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A Mathematical Model of the Plane-Parallel Movement of an Asymmetric Machine-and-Tractor Aggregate

Author

Listed:
  • Volodymyr Bulgakov

    (Department of Mechanics, Faculty of Construction and Design, National University of Life and Environmental Sciences of Ukraine, 03041 Kyiv, Ukraine)

  • Simone Pascuzzi

    (Department of Agricultural and Environmental Science, University of Bari Aldo Moro, 70124 Bari, Italy)

  • Volodymyr Nadykto

    (Department of Machine Use in Agriculture, Mechanical Engineering Faculty, Tavria State Agrotechnological University of Ukraine, 72310 Melitopol, Ukraine)

  • Semjons Ivanovs

    (Faculty of Engineering, Latvia University of Agriculture, LV2130 Jelgava, Latvia)

Abstract

Technological peculiarities of cultivation and harvesting of some agricultural crops make it necessary to use asymmetric machine-and-tractor aggregates. However, for the time being there is no sufficiently complete, analytical study of the steady movement of such machine-and-tractor aggregates. This necessitates the development of a theory of stable movement of the aggregates which would allow choosing their optimal kinematic and design parameters. On the basis of the results of mathematical simulation, a system of linear differential equations of the second order is obtained describing transverse displacement of the center of masses of the aggregating wheeled tractor and turning of its longitudinal axis of symmetry by some angle around the indicated center of mass, as well as the deviation angle of the rear-trailed harvester from the longitudinal axis of the tractor at any arbitrary moment of time. This system of differential equations can be applied for numerical calculations on the PC, which will make it possible to evaluate the stability of the movement of the asymmetric machine-and-tractor aggregate when it performs the technological process.

Suggested Citation

  • Volodymyr Bulgakov & Simone Pascuzzi & Volodymyr Nadykto & Semjons Ivanovs, 2018. "A Mathematical Model of the Plane-Parallel Movement of an Asymmetric Machine-and-Tractor Aggregate," Agriculture, MDPI, vol. 8(10), pages 1-15, October.
    • Handle: RePEc:gam:jagris:v:8:y:2018:i:10:p:151-:d:173129
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    References listed on IDEAS

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    1. Simone Pascuzzi & Alexandros Sotirios Anifantis & Ileana Blanco & Giacomo Scarascia Mugnozza, 2016. "Electrolyzer Performance Analysis of an Integrated Hydrogen Power System for Greenhouse Heating. A Case Study," Sustainability, MDPI, vol. 8(7), pages 1-15, July.
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    Cited by:

    1. Volodymyr Bulgakov & Simone Pascuzzi & Valerii Adamchuk & Volodymyr Kuvachov & Ladislav Nozdrovicky, 2019. "Theoretical Study of Transverse Offsets of Wide Span Tractor Working Implements and Their Influence on Damage to Row Crops," Agriculture, MDPI, vol. 9(7), pages 1-10, July.
    2. Marek Boryga & Paweł Kołodziej & Krzysztof Gołacki, 2020. "Application of Polynomial Transition Curves for Trajectory Planning on the Headlands," Agriculture, MDPI, vol. 10(5), pages 1-16, May.
    3. Volodymyr Bulgakov & Simone Pascuzzi & Hristo Beloev & Semjons Ivanovs, 2019. "Theoretical Investigations of the Headland Turning Agility of a Trailed Asymmetric Implement-and-Tractor Aggregate," Agriculture, MDPI, vol. 9(10), pages 1-11, October.
    4. Tatevik Yezekyan & Francesco Marinello & Giannantonio Armentano & Samuele Trestini & Luigi Sartori, 2018. "Definition of Reference Models for Power, Weight, Working Width, and Price for Seeding Machines," Agriculture, MDPI, vol. 8(12), pages 1-13, November.
    5. Artur Przywara & Francesco Santoro & Artur Kraszkiewicz & Anna Pecyna & Simone Pascuzzi, 2020. "Experimental Study of Disc Fertilizer Spreader Performance," Agriculture, MDPI, vol. 10(10), pages 1-11, October.
    6. Volodymyr Bulgakov & Simone Pascuzzi & Alexandros Sotirios Anifantis & Francesco Santoro, 2019. "Oscillations Analysis of Front-Mounted Beet Topper Machine for Biomass Harvesting," Energies, MDPI, vol. 12(14), pages 1-14, July.
    7. Simone Pascuzzi & Alexandros Sotirios Anifantis & Francesco Santoro, 2020. "The Concept of a Compact Profile Agricultural Tractor Suitable for Use on Specialised Tree Crops," Agriculture, MDPI, vol. 10(4), pages 1-10, April.
    8. Volodymyr Bulgakov & Simone Pascuzzi & Semjons Ivanovs & Francesco Santoro & Alexandros Sotirios Anifantis & Ievhen Ihnatiev, 2020. "Performance Assessment of Front-Mounted Beet Topper Machine for Biomass Harvesting," Energies, MDPI, vol. 13(14), pages 1-12, July.
    9. Volodymyr Bulgakov & Simone Pascuzzi & Semjons Ivanovs & Zinoviy Ruzhylo & Ivan Fedosiy & Francesco Santoro, 2020. "A New Spiral Potato Cleaner to Enhance the Removal of Impurities and Soil Clods in Potato Harvesting," Sustainability, MDPI, vol. 12(23), pages 1-19, November.
    10. Simone Pascuzzi & Volodymyr Bulgakov & Francesco Santoro & Alexandros Sotirios Anifantis & Semjons Ivanovs & Ivan Holovach, 2020. "A Study on the Drift of Spray Droplets Dipped in Airflows with Different Directions," Sustainability, MDPI, vol. 12(11), pages 1-15, June.
    11. José Ignacio Rojas-Sola & Gloria del Río-Cidoncha & Ángel Coronil-García, 2020. "Industrial Archaeology Applied to the Study of an Ancient Harvesting Machine: Three-Dimensional Modelling and Virtual Reconstruction," Agriculture, MDPI, vol. 10(8), pages 1-23, August.

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