Issue №: 4(119)
The journal deals with the problems of vibration technologies and machines, mathematical methods of vibration process studies, information on design and technological development, presents teaching and methodological aspects of teaching in the Higher School of Applied Sciences, where vibration machines and technologies are studied.
MECHANICS OF IMPACT INTERACTION OF A BEE BREAD GRANULE WITH WORKING ELEMENTS OF A ROTARY DEVICE
Belykh Oleksandr, postgraduate student of the State Biotechnological University, 44 Alchevskikh St., Kharkiv, Ukraine, 61002. E-mail: Sashafincol@gmail.com
The article investigates the mechanics of impact interaction between a bee bread granule and the working elements of a rotary device used for its separation from the wax–bee bread mass in beekeeping technologies. The relevance of the study is determined by the need to increase the energy efficiency and technological reliability of mechanical processing of biological materials while preserving their natural structure and biological value. The purpose of the work is to develop a theoretical model of impulse–contact interaction between a bee bread granule and the hammer surface and to establish the regularities of the post-impact motion of the granule in the field of inertial forces of the rotor mechanism. The research is based on the methods of classical rigid body mechanics, impact theory, and mathematical modeling in a rotating coordinate system. The equations of motion of the granule during the contact phase and the subsequent free motion are derived, taking into account centrifugal, Coriolis, gravitational, and frictional forces. An analytical description of the post-impact trajectory in the rotating and fixed coordinate systems is obtained. The influence of the rotor angular position, rotational speed, hammer mass, and impact location on the motion characteristics and energy dissipation of the system is analyzed. It is shown that an increase in the hammer mass above an optimal value does not lead to a proportional increase in the energy transferred to the granule and, on the contrary, causes a significant decrease in impact efficiency due to the inelastic nature of the interaction. The obtained results make it possible to determine rational impact conditions that ensure effective separation of the granules while minimizing their destruction. The developed mathematical model can be used for the parametric optimization of rotary devices for bee product processing and may also be applied to the analysis of impact dynamics in other technological systems dealing with granular and biologically heterogeneous materials.
1. Syromiatnykov, Yu. M., Syromiatnikov, P. S., Kharchenko, O. M., & Bielykh, O. V. (2025). Ohliad suchasnykh pidkhodiv do vdoskonalennia tekhnolohii vytoplennia bdzholynoho vosku: tekhnichni rishennia ta inzhenerni perspektyvy [Review of modern approaches to improving beeswax melting technologies: technical solutions and engineering prospects]. Tekhnichnyi servis ahropromyslovoho kompleksu – Technical Service of Agro-Industrial Complex, 26, 45–88. https://doi.org/10.64165/journal-ts.2025.26.45-88 [in Ukrainian].
2. Syromiatnykov, Yu. M., Shablia, V. P., Kharchenko, O. M., & Bielykh, O. V. (2024). Biolohichnyi kontrol varohozu za dopomohoiu mikrobnykh preparativ: innovatsiini pidkhody v ekolohichnomu bdzhilnytstvi [Biological control of varroosis using microbial preparations: innovative approaches in ecological beekeeping]. Svyndarstvo i ahropromyslove vyrobnytstvo – Pig Breeding and Agro-Industrial Production, 4(82), 80–93. https://doi.org/10.37143/2786-7730-2024-4(82)6 [in Ukrainian].
3. Shablia, V. P., & Syromiatnykov, Yu. M. (2021). Vidnovlennia napriamku bdzhilnytstva v KhNTUSH im. Petra Vasylenka [Restoration of beekeeping direction at KhNTUSG named after Petro Vasylenko]. Visnyk KhNTUSH – Bulletin of KhNTUSG, 211, 106–108 [in Ukrainian].
4. Syromiatnykov, Y. N., & Syromyatnikov, P. S. (2025). Energy-saving technologies in the production of environmentally friendly feed: Ways to improve efficiency. AGRO ILM – O‘zbekiston qishloq va suv xo‘jaligi, 122–124. https://doi.org/10.5281/zenodo.18042577
5. Syromiatnykov, Y., Tursunova, K., Ishniyazova, S., & Jaloliddin, A. (2025). Physiology and immunity of honey bees (Apis mellifera) as a factor of disease resistance. American Journal of Botany and Bioengineering, 2(9), 114–123. https://doi.org/10.51699/ajbb.v2i9.1499
6. Tursunova, K., Syromiatnykov, Y., Ishniyazova, S., & Otabek, M. (2025). Influence of sanitary and preventive measures on apiary productivity. American Journal of Botany and Bioengineering, 2(9), 124–132. https://doi.org/10.51699/ajbb.v2i9.1500
7. Rosas, A., & Buceta, J. (2003). Dynamics of two granules. Physical Review E, 68(2), 021303. https://doi.org/10.1103/physreve.68.021303
8. van der Meer, D. (2017). Impact on granular beds. Annual Review of Fluid Mechanics, 49, 463–484. https://doi.org/10.1146/annurev-fluid-010816-060213
9. Sano, T., & Kanazawa, K. (2015). Granular rotor as a probe for a nonequilibrium bath. Physical Review E, 94(3), 032910. https://doi.org/10.1103/physreve.94.032910
10. Wang, H., & Huang, Y. (2025). Influence of rotor-induced airflow on particle fragmentation in an impact crusher: A CFD–DEM study. ACS Omega, 10, 46051–46064. https://doi.org/10.1021/acsomega.5c06659
11. Ghodki, P. S., & Chhetri, A. (2020). Numerical modeling of granular flow in star valve type cryogenic precooler. Journal of Food Process Engineering, 43. https://doi.org/10.1111/jfpe.13376
12. Yang, F., & Fang, Z. (2015). Load and wear experiments on the impact hammer of a vertical shaft impact crusher. IOP Conference Series: Materials Science and Engineering, 103, 012041. https://doi.org/10.1088/1757-899x/103/1/012041
13. Feng, J., & Shi, L. (2020). Study on wear form of split cone of vertical shaft impact crusher. Journal of Scientific Research and Reports, 26(11), 13–20. https://doi.org/10.9734/jsrr/2020/v26i1130331
14. Xu, L., & Cui, W. (2024). Design and parameter optimization of a combined rotor and lining plate crushing organic fertilizer spreader. Agronomy, 14(8), 1732. https://doi.org/10.3390/agronomy14081732
15. Paraschiv, M., & Moiceanu, G. (2021). Optimization issues of a hammer mill working process using statistical modelling. Sustainability, 13, 973. https://doi.org/10.3390/su13020973
16. Kim, D., & Kim, H. (2017). Dissipative dynamics of granular materials. IntechOpen. https://doi.org/10.5772/intechopen.69196
17. Kollmer, J., & Sack, A. (2013). Relaxation of a spring with an attached granular damper. New Journal of Physics, 15(9), 093023. https://doi.org/10.1088/1367-2630/15/9/093023
18. Păun, V., & Stroescu, G. (2019). Concaves influence on the milling process of cereal seeds in hammer mills. E3S Web of Conferences, 112, 03009. https://doi.org/10.1051/e3sconf/201911203009
19. Ahmadian, H., & Ghadiri, M. (2021). Granule attrition by coupled particle impact and shearing. Advanced Powder Technology, 32, 204–210. https://doi.org/10.1016/j.apt.2020.12.001
20. Li, T., Shi, G., & Zhang, Q. (2024). Research on hammering characteristics of hammer mill based on discrete element method. Engineering Research Express, 6(3), 035540. https://doi.org/10.1088/2631-8695/ad6ca4
21. Kyzas, G. Z., & Mitropoulos, A. (2018). Granularity in materials science. IntechOpen. https://doi.org/10.5772/intechopen.75231
About journal
The journal "Vibrations in engineering and technology" presents materials on the following issues
• Theory of processes and machines
• Mechanical Engineering and materialprocessing
• Processing and food production
The journal "Vibrations in Engineering and Technologies" is included in the list of technical scientific publications of Ukraine
(Category "B", Order of the Ministry of Education and Science of Ukraine dated July 2, 2020 No. 886)
Old version of the site: http://vibrojournal.vsau.edu.ua/
The journal "Vibrations in Engineering and Technology" is indexed by the following databases and catalogs:
The certificateof massmedia State registration:kv no 16643-5115 from 30.04.2010 .
Founder of the journal: Vinnytsia National Agrarian University
Kind of publication: journal
Type of publication : Scientific
Publication status: Domestic
Year of founding:
Periodicity: 4 times a year
Extent: 18.75 nominal printed pages
ISSN: 2306-8744 (printed version), (online)
Language of edition : (mixed languages) Ukrainian, English
The scope of the distribution and the category of readers: national, foreign, teaching staff, scientists, businessmen.
Periodical is included in the list of scientific professional editions of Ukraine approved by the Order of Ministry of Education and Sciences of Ukraine from 21.12.2015 No. 1328.
The journal "Vibrations in engineering and technology" is included in the "Catalogue of periodicals of Ukraine".
Journal subscription can be executed in each post office department.
Subscription Index is 99720.
Old version of site: http://vibrojournal.vsau.edu.ua/
In June 1994 the 2nd International Scientific and Technical Conference "Application of vibrations for technological purposes" was organized on the basis of Vinnytsia State Agricultural Institute. Leading experts in this field, noting the significant contribution to the school of Vibration Engineering under the leadership of P. S. Bernyk, proposed to create a professional all-Ukrainian scientific and technical journal "Vibration in engineering and technology..The journal was foundedat Vinnytsia State Agricultural Institute and P.S. Bernyk was elected to be the chief editor .
For all these years (since 1994) theJournal "vibration in engineering and technology" published 94 issues wherestudy of vibration effects, the creation of progressive energy saving technologies and equipment for their implementation were highlighted.
Currently Kaletnik H.M PhD , professor, academician NAAS is the chief editor of the "Vibrations in engineering and Technology"
The journal "Vibration in Engineering and technology", which has no analogues on the territory of Ukraine, is well known abroad.





