Mathematical Modelling in 3D of Opener with Scatterer of the Grain-Fertilizer Seeder


  • Sayakhat NUKESHEV S.Seifullin Kazakh Agro Technical University, Pobedy 62, 010011 Astana, Kazakhstan
  • Valentin SLAVOV University of Chemical Technology and Metallurgy, Sv. Kliment Ohridski Bull., 1756 Sofia, Bulgaria
  • Nurbol KAKABAYEV Sh.Ualikhanov Kokshetau State University, Abaya 76, 020000, Kokshetau, Kazakhstan
  • Maxat AMANTAYEV Kostanay department of “Kazakh Scientific Research Institute of Mechanization and Electrification of Agriculture” LLP, Abay Ave., 34, 010011, Kostanay, Kazakhstan



kinematics model, matrix method, scatterer-pendulum hemisphere, the seeding opener, the grain-fertilizer seeders


This paper presents a mathematical modelling in 3D space of the scatterers of seeding opener of the grain-fertilizer seeder using the matrix method. The investigated model is presented as a mechanical system with eight degrees of freedom. Based on the results of simulation, the trajectories of the points on the oscillating scatterer in the form of a pendulum hemisphere and their projections on the XOZ and XOY coordinate planes as well as the linear velocity components of the considered points and the angular velocities components of the investigated scatterer are derived. The obtained data allow us to state that the use of the oscillating scatterer-pendulum hemisphere will improve the quality of sowing in terms of the flight range, spread and distribution of seeds, consequently, it will increase in the yield of crops. The results will also be used in further studies of mechanical system dynamics of the investigated seeding opener with scatterer of the grain-fertilizer seeders.