Stress-strain state of a conveyor belt with cables of different rigidity and their breakages

  • I. Belmas Dniprovsk State Technical University
  • D. Kolosov National Mining University
  • O. Bilous Dniprovsk State Technical University
  • S. Onyshchenko National Mining University
Keywords: conveyor belt; reinforcing cables; cable rigidity; deformation; stress; cable breakage


A stress-strain state of a belt in which the rigidity of cables changes discretely is investigated. In a cross-section of rigidity change a rupture of its continuity is present. This situation simulates the stress state of a belt in which during the repair of a reinforcement system part of a broken cable is replaced by a part of another cable. The belt is considered to be a layered composite structure with rigid (cables) and soft (rubber) layers. A belt model is constructed and analytically solved. Analytical expressions for displacements of cables, internal tensile forces are obtained. A character of distribution of forces and displacements of cables corresponds to Saint-Venant principle. It is shown that the character of placement of a cable of different rigidity and the total number of cables in a belt affect maximum stresses. A placement of a cable of different rigidity significantly affects maximum values of a stress-strain state of a belt with cable breakage when there are no more than four cables between it and the rope edge. Rigidity reduction of a broken cable leads to a decrease in both maximum load forces of cables and displacement angles of rubber between them. Reduced cable rigidity along the entire length of a belt leads to the lowest values of maximum forces and angles of displacement. The change in cable rigidity affects the load of adjacent cables and stresses in adjacent rubber layers the most. In a case of symmetrical cable placement in a belt, the values of extreme internal loads of cables adjacent to it coincide. Obtained analytical expressions of conditions of strength of cables and rubber layers allow determining the admissibility of usage of cables of different rigidity for repair of a belt reinforcement system.


Belmas, I.V., Kolosov, D.L., & Kolosov, A.L. (2014). Study of stressed-deformed state of rubber-rope cable in the area of tubular transformation. Bulletin of PNRPU. Geology. Oil & Gas Engineering & Mining, #12, 48-55. [In Russian].
Бельмас, И.В., Колосов, Д.Л., & Колосов, О.Л. (2014). Исследование напряженно-деформированного состояния резинотросового каната на участке перехода к трубчатой форме. Вестник ПНИПУ. Геология. Нефтегазовое и горное дело, №12, 48-55.
Belmas, I.V., Saburova, I.T., & Zadorozhna, I.M. (2008). Prevention of breakage of a tractive element of an incline elevator. Collection of scientific papers of the Kerch state marine technological university. Mechanization of production processes in fisheries, industrial and agrarian enterprises, Issue 9, 132-136. [In Ukrainian].
Бельмас, І.В., Сабурова, І.Т., & Задорожна, І.М. (2008). Упередження руйнування тягового органу крутопохилого підіймача. Сборник научных трудов Керченского морского технологического института. Механизация производственных процессов рыбного хозяйства, промышленных и аграрных предприятий. Выпуск 9, 132-136.
Blohin, S.E., Kolosov, D.L., & Kolosov, A.L. (2009). Stress-strain state of a flat rubber-cable tractive element on a hoist drum. Bulletin of Dnipropetrovsk national university of railway transport named after academician V. Lazaryan, №30, 88-91. [In Russian].
Блохин, С.Е., Колосов, Д.Л., & Колосов, А.Л. (2009). Напряженно-деформированное состояние плоского резинотросового тягового органа на барабане. Вісник Дніпропетровського національного університету залізничного транспорту ім. акад. В. Лазаряна, №30, 88-91.
Belmas, I.V., Kolosov, D.L., Bilous, O.I., & Vorobyova, O.M. (2017). Study of a stress state of a conveyor belt with cables of different rigidity. Mathematical modeling, #1(36), 73-77. [In Ukrainian].
Бельмас, І.В., Колосов, Д.Л., Білоус, О.І., & Воробйова, О.М. (2017). Дослідження напруженого стану конвеєрної стрічки з тросами різної жорсткості. Математичне моделювання. №1(36), 73-77.
Bajda, M., Błazej, R., & Hardygóra, M. (2017). Impact of Selected Parameters on the Fatigue Strength of Splices on Multiply Textile Conveyor Belts. International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM, 17(13), 495-502.
Marasová, D., Ambriško, Ľ., Andrejiová, M., & Grinčová, A. (2017). Examination of the process of damaging the top covering layer of a conveyor belt applying the FEM. Journal of the International Measurement Confederation, Volume 112, 47-52.
Blazej, R., Jurdziak, L., Burduk, R., Kirjanow, A., & Kozlowski, T. (2017). Analysis of core failure distribution in steel cord belts on the cross-section. International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM Volume 17, Issue 13, 987-994. 17-th International Multidisciplinary Scientific Geoconference, SGEM 2017; Albena; Bulgaria; 29 June 2017 – 5 July 2017.
Song, W., Shang, W., & Li, X. (2009). Finite element analysis of steel cord conveyor belt splice. ET Conference PublicationsVolume 2009, Issue 556 CP, 2009 International Technology and Innovation Conference 2009, ITIC 2009; Xi'an; China; 12 October 2009 – 14 October 2009.
How to Cite
Belmas, I., Kolosov, D., Bilous, O., & Onyshchenko, S. (2018). Stress-strain state of a conveyor belt with cables of different rigidity and their breakages. Fundamental and Applied Researches in Practice of Leading Scientific Schools, 26(2), 231-238. Retrieved from