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DOI: 10.15507/2658-4123.036.202602.238-261

UDK 631.316.4

 

The Methods for Determining the Characteristics of the Trajectory Movement of a Row Machine-Tractor Unit

 

Vladimir A. Kravchenko
Dr.Sci. (Eng.), Professor, Professor of the Department of Food Production Engineering and Technology, Don State Technical University (1 Gagarin Square, Rostov-on-Don 344003, Russian Federation), ORCID: https://orcid.org/0000-0002-9152-5851, Scopus ID: 57204159481, SPIN-code: 9983-4293, This email address is being protected from spambots. You need JavaScript enabled to view it.

Lyudmila V. Kravchenko
Dr.Sci. (Eng.), Professor, Head of the Chair of Design and Technical Service of Transport and Technological Systems, Don State Technical University (1 Gagarin Square, Rostov-on-Don 344003, Russian Federation), ORCID: https://orcid.org/0000-0002-9228-3313, Researcher ID: ABD-9790-2021, Scopus ID: 57204646125, SPIN-code: 9684-8955, This email address is being protected from spambots. You need JavaScript enabled to view it.

Nikolay V. Sergeev
Cand.Sci. (Eng.), Associate Professor, Associate Professor of the Department Operation and Technical Service of Land Transport and Technological Facilities, Azov-Black Sea Engineering Institute – a branch of the Don State Agrarian University (21 Lenin St., Zernograd 347740, Russian Federation), ORCID: https://orcid.org/0000-0002-0518-8001, This email address is being protected from spambots. You need JavaScript enabled to view it.

Victor V. Zhurba
Cand.Sci. (Eng.), Associate Professor, Associate Professor of the Department of Design and Technical Service of Transport and Technological Systems, Don State Technical University (1 Gagarin Square, Rostov-on-Don 344003, Russian Federation), ORCID: https://orcid.org/0000-0002-1075-6157, Scopus ID: 57212377815, SPIN-code: 1453-5517, This email address is being protected from spambots. You need JavaScript enabled to view it.

 

Abstract
Introduction. At present, the workers of the agro-industrial complexes in the Russian Federation are faced with the task of ensuring the country food security and integrating into the global market of agricultural products. The successful implementation of these tasks depends on the solution of increasing the efficiency of agricultural units based on wheeled row tractors. When performing technological operations, the row unit moves with lateral wheel slip that negatively affects its traction and energy indicators and the quality of operating, because of the deviation in the lateral direction of the working bodies of agricultural machines unacceptable according to agrotechnical requirements. Improving the unit functional indicators during the cultivation of row-spacing of row crops can be ensured by installing tires having a rational value of lateral recovery resistance coefficients on the tractor wheels.
Aim of the Study. The study is aimed at reducing operating and energy costs and improving the quality of technological operation during the trajectory movement of agricultural row units through completing the wheels of running systems of universal row tractors with tires of rational lateral stiffness.
Materials and Methods. The objects of field testing were standard tires 9.00R-20 and 15,5R-38, a row unit consisting of a tractor Belarus 80.1 and an attached cultivator KRN-5,6. The studies were conducted using a theoretical and experimental method based on simultaneous carrying out of analytical calculations and experimental works.
Results. There have been determined rational values of the coefficients of resistance to the tire drift of the tractor Belarus 80.1.
Discussion and Conclusion. When the tractor Belarus 80.1 generates a drawbar pull of about 9 kN and its slipping is 12–15%, it is necessary to equip its dirigible wheels with tires having a lateral rigidity of more than 18 kN/rad, and driving wheels with tires having a lateral rigidity of at least 50 kN/rad. The proposed technique can be used when equipping tires of running systems of any row agricultural units.

Keywords: row unit, trajectory motion, pneumatic wheel, pneumatic wheel tire, tire slip, tire slip resistance coefficient

Conflict of interest: The authors declare that there is no conflict of interest.

For citation: Kravchenko V.A., Kravchenko L.V., Sergeev N.V., Zhurba V.V. The Methods for Determining the Characteristics of the Trajectory Movement of a Row Machine Tractor Unit. Engineering Technologies and Systems. 2026;36(2):238–261. https://doi.org/10.15507/2658-4123.26362.238-261

Authors contribution:
V. A. Kravchenko – oversight and leadership responsibility for the research activity planning and execution, including mentorship external to the core team; ideas; formulation or evolution of overar ching research goals and aims; c conducting a research and investigation process, specifically performing the experiments and data. collection; preparation, creation and / or presentation of the published work, specifically writing the initial draft.
L. V. Kravchenko – application of statistical, mathematical, computational, or other formal techniques to analyse or synthesize study data; development or design of methodology; preparation, creation and / or presentation of the published work, specifically writing the initial draft (including substantive translation).
N. V. Sergeev – conducting a research and investigation process, specifically performing the experiments and data; preparation, creation and / or presentation of the published work, specifically visualization / data presentation.
V. V. Zhurba – conducting a research and investigation process, specifically performing the experiments and data; preparation, creation and / or presentation of the published work, specifically visualization / data presentation.

All authors have read and approved the final manuscript.

Submitted 30.06.2025;
revised 06.10.2025;
accepted 14.11.2025

 

REFERENCES

  1. Ternovykh K.S., Chetverova K.S. State and Trends of Development of the Technical Base of Agricultural Enterprises. International Agricultural Journal. 2022;65(6). (In Russ., abstract in Eng.) https://doi.org/10.55186/25876740_2022_6_6_25
  2. Nemtsev A.E., Vakhrushev V.V., Demenok I.V. Renewal of Machine and Tractor Fleet Aic of the Siberian Federal District. Mechanization and Electrification of Agriculture. 2022;(55):220–222. (In Russ., abstract in Eng.) Available at: https://mechel.belal.by/jour/article/view/726 (accessed 20.08.2025).
  3. Gojaev Z.A., Pryadkin V.I., Kolyadin P.A., Artemov A.V. Promising Mobile Vehicles with Ultra-Low Pressure Tires for Agricultural Production. Tractors and Agricultural Machinery. 2022;89(4):277–286. (In Russ., abstract in Eng.) https://doi.org/10.17816/0321-4443-115016
  4. Kravchenko V., Kravchenko L., Zhurba V., Senkevich S., Duryagina V. Reducing the Dynamic Loading of the Links of the Machine-Tractor Unit Aggregated by the Mobile Power Vehicle of the 1.4 Drawbar Category. In: Networked Control Systems for Connected and Automated Vehicles: Conference proceedings. 2023. pp. 2043–2052. https://doi.org/10.1007/978-3-031-11051-1_210
  5. Ovchinnikov A.S., Kuznetsov N.G., Nekhoroshev D.D., Gapich G.S., Nekhoroshev D.A., Fomin S.D., et al. Some Ways to Reduce the Dynamic Loads of Agricultural Machine-Tractor Aggregates. ARPN Journal of Engineering and Applied Sciences. 2018;13(22):8776–8779. Available at: https://www.arpnjournals.org/jeas/research_papers/rp_2018/jeas_1118_7388.pdf (accessed 20.08.2025).
  6. Marshanin E.V., Kuznetsov E.E., Shchitov S.V., Mitrokhina O.P., Kidyaeva N.P., Kovalevsky V.N. Research Directions for Reducing the Resistance Force to Movement of a Wheeled Power Vehicle. Agrarian Scientific Journal. 2023;(7):147–152. (In Russ., abstract in Eng.) https://doi.org/10.28983/asj.y2023i7pp147-152
  7. Nekhoroshev D.D., Nekhoroshev D.A., Konovalov P.V., Popov A.Yu. Research On Experimental Machine-Tractor Aggregates Equipped With Pneumatic Hydraulic Planetary Clutch At Road Works. In: IOP Conference Series Earth and Environmental Science. 2021:012016. https://doi.org/10.1088/1755-1315/786/1/012016
  8. Nekhoroshev D.A., Nekhoroshev D.D. Investigation of Acceleration of Machine and Tractor Aggregate Using a Mathematical Model. Tractors and Agricultural Machinery. 2013;(7):20–21. (In Russ., abstract in Eng.) https://doi.org/10.17816/0321-4443-65732
  9. Kravchenko V.A. The Results of Machine-Tractor Unit’s Tests on the Basis of a 1,4 Tractor Having a Rotary Mass of the Engine. Polytematic Online Electronic Scientific Journal of the Kuban State Agrarian University. 2014;(99):356–371. (In Russ., abstract in Eng.) URL: http://ej.kubagro.ru/archive.asp?y=2014 (access date: 20.08.2025).
  10. Kravchenko V.A., Kravchenko L.V., Seregina V.V. Mathematical Model of a Machine and Tractor Unit with Edm in Transmission of a Tractor. Polythematic Online Scientific Journal of Kuban State Agrarian University. 2014;(103):251–261. (In Russ., abstract in Eng.) Available at: http://ej.kubagro.ru/archive.asp?y=2014 (accessed 20.08.2025).
  11. Senkevich S.E. Results of Experimental Studies of an Agricultural Tractor with an Elastic-Damping Mechanism in a Power Train. Izvestiya MGTU «MAMI». 2021;(4):49–59. (In Russ., abstract in Eng.) https://doi.org/10.31992/2074-0530-2021-50-4-49-59
  12. Senkevich S., Bolshev V., Ilchenko E., Chakrabarti P., Jasinski M., Leonowicz Z., et al. Elastic Damping Mechanism Optimization by Indefinite Lagrange Multipliers. IEEE Access. 2021;(9):71784–71804. https://doi.org/10.1109/ACCESS.2021.3078609
  13. Polivaev O.I., Vedrinsky O.S., Trufanov V.V. Improving the Traction and Acceleration Properties of a Machine-Tractor Unit by Upgrading the Drives of the Driving Wheels. Vestnik of Voronezh State Agrarian University. 2017;(4):112–116. (In Russ., abstract in Eng.) https://doi.org/10.17238/issn2071-2243.2017.4.112
  14. Khimchenko A.V., Vedrinsky O.S., Polivaev O.I., Orobinsky V.I. Methodology for Optimizing the Parameters of Elastic Damping Drive of a Machine-Tractor Unit Using a Simulation Model. Science in the Central Russia. 2025;(4):43–53. (In Russ., abstract in Eng.) https://doi.org/10.35887/2305-2538-2025-4-43-53
  15. Moinfar A.M., Shahgholi G., Gilandeh Y.A., Gundoshmian T.M. The Effect of the Tractor Driving System on its Performance and Fuel Consumption. Energy. 2020;(202):117803. https://doi.org/10.1016/j.energy.2020.117803
  16. Iovlev G.A., Goldina I.I. Dependence of Tractor Traction Properties on Agricultural Machinery Connections. Agricultural Machinery and Technologies. 2023;17(4):75–81. (In Russ., abstract in Eng.)
  17. https://doi.org/10.22314/2073-7599-2023-17-4-75-81
  18. Belyaev A.N., Burdykin V.D., Vysotskaya I.A., Trishina T.V., Novikov A.E. [Device for Attaching Devices to on a Tractor]. Patent 204692 U1 Russian Federation. 2021 June 7. (In Russ.) https://elibrary.ru/qmojtj
  19. Posmetev V.I., Savinkov M.A., Nikonov V.O., Posmetev V.V., Sniatkov E.V. Tractor Hinged System. Patent 2830434 Russian Federation. 2024 November 19. (In Russ., abstract in Eng.) https://elibrary.ru/atpjry
  20. Kravchenko V.A., Melikov I.M. Effect of the Tire Lateral Skid on Traction and Energy Performance of the Propulsion Unit in the Tractor of Class 5 Traction. Polytematic Online Electronic Scientific Journal of the Kuban State Agrarian University. 2021;(170):211–222. (In Russ., abstract in Eng.) https://doi.org/10.21515/1990-4665-170-012
  21. Belyaev A.N., Shatsky V.P., Kozlov V.G., Trishina T.V., Vysotskaya I.A. Determination of Theoretical Path of Vehicle Motion Upon Cornering. Journal of Applied Science and Engineering. 2022;25(5):741–747. https://doi.org/10.6180/jase.202210_25(5).0004
  22. Belyaev A.N., Shatsky V.P., Trishina T.V., Vysotskaya I.A. Analysis of the Actual Curvilinear Motion Trajectory of a Wheeled Vehicle. Vestnik of Voronezh State Agrarian University. 2022;15(1):63–70. (In Russ., abstract in Eng.) https://doi.org/10.53914/issn2071-2243_2022_1_63
  23. Belyaev A.N., Trishina T.V., Afonichev D.N. Analysis of Lateral Reactions of Soil on Tractor Wheels when Turning. Resources and Technology. 2022;19(3):44–56. (In Russ., abstract in Eng.) https://doi.org/10.15393/j2.art.2022.6363
  24. Belyaev A.N., Shatsky V.P., Gulevsky V.A., Trishina T.V. Evaluation of the Lateral Deviation of a Wheeled Vehicle from a Given Trajectory. Siberian Bulletin of Agricultural Science. 2022;52(4):120–128. (In Russ., abstract in Eng.) https://doi.org/10.26898/0370-8799-2022-4-13
  25. Kravchenko V.A., Melikov I.M. Assessing the Skid Resistance of the Propulsive Unit Large Tires in a 5 Traction Class Tractor. Polythematic Online Scientific Journal of Kuban State Agrarian University. 2021;(169):191–204. (In Russ., abstract in Eng.) https://doi.org/10.21515/1990-4665-169-014
  26. Krasilnikov V.B. [Wheel Rolling along a Deformable Surface with Slip]. Tractors and Agricultural Machinery. 1966;(6):21–23. (In Russ.)
  27. Kutkov G.M. [Study of MES as Part of a Wide-Cut MTA for Cultivating Row Crops]. Tractors and Agricultural Machinery. 1992;(10):8–10. (In Russ.)
  28. Belyaev A.N., Orobinsky V.I., Gulevsky V.A., Trishina T.V., Vysotskaya I.A. Lateral Forces on the Wheels of the Tractor at the Entrance to the Turn. Vestnik of Voronezh State Agrarian University. 2021;14(2):29–35. (In Russ., abstract in Eng.) https://doi.org/10.53914/issn2071-2243_2021_2_29
  29. Belyaev A.N., Afonichev D.N., Trishina T.V., Novikov A.E., Sheredekin P.V., Vysotskaya I.A. The Influence of the Rigidity of the Hinged System on the Stability of the Curved Movement of the Machine-Tractor Unit. Science in Central Russia. 2023;(2):115–126. (In Russ., abstract in Eng.) https://doi.org/10.35887/2305-2538-2023-2-115-126
  30. Belyaev A.N., Orobinsky V.I., Trishina T.V. [Enhancement of Stability and Controllability of a Machine- Tractor Unit During Curvilinear Motion]: Monograph. Voronezh: Voronezh State Agricultural University; 2023. 157 p. (In Russ.) https://elibrary.ru/jhzdwk
  31. Iofinov S.A., Bertsovsky V.L. [On the Maneuverability of Wheeled Tractor Units. Tractors and Agricultural Machinery]. Tractors and Agricultural Machinery. 1960;(1):8–12. (In Russ.)
  32. Kozlov D.G. On Motion of Universal Tractors with All the Steered Wheels on the Headland of the
  33. Field. The Agrarian Scientific Journal. 2016;(1):51–55. (In Russ., abstract in Eng.) https://elibrary.ru/vlrcbr
  34. Shumilin A.V., Volodin A.N. [Method for Determining the Characteristics of Vehicle Turning on a Non-Deformable Base]. Tractors and Agricultural Machinery. 1993;(8):17–19. (In Russ.)
  35. Parkhomenko S.G., Yarovoj V.G., Kravchenko V.A., Melikov I.M. Tyre Tester. Patent 2085891 C1 Russian Federation. 1997 July 27. (In Russ., abstract in Eng.) https://elibrary.ru/okphzd
  36. Kravchenko V.A., Yarovoj V.G., Parkhomenko S.G., Melikov I.M., Yarovoj A.V. Tire Tester. Patent 2107275 C1 Russian Federation. 1998 March 20. (In Russ., abstract in Eng.) https://elibrary.ru/bbwpyy
  37. Novikov V.V., Pozdeev A.V., Erontaev V.V., Chumakov D.A., Kolesov N.M., Timoshin N.V., et al. Experimental Determination of the Lateral Stiffness of the Pneumatic Wheel of the MTZ-82 «Belarus». Tractors and Agricultural Machines. 2023;90(2):123–132. (In Russ., abstract in Eng.) https://doi.org/10.17816/0321-4443-280225

 

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