The results of the mathematical simulation of the movement of grain material on the surface of the perforated deck of the vibro-pneumatic-impulse separator have been presented. Both force and kinematic models were employed, considering the geometric characteristics of the perforated deck surface in dynamic interaction with the kinematic indicators of processing. The calculations based on the proposed model allow for determining the trajectories of movement, velocities, and accelerations of the grain seeds within the grain medium under the combined action of vibrations and the pneumatic-impulse flow. As a result of the scientific research and analysis of the forces created according to the developed mathematical model, it has been established that the most significant influence on the process of grain material movement, both in the horizontal and vertical directions, is exerted by the impulse force (pulsations) of the air flow, the pressure force of the underlying layers of the grain medium (for seeds in the middle part and on the surface of the perforated deck), frictional forces, the weight of the seeds, and the Archimedean force. Therefore, in order to intensify the process of fractionation of the grain medium and increase the specific productivity of the vibro-pneumatic-impulse separator, it is necessary to increase the force of the pulsating air flow, the force of inertia of the oscillatory motion, friction, and lateral pressure on the seeds within the grain medium.

seeds, density, specific load, differential equations, seed displacement velocity, experimental research, prototype

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9. Identification of a mixture of grain particle velocity through the holes of the vibrating sieves grain separators / L. Tishchenko et al. Eastern-European Journal of Enterprise Technologies. 2016. Vol. 2, no. 7(80). P. 63. https://doi.org/10.15587/1729-4061.2016.65920

10. Improvement of the sunflower seed separation process efficiency on the vibrating surface / E. Aliiev et al. Acta Periodica Technologica. 2019. No. 50. P. 12–22. https://doi.org/10.2298/apt1950012a

11. Improving the efficiency of harvesting sunflower seed crops / S. Stepanenko et al. INMATEH Agricultural Engineering. 2022. P. 331–340. https://doi.org/10.35633/inmateh-67-34

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13. Modeling of Aerodynamic Separation of Preliminarily Stratified Grain Mixture in Vertical Pneumatic Separation Duct / S. Kharchenko et al. Applied Sciences. 2021. Vol. 11, no. 10. P. 4383. https://doi.org/10.3390/app11104383

14. Reguła T., Frączek J., Fitas J. A Model of Transport of Particulate Biomass in a Stream of Fluid. Processes. 2020. Vol. 9, no. 1. P. 5. https://doi.org/10.3390/pr9010005

15. Research of the process of air separation of grain material in a vertical zigzag channel / S. Stepanenko et al. Journal Of Central European Agriculture. 2023. Vol. 24, no. 1. P. 225–235. https://doi.org/10.5513/jcea01/24.1.3732

16. Theoretical studies of the process of grain material movement on the surface of the stepped vibrating feeder / S. Stepanenko et al. 2(105). 2022. No. 2(105). P. 25–32. https://doi.org/10.37128/2306-8744-2022-2-3

17. Theoretical study of pneumatic separation of grain mixtures in vortex flow / V. Adamchuk et al. In Engineering for Rural Development. No. 20. P. 657–664.

18. Theoretical Study of Vibrocentrifugal Separation of Grain Mixtures on a Sieveless Seed-cleaning Machine / V. Adamchuk et al. Rural Sustainability Research. 2021. Vol. 46, no. 341. P. 116–124. https://doi.org/10.2478/plua-2021-0023

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