Vibrations in engineering and technology

Yaropud Vitaliy - Candidate of Technical Sciences, Associate Professor of the Department of machinery and equipment for agricultural production of Vinnytsia National Agrarian University 

(St. Soniachna, 3, Vinnytsia, Ukraine, 21008, e-mail: yaropud77@gmail.com).

Tesliuk Gennadii - Candidate of Technical Sciences, Associate Professor, Head of the Department of Tractors and Agricultural Machinery of the Dnipro State Agrarian and Economic University (25 Serhiy Yefremova St., Dnipro, Ukraine, 49600).

Datsiuk Dmytro - postgraduate student of the Department "Machinery and Equipment of Agricultural Production" of Vinnytsia National Agrarian University (3 Sonyachna Street, Vinnytsia, 21008).

Modern theoretical studies of mechanical-technological processes of the process of moving seeds under the action of working bodies of technical means are reduced to analytical methods, which leads to the compilation of complex systems of differential equations with boundary and initial conditions. Among the modern methods of computer modeling of mechanical-technological processes of moving a loose medium (seed mixture), methods based on the concept of discrete representation of matter - the method of particle dynamics and the method of discrete elements - are of particular interest. The Discrete Element Method (DEM) is an engineering numerical method for modeling the motion of many interacting discrete objects, which are usually solid particles. The purpose of the research is to simulate the movement and packing of seeds of small-seeded crops using the method of discrete elements in the Simcenter STAR-CCM+ CAE system software package. The physical models for simulation in the Simcenter STAR-CCM+ software package are: three-dimensional model, non-stationary implicit model, one-component gas (air) mathematical model, ideal gas (air) model, turbulent air flow model, k-ε air turbulence model, isothermal energy equation fluids, Reynolds-averaged Navier-Stokes equation, separated flow, gradient and boundary methods, Lagrangian model of multiphase environment, multiphase interaction model, discrete element model (DEM), gravity field/ As a result of research, a mathematical model of random packing of small-seeded seeds crops in the container, which allowed to determine the regression equation of its density from the effective diameter of the seeds and the coefficient of variation of this diameter. It was found that with a decrease in the effective seed diameter Dμ and an increase in the coefficient of variation δ, an increase in the random packing density φ of small-seeded crops of spherical shape in the container is observed. This is explained by the fact that the seeds of a smaller diameter fill the voids between the seeds of a larger diameter.

1. Yaropud V.M., Aliyev E.B., Datsyuk D.A. Methods of numerical modeling of the sowing apparatus of the breeding seeder of small-seed crops. Machinery & Energetics. Journal of Rural Production Research. 2021. 12 (3), 121 127. http://dx.doi.org/10.31548/machenergy2021.02

2. Yaropud V.M., Datsyuk D.A. Ways to improve the sowing apparatus of the breeding seeder of small-seed crops. Vibrations in engineering and technology. 2021.   1 (100), 156 166. DOI : 10.37128/2306-8744-2021-1-15

3. Datsyuk D.A., Yaropud V.M., Aliyev E.B. Appareil de semis pour l’ensemencement de cultures à petites céréales. pat. n° 149682 Ua, IPC A01S 7/04, A01V 49/06. 2021. Boul.   48. 4 s.

4. Aliev E. B., Bandura V. M., Pryshliak V. M., Yaropud V. M., Trukhanska O. O. Modeling of mechanical and technological processes of the agricultural industry. INMATEH – Agricultural Engineering. № 54 (1). 2018. Р. 95−104. http://aliev.in.ua/doc/stat/2018/stat_2.pdf. [5]

5. Aliiev E., Gavrilchenko A., Tesliuk H., Tolstenko A., Koshul’ko V. 2019. Improvement of the sunflower seed separation process efficiency on the vibrating surface. Acta Periodica Technologica. APTEFF. № 50. 2019. Р. 12–22. DOI: 10.2298/APT1950012A

6. Aliyev E.B. Modèles physiques et mathématiques des processus de séparation de précision des graines de tournesol : monographie. Zaporozhye : Statut. 2019. 196 p. ISBN 978-617-7759-32-3.

7. Vasilenko O.V. 2020. Computer simulation : tutorial. Zaporozhye : NU "Zaporizhzhya Polytechnic." 2020. 175 cf. ISBN 978-617-529-293-8.

8. Andrunik V.A., Vysotskaya V.A., Pasechnik V.V., Chirun L.B., Chirun L.V. Méthodes numériques en sciences informatiques : manuel. Maison d’édition "New World-2000." 2017. 470 cf. ISBN 978-617-7519-06-4.

9. Aliev E.B., Mikolenko S.Yu., Sova N.A. et autres. Appui technique et technologique à la transformation sans déchets de matières premières céréalières en produits alimentaires et en aliments pour animaux : monographie collective/par total. édité par E. B. Aliyev. LIRA. 2022. 192 s. ISBN 978-966-981-687-0.

10. Shevchenko I., Aliiev E. Improving theefficiency ofthe process ofcontinuous flowmixing of bulkcomponents. Eastern-European Journal of Enterprise Technologies. № 6/1 (108). 2020. P. 6–13. DOI: 10.15587/1729-4061.2020.216409

11. Yaropud V., Honcharuk I., Datsiuk D., Aliiev E. The model for random packaging of small-seeded crops’ seeds in the reservoir of selection seeders sowing unit. Agraarteadus, Vol. 33 (1). 2020. Р. 199–208. https://dx.doi.org/10.15159/jas.22.08

12. Shevchenko I., Aliiev E. Study of the process of calibration of confectionery sunflower seeds. Food Science and Technology. Volume 12, Issue 4. 2018. P. 135–142.

13. Yaropud V., Honcharuk I., Datsiuk D., Aliiev E. The model for random packaging of small-seeded crops’ seeds in the reservoir of selection seeders sowing unit. Agraarteadus, Vol. 33 (1). 2020. Р. 199–208. https://dx.doi.org/10.15159/jas.22.08

14. Dinesh J. Modelling and Simulation of a Single Particle in Laminar Flow Regime of a Newtonian Liquid. Excerpt from the Proceedings of the COMSOL Conference. Bangalore. 2009. P. 1–9 https://www.comsol.com/paper/download/46302/Jamnani.pdf

15. Di Renzo Alberto, Di Maio Francesco Paolo. Comparison of contact-force models for the simulation of collisions in DEM-based granular flow codes. Chemical Engineering Science. № 59 (1). 2004. Р. 525–541. DOI: 10.1016/j.ces.2003.09.037

16. Komiwes V., Mege P., Meimon Y., Herrmann H. Simulation of granular flow in a fluid applied to sedimentation. – Granular Matter, 8 (1). 2006. Р. 41–54. DOI: 10.1007/s10035-005-0220-3

17. Kubicki D., Lo S. Slurry transport in a pipeline – Comparison of CFD and DEM models. – Ninth International Conference on CFD in the Minerals and Process Industries. CSIRO, Melbourne, Australia, 10-12 December 2012. Р. 1-6.

18. Sang Won Han, Won Joo Lee, Sang Jun Lee. Study on the Particle Removal Efficiency of Multi Inner Stage Cyclone by CFD Simulation. World Academy of Science, Engineering and Technology. № 6. 2012. Р. 411–415. DOI: 10.5281/zenodo.1330605

19. Satish G., Ashok Kumar K., Vara Prasad V., Pasha Sk. M. Comparison of flow analysis of a sudden and gradual changeof pipe diameter using fluent software. IJRET: International Journal of Research in Engineering and Technology, № 2 (12). 2013. Р. 41–45. https://citeseerx.ist.psu.edu/viewdoc/download?doi= 10.1.1.686.4460&rep=rep1&type=pdf

20. Iguchi Manabu, Ilegbusi Olusegun J. Basic Transport Phenomena in Materials Engineering. Springer. 2014. 260 p. DOI: 10.1007/978-4-431-54020-5