Mathematical Model of a Vineyard Cultivator


  • А. Т. Musurmonov Scientific Researcher Institute of Horticulture, Viticulture and Winemaking named after Academician Mahmud Mirzayev, Tashkent, Uzbekistan
  • Х. В. Utaganov Samarkand State University of Veterinary Medicine, Animal Husbandry and Biotechnology, Samarkand, Uzbekistan
  • U. O. Ochildiev Scientific Researcher Institute of Horticulture, Viticulture and Winemaking named after Academician Mahmud Mirzayev, Tashkent, Uzbekistan


vineyard cultivator, vineyard, mathematical model


The article presents information to describe the movement of a vineyard cultivator, the basics of the concept of graph theory are used, in which various interaction forces arise in articulated joints, a fixed rectangular system is chosen as an inertial coordinate system, as a multi-mass system. A general model of the vineyard cultivator functioning will use the most general principle of dynamics - the Dalembert principle.


A. T. Musurmanov and X. B. Utaganov, “Development and introduction of the cultivator for the soil tillage at row spacings and vineyards lines,” A Multidisciplinary Peer Reviewed Journal, pp. 153–159, 2020.

A. I. Lurie, “Application of Maximum Principle to Simple Problems of Mechanics (in Russian), Trudy Leningradskogo Politechnicheskogo Instituta, No. 252,” Mashinostroenie, 1965.

A. B. Lurie and A. A. Grombchevsky, “Raschet i konstruirovanie sel’skohozjajstvennyh mashin [Calculation and design of agricultural machines],” Leningrad: Mashinostroenie, 1977.

J. M. Sánchez, J. P. Rodríguez, and H. E. Espitia, “Bibliometric analysis of publications discussing the use of the artificial intelligence technique agent-based models in sustainable agriculture,” Heliyon, 2022, [Online]. Available:

A. T. Musurmanov and A. O. Aripov, “Development and Implementation of a New Resource Saving Universal Machine for Vineyard Expedition,” Int J Adv Res Sci Eng Technol, vol. 6, no. 5, pp. 392–397, May 2019.

M. Y. Vygodsky, Handbook of Mathematics. Moscow,“Nauka, 1976.

S. Olimov and A. T. Musurmonov, “Studies of the Working Body for Inter-Shutter Tillage in Vineyard RowsStudies of the Working Body for Inter-Shutter Tillage in Vineyard Rows,” International Journal of Biological Engineering and Agriculture, vol. 1, no. 4, pp. 1–4, 2022.

A. T. Musurmanov, A. Sadriddinov, and X. Rakhimov, “Substantiation of Technological Parameters of Devices for Interstable Treatment of Soil in Gardens with Rotational Working Bodies,” International Journal of Advanced Research in Science, Engineering and Technology , vol. 6, no. 5, pp. 344–349, May 2019.

A. T. Musurmanov, A. Sadriddinov, and Ergashev T. F., “Study of the operation of a grenade-opening device with rotary attached working bodies,” International scientific conference “MODERN SCIENTIFIC CHALLENGES AND TRENDS,” pp. 164–171, 2020.

A. T. Musurmanov, Kh. B. Utaganov, M. A. Tukhtabaev, and N. N. Nishanbaev, “Prospective technologies for cultivating gardens and vineyards,” Journal “Innovation technologylar,” pp. 23–26, 2020.

A. T. Musurmanov, Kh. B. Utaganov, A. O. Aripov, and C. Mamazhanov, “Study of the operation of a grape opener with air flow,” Journal “Innovation technologylar,” pp. 58–62, 2020.

S. Saidivaliev, “About the movement of the car on the high-speed sections of the sorting hill,” E3S Web of Conferences, vol. 389, 2023, doi: 10.1051/e3sconf/202338905023.

S. Saidivaliev, “Analysis of the movement of an empty railcar on the longitudinal profile of the sorting slide,” E3S Web of Conferences, vol. 376, 2023, doi: 10.1051/e3sconf/202337604036.

G. Pergher, “Field testing of a biomass-fueled flamer for in-row weed control in the vineyard,” Agriculture (Switzerland), vol. 9, no. 10, 2019, doi: 10.3390/agriculture9100210.

A. Novara, “The effect of Shallow Tillage on soil erosion in a semi-arid vineyard,” Agronomy, vol. 9, no. 5, 2019, doi: 10.3390/agronomy9050257.

X. Liu, “KINETOSTATIC ANALYSIS FOR FOUR-BAR LINKAGE MECHANISM OF PROSTHETIC KNEE JOINT,” J Mech Med Biol, vol. 19, no. 4, 2019, doi: 10.1142/S0219519419500180.

C. E. Høeg, “Reaction loads analysis of floating offshore wind turbines: Methods and applications in the modal-based modeling framework,” Ocean Engineering, vol. 266, 2022, doi: 10.1016/j.oceaneng.2022.112952.

A. R. E. Oliveira, “History of the Bernoulli Principle,” Mechanisms and Machine Science, vol. 73, pp. 1161–1178, 2019, doi: 10.1007/978-3-030-20131-9_115.

F. Leonelli, “The constitutio criminalis theresiana and the representation of torture in German criminal codes during the time of the enlightenment,” Ikon, vol. 12, pp. 193–202, 2019, doi: 10.1484/J.IKON.4.2019024.

P. Burg, “The Effect of Mulch Materials on Selected Soil Properties, Yield and Grape Quality in Vineyards under Central European Conditions,” Agronomy, vol. 12, no. 8, 2022, doi: 10.3390/agronomy12081862.

B. Claverías, “The rabassa morta contract: Its actors and the defence of its emphyteutic nature, 1740-1850,” Hist Agrar, no. 78, pp. 7–36, 2019, doi: 10.26882/histagrar.078e01m.

C. Dillis, “A theory of geo-social marginalization: A case study of the licensed cannabis industry in California,” J Environ Manage, vol. 355, 2024, doi: 10.1016/j.jenvman.2024.120396.

S. Mirzakhodjaev, “Field Tests of a Cultivator Proceeds between Row Soils in Vineyards,” BIO Web Conf, vol. 85, 2024, doi: 10.1051/bioconf/20248501036.

P. Harsh, “Wine in the Cloud, or: Smart Vineyards with a Distributed ‘Extreme Data Database’ and Supercomputing,” Proceedings of Science, vol. 434, 2023.

V. B. Mercier, “Development of an Integrated Solution to Prevent Spring Frost Damage Using an Aqueous-based Insulating Foam,” Chimia (Aarau), vol. 76, no. 7, pp. 709–713, 2022, doi: 10.2533/chimia.2022.709.

M. Zhang, “Determination of water content in corn stover silage using near-infrared spectroscopy,” International Journal of Agricultural and Biological Engineering, vol. 12, no. 6, pp. 143–148, 2019, doi: 10.25165/j.ijabe.20191206.4914.

L. Azeez, “Bioactive compounds’ contents, drying kinetics and mathematical modelling of tomato slices influenced by drying temperatures and time,” Journal of the Saudi Society of Agricultural Sciences, vol. 18, no. 2, pp. 120–126, 2019, doi: 10.1016/j.jssas.2017.03.002.

S. Goddek, “A fully integrated simulation model of multi-loop aquaponics: A case study for system sizing in different environments,” Agric Syst, vol. 171, pp. 143–154, 2019, doi: 10.1016/j.agsy.2019.01.010.

N. Aldoshin, “Harvesting of mixed crops by axial rotary combines,” TAE 2019 - Proceeding of 7th International Conference on Trends in Agricultural Engineering 2019, pp. 20–25, 2019.

Y. Zhou, “Diagnosis of winter-wheat water stress based on UAV-borne multispectral image texture and vegetation indices,” Agric Water Manag, vol. 256, 2021, doi: 10.1016/j.agwat.2021.107076.




How to Cite

Musurmonov А. Т., Utaganov Х. В., & Ochildiev, U. O. (2024). Mathematical Model of a Vineyard Cultivator. International Journal of Biological Engineering and Agriculture, 3(2), 24–31. Retrieved from