, V., Ulanova, N., Prykhodko, V., Cabana, E. C., Dychkovskyi, R., Howaniec, N., & Smolinski, A. (2022). Mine field preparation and coal mining in Western Donbas: energy security of Ukraine – A case study. Energies, 15(13), 4653

DOI: 10.3390/en15134653

[2] Salieiev, I. (2024). Organization of processes for complex mining and processing of mineral raw materials from coal mines in the context of the concept of sustainable development. Mining of Mineral Deposits, 18(1), 54-66

DOI: 10.33271/mining18.01.054

[3] Bondarenko, V., Salieiev, I., Kovalevska, I., Chervatiuk, V., Malashkevych, D., Shyshov, M., & Chernyak, V. (2023). A new concept for complex mining of mineral raw material resources from DTEK coal mines based on sustainable development and ESG strategy. Mining of Mineral Deposits, 17(1), 1-16

DOI: 10.33271/mining17.01.001

[4] Pivnyak, G., Bondarenko, V., Kovalevs'ka, I., & Illiashov, M. (2013). Mining of mineral deposits, 1-372 p. Book. CRC Press

DOI: 10.1201/b16354

[5] Kovalevska, I., Samusia, V., Kolosov, D., Snihur, V., & Pysmenkova, T. (2020). Stability of the overworked slightly metamorphosed massif around mine working. Mining of Mineral Deposits, 14(2), 43-52

DOI: 10.33271/mining14.02.043

[6] Simanovich, G., Serdiuk, V., Fomichov, I. A., & Bondarenko, V. (2007). Research of Rock Stresses and Deformations Around Mining Workings. Technical, Technological and Economical Aspects of Thin-Seams Coal Mining, International Mining Forum, 2007, 47-56

DOI: 10.1201/noe0415436700.ch6

[7] Shpachuk, V.P., Zasiadko, M.A., & Dudko, V.V. (2018). Investigation of stress-strain state of packet node connection in spatial vibration shakers. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu (3), 74-79

DOI: 10.29202/nvngu/2018-3/12

[8] Bazhenov, V.A., Gulyar, A.I., Piskunov, S.O., & Shkryl, A.A. (2008). Gas turbine blade service life assessment with account of fracture stage. Strength of Materials, 40(5), 518-524

DOI: 10.1007/s11223-008-9064-5

[9] Dovhal, D., & Matsiuk, I. (2023). Geometric modelling of face processing surfaces by planetary executive devices of tunnelling machines. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (5), 54-59

DOI: 10.33271/nvngu/2023-5/054

[10] Bazhenov, V.A., Gulyar, A.I., Piskunov, S.O., & Shkryl, A.A. (2006). Life assessment for a gas turbine blade under creep conditions based on continuum fracture mechanics. Strength of Materials, 38(4), 392-397

DOI: 10.1007/s11223-006-0055-0

[11] Shpachuk, V., Chuprynin, A., Suprun, T., & Kovalenko, A. (2021). Mechanical interaction of the rail transport car and joint irregularity. Scientific Journal of Silesian University of Technology Series Transport, (113), 173-189

DOI: 10.20858/sjsutst.2021.113.14

[12] Haddad, J.S., Denyshchenko, O., Kolosov, D., Bartashevskyi, S., Rastsvietaiev, V., & Cherniaiev, O. (2021). Reducing Wear of the Mine Ropeways Components Basing Upon the Studies of Their Contact Interaction. Archives of Mining Sciences, 66(4), 579-594

DOI: 10.24425/ams.2021.139598

[13] Kuzmenko, S., Kaluzhnyi, Ye., Moldabayev, S., Shustov, O., Adamchuk, A., & Toktarov, A. (2019). Optimization of position of the cyclical-and-continuous method complexes when cleaning-up the deep iron ore quarries. Mining of Mineral Deposits, 13(3), 104-112

DOI: 10.33271/mining13.03.104

[14] Shpachuk, V., Chuprynin, A., Daleka, V., & Suprun, T. (2020). Simulation of impact interaction of rail transport carriage in a Butt Roughness Zone. Scientific Journal of Silesian University of Technology Series Transport, (106), 141-152

DOI: 10.20858/sjsutst.2020.106.12

[15] Bondarenko, A.O., Malіarenko, P.О., Zapara, Ye., Bliskun, S.P. (2020). Testing of the complex for gravitational washing of sand. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (5), 26-32

DOI: 10.33271/nvngu/2020-5/026

[16] Moldabayev, S., Adamchuk, A., Sarybayev, N., & Shustov, A. (2019). Improvement of open cleaning-up schemes of border mineral reserves. 19th SGEM International Multidisciplinary Scientific GeoConference EXPO Proceedings, Science and Technologies in Geology, Exploration And Mining, 19, 331-338

DOI: 10.5593/sgem2019/1.3/S03.042

[17] Bondarenko, A.O., Haddad, J.S., Tytov, O.O., & Alfaqs, F. (2021). Complex for processing of rubble wastes of stone dressing. International Review of Mechanical Engineering, 15(1), 44-50

DOI: 10.15866/ireme.v15i1.20205

[18] Babets, Ye.K., Bielov, O.P., Shustov, O.O., Barna, T.V., Adamchuk, A.A. (2019). The development of technological solutions on mining and processing brown coal to improve its quality. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 6, pp.36-44

DOI: 10.29202/nvngu/2019-6/6

[19] Ropay, V.A. (2016). Mine Balancing Ropes: Monograph. Dnipropetrovsk. National Mining University. 263 p.

[20] Volokhovskiy, V.Yu., Radin, V.P., and Rudyak, M.B. (2010). Kontsentratsiya usiliy v trosakh i nesushchaya sposobnost' rezinotrosovykh konveyernykh lent s povrezhdeniyami. MEI Bulletin (5). 5-12.

[21] Belmas, I., Kolosov, D. (2011). The stress-strain state of the stepped rubber-rope cable in bobbin of winding. Technical and Geoinformational Systems in Mining. Taylor & Francis Group. London, UK. 211-214.

DOI: 10.1201/b11586-35

[22] Bondar, N.V. (2019). Dissertation for obtaining the scientific degree of Candidate of Technical Sciences in the specialty 05.07.02 – Design production and testing of aircraft. National Aviation University of the Ministry of Education and Science of Ukraine. Kyiv. 150 p

[23] Seung-Bum Kwak, Nak-Sam Choi (2009). Micro-damage formation of a rubber hose assembly for automotive hydraulic brakes under a durability test. Engineering Failure Analysis. Vol 16. 1262–1269

DOI: 10.1016/j.engfailanal.2008.08.009

[24] Cho, J.R., Yoon, Y.H., Seo, C.W., Kim, Y.G. (2015). Fatigue life assessment of fabric braided composite rubber hose in complicated large deformation cyclic motion. Finite Elements in Analysis and Design. Vol 100. 65–76

DOI: 10.1016/j.finel.2015.03.002

[25] Belmas, I., Kolosov, D., Kolosov, О., Onyshchenko, S. (2018) Stress-strain state of а conveyor belt with cables of different rigidity and their breakages. Fundamental and applied researches in practice of leading scientific schools. 26(2). 231-239.

[26] Belmas, I., Bilous, O., Tantsura, H., Sai, O., Gupalo, J. (2022). Impact of rope gust on the stress state of a rubber-rope cable. Computer science and computer engineering. (48). 42–52

DOI: 10.36910/6775-2524-0560-2022-48-07

[27] Belmas, I., Kolosov, D., Bilous, O., Tantsura, H., Onyshchenko, S. (2024). Stress state of elastic shell of standard sample in process of cable tear out testing. IOP Conference Series Earth and Environmental Science. 1348. 012085

DOI: 10.1088/1755-1315/1348/1/012085

[28] Belmas, I., Kolosov, D., Onyshchenko, S., Bilous, O., Tantsura, H. (2023). Influence of Nonlinear Shear Modulus Change of Elastomeric Shell of a Composite Tractive Element with a Damaged Structure on its Stress State. Inżynieria Mineralna, 1(1(51)). 147–154

DOI: 10.29227/IM-2023-01-18