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Metal Forming
Название On calculation of stress-strain state of steel closed ropes in extension and twisting. Part 1. Determination of generalized stiffness and deformation coefficients
DOI 10.17580/cisisr.2021.02.04
Автор V. F. Danenko, L. M. Gurevich
Информация об авторе

Volgograd State Technical University, Volgograd, Russia:

V. F. Danenko, Cand. Eng., Associate Prof., e-mail: omd@vstu.ru
L. M. Gurevich, Dr. Eng., Associate Prof.


Comparative analysis of the results of determination of generalized coefficients of stiffness and deformation for closed hoisting rope in extension and twisting was conducted via analytical calculation, using generalized static equations and computer finite element modeling. Computer modeling allows to determine the resulting values of axial force P and torque M in closed rope via summarizing of the values of internal forces and torques in the layers that are laid with different directions. It decreases calculation w orkability for the rope stress-strain state. It is shown that the results of analytical calculation of generalized stiffness and deformation coefficients in rope twisting differ by 24 % in average with the results of finite element calculation, based on the static equations. The value of rope elasticity module Ек corresponds to the values of elasticity module for closed ropes during the first loading. Analytical calculation provides the values of Ек module exceeding by 6–7 % the average value of elasticity module of closed ropes (Ек = 160 GPа), that is achieved by preliminary elongation (elastic-plastic extension). It was established that analytical calculation of the stiffness coefficient in twisting does not provide the reliable results owing to absence of accounting the difference in directions of laying of rope layers. Coincidence or opposition in directions of laying of rope layers and torque determines respectively extension or compression of rope layer wires in twisting. Untwisting of the external layer, consisting of Z-shape wires, leads to unloading of the layer and gap forming between wires, while this gap exceeds the allowance on wire dimension and promotes violation of rope structural integrity.

Ключевые слова Closed hoisting rope, finite element modeling, stress-strain state, wire, rope layer, extension, twisting, force, torque, deformation
Библиографический список

1. Ivanovskiy V. N., Sabirov A. A., Degovtsov A. V., Pekin S. S. Rope pump rod. Patent 2527275 RU. Bill. No. 24. Announced 24.06.2013. Published 27.08.2014.
2. Ivanovskiy V. N., Sabirov A. A., Mazein I. I. et al. Efficiency rise of oil wells operation with side holes of small diameter. Neftegaz.ru. 2019. No. 6. pp. 62–69.
3. Glushko M. F. Steel lifting ropes. Kiev: Tekhnika. 1966. 328 p.
4. Khalfin M. N., Ivanov B. F., Kharkovskiy E. V. Determination of the strength reserve factor for a track rope with buckling account. Izvestiya Tulskogo gosudarstvennogo universiteta. Tekhnichexkie nauki. 2018. No. 1. pp. 122–126.
5. Danenko V. F., Gurevich L. M. Simulation of stress-strain state of closed rope during stretching and twisting. Deformatsiya i razrushenie materialov. 2021. No. 1. pp. 2–9.
6. Song B., Wang H., Cui W., Liu H., Yang T. Distributions of stress and deformation in a braided wire rope subjected to torsional loading. The Journal of Strain Analysis for Engineering Design. 2018. Vol. 54. No. 1. pp. 3–12. DOI: 10.1177/0309324718800814.
7. Kalentyev E. A., Tarasov V. V. Numerical analysis of the stressstrain state of a rope thread with linear touch during extension and twisting. Vychislitelnaya mekhanika sploshnykh sred. 2010. Vol. 3. No. 4. pp. 16–28.
8. Getman I. P., Ustinov Yu. A. About the methods of ropes calculation. The problem of extension-twisting. Prikladnaya matematika i mekhanika. 2008. Vol. 72. Iss. 1. pp. 81–90.
9. Polyakov S. V. Study of the lifting rope with appeared variations of geometrical parameters and mechanical properties of screw elements. Nauchno-tekhnicheskiy vestnik Bryanskogo gosudarstvennogo universiteta. 2019. No. 2. pp. 257–264.
10. Liu H., Wang H., Song B., Han X., Han B., Lin J. Modeling of braided wire ropes under tension and torsional loads. The Journal of Strain Analysis for Engineering Design. 2020. Vol. 56. No. 4. pp. 216–224. DOI: 10.1177/0309324720958257.
11. Danilin A. N., Ryzhov S. V., Tsvetkov Yu. L., Shalashilin V. I. A wire model for overhead transmission line. Mekhanika kompozitsionnykh materialov i konstruktsiy. 2005. Vol. 11. No. 4. pp. 564–572.
12. Anosov V. Yu., Danilin A. N., Kurdyumov N. N. On stiffness of spiral-type wire constructions. Trudy MAI. 2015. No. 80. http://www.mai.ru/science/trudy/published.php?ID=56958.

13. Tarasov V. V., Kalentyev E. A., Novikov V. N. Steel ropes. Calculation of constructions and assessment of operating properties. Mekhanika i fisiko-khimiya geterogennykh sred, nanosistem i novykh materialov. 2015. pp. 237–259.
14. Jun M. A., Shi-rong G. E. , De-kun Zhang. Distribution of wire deformation within strands of wire ropes. Journal of China University of Mining & Technology. 2008. Vol. 18. No. 3. pp. 475–478.
15. Fontanari V., Benedetti M., Monelli B. D. Elasto-plastic behavior of a Warrington-Seale rope: Experimental analysis and finite element modeling. Engineering Structures. 2015. Vol. 82. pp. 113–120.
16. Raoof M., Kraincanic I. Prediction of coupled axial/torsional stiffness coefficients of locked-coil ropes. Computers and Structures. 1998. Vol. 69. pp. 305–319.
17. Antonova O. V., Nemov A. S., Voinov I. B., Goncharov P. S., Borovkov A. I. Finite element analysis of ropes. Comparison of Abaqus, LSDYNA, MSC. MARC software systems. XXXVI week of science in St. Petersburg State Polytechnic University: Proceedings of the All-Russian inter-university scientific-technical conference of students and post-graduates. St. Petersburg, November 26 – December 1). St. Petersburg. Izdatelstvo SPbGPU. 2009. http://elib.spbstu.ru/dl/007906.pdf.
18. Danenko V. F., Gurevich L. M. Simulation of extension effect on structural integrity of lifting ropes with closed construction. Materialovedenie. 2020. No. 2. pp. 43–48.
19. Bukshtein M. A. Production and use of steel ropes. Moscow: Metallurgiya. 1973. 360 p.
20. Malinovskiy V. A. Steel ropes. Part 1. Several technological, calculating and designing problems. Odessa. Astroprint. 2001. 188 p.
21. Danenko V. F., Gurevich L. M., Myazina I. R. Radial transition of lifting ropes elements with closed construction during their joint extension and twisting. Izvestiya VolgGTU: nauchnyi zhurnal. The Series “Problemy materialovedeniya, svarki i prochnosti v mashinostroenii” 2019. Vol. 233. No. 10. pp. 68–74.
22. Aliev Sh. A., Zinovyev A. V., Degovtsov A. V., Pekin A. S. Studies of strength properties of ropes with different constructions used as rope rods under effect of compressing loads. Territoriya NEFTEGAZ. 2019. No. 6. pp. 52–57.

Полный текст статьи On calculation of stress-strain state of steel closed ropes in extension and twisting. Part 1. Determination of generalized stiffness and deformation coefficients