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Vibrations in engineering and technology

space SCIENTIFIC JOURNALS OF VINNITSA NATIONAL AGRARIAN UNIVERSITY

Issue №: 1(104)

Published: 2022.04.29
DOI: 10.37128/2306-8744-2022-1


Description:
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.

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BACKGROUND OF A MATHEMATICAL MODEL DEVELOPMENT OF PUMPKIN SEEDS MOTION IN A VIBRATION DRYER

DOI: 10.37128/2306-8744-2022-1-2
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Tsurkan Oleh – D.Eng.Sc., associate professor of the Department of technological processes and equipment of processing and food industries of Faculty of Engineering and Technology of Vinnytsia National Agrarian University, director of Separated structural unit «Ladyzhyn Professional College of Vinnytsia National Agrarian University» (5, P. Kravchyka St., Ladyzhyn, Vinnytsia region, 24321, Ukraine, e-mail: tsurkan_ov76@ukr.net).

 

 

Annotation

Pumpkin seeds have special physical, mechanical and thermophysical characteristics, which significantly complicate the process of their post-harvest processing. It is because of the adhesion of seeds to the working bodies, the formation of conglomerates and other features of pumpkin seeds, it is recommended to use dryers with vibration activation of the material layer. This process is a complex system with a large number of elements (and, accordingly, a large number of connections between them), external influences on the system, etc. For a successful solution to the task of developing a mathematical model, it is necessary to conduct a critical analysis of existing models in order, taking into account the research carried out, to develop their own model describing the process of behavior of material particles (pumpkin seeds) within the vibrating chamber.

An analysis of the latest publications on this issue shows that in most cases the issues of processing a certain material in specific technological conditions were solved. In this study, an attempt is made to generalize the previous experience for the development of our own mathematical model of the process of vibration drying of pumpkin seeds.

Several types of models of the movement of a granular medium under the action of vibration over the surface of the working bodies were considered. Models of a single particle with added mass were considered, including, taking into account aerodynamic drag, elastic-visco-plastic models of a layer of a granular medium, a model that considers a granular material as a system divided by horizontal planes into an infinite number of elementary layers with the possibility of movement of such layers relative to each other and some others.

Of all the considered models of the grain (seed) layer, the most promising in our opinion is the model of the behavior of a granular medium under the influence of vibration, which is represented as a viscous medium, taking into account the initial shear stress. On the basis of this model, it is possible to simulate all states of a granular medium under the influence of vibration: calmness, regular and unstable motions, studied experimentally, as well as to use the equation of dynamics of motion of a continuous medium, the equation of continuity and the equation of the relationship between stresses and deformations for a viscoplastic medium, which means the use of a well-developed mathematical apparatus of fluid dynamics, which is of great importance for obtaining practical results. 

 

Keywords: mathematical model, pumpkin seeds, vibration action, bulk medium, added mass.

List of references

1. Tsurkan O.V. (2021). Analiz vibratsiinykh tekhnichnykh zasobiv dlia sushinnia nasinnia harbuza. Vibratsii v tekhnitsi ta tekhnolohiiakh. № 4 (103). S. 5-14. [in Ukrainian].

2. Tsurkan O.V., Herasymov O.O., Rymar T.I. ta in. (2014). Hidrodynamika protsesu filtratsiinoho znevodnennia svizheochyshchenoho nasinnia harbuza z vibratsiinoiu aktyvatsiieiu. Vibratsii v tekhnitsi ta tekhnolohiiakh. № 2 (74). S. 138-144. [in Ukrainian].

3. Atamaniuk V.M., Humnytskyi Ya.M. (2013). Naukovi osnovy filtratsiinoho sushinnia dyspersnykh materialiv: monohrafiia. Lviv. 276 s. [in Ukrainian].

4. Yaroshenko L.V. (2020). Obgruntuvannia konstruktyvnykh ta tekhnolohichnykh parametriv vibratsiinoi susharky nasinnia zernovykh ta ovochevykh kultur dlia doslidno-selektsiinykh stantsii. Vibratsii v tekhnitsi ta tekhnolohiiakh. № 1 (96). S. 71-80. [in Ukrainian].

5. Chubyk V.V., Yaroshenko L.V. (2011). Kerovani vibratsiini tekhnolohichni mashyny: monohrafiia. Vinnytsia. 355 s. [in Ukrainian].

6. Anisimov V.F., Yaroshenko L.V., Chubyk R.V. (2010). Metodyka rozrakhunku osnovnykh parametriv debalansnoho pryvodu rezonansnykh vibratsiinykh mashyn. Visnyk Vinnytskoho politekhnichnoho instytutu. № 6 (93). S. 80-86. [in Ukrainian].

7. Tsurkan O.V., Herasymov O.O. (2007). Osnovni tendentsii rozvytku ta zastosuvannia vibratsiinoho obladnannia dlia sushinnia spetsyfichnoi silskohospodarskoi produktsii. Vibratsii v tekhnitsi ta tekhnolohiiakh. №4 (49). S. 86-91. [in Ukrainian].

8. Stepanenko S.P., Kotov B.I. (2020). Matematychne modeliuvannia protsesiv podilu komponentiv zernovoho materialu v kombinovanomu vibratsiino-povitrianomu separatori. Vibratsii v tekhnitsi ta tekhnolohiiakh. № 2 (97). S. 51-60. [in Ukrainian].

9. Lindner G., Förderrinnen. (1912). Die Fördertechnik. Heft 2. 54 p. [in German].

10. Blekhman I.I., Dzhanelidze G.Yu. (1964). Vibracionnoe peremeshchenie. Moskva. 410 s. [in Russian].

11. Raskin Kh.I. (1975). Primenenie metodov fizicheskoj kinetiki k zadacham vibracionnogo vozdejstviya na sypuchie sredy. DAN SSSR. T. 220. № 1. S. 54-57. [in Russian].

12. Fedorenko I.Ya., Pirozhkov D.N. (2006). Vibriruemyj zernistyj sloj v sel'skokhozyajstvennoj tekhnologii: monografiya. Barnaul. 166 s. [in Russian].

13. Kaletnik H.M., Tsurkan O.V. (2019). Statychni umovy sypkoho seredovyshcha pry rozviazanni zadach yoho vibroperemishchennia. Vibratsii v tekhnitsi ta tekhnolohiiakh. № 4 (95). S. 5-15. [in Ukrainian].

14. Zaika P.M. (1998). Vibracionnoe peremeshchenie tverdykh i sypuchikh tel v sel'skokhozyajstvennykh mashinakh. Kiev. 625 s. [in Russian].

15. Spivakovskij A.O., Goncharevich I.F. (1972). Vibracionnye konvejery, pitateli i vspomogatel'nye ustrojstva. Moskva. 328 s. [in Russian].

16. Sliede P.B. (1972). Issledovanie dvizheniya sypuchego materiala pri prodol'nom vibrotransportirovanii. Voprosy dinamiki i prochnosti. Vyp. 22. S. 84-90. [in Russian].

17. Blekhman I.I. (2013). Teoriya vibracionnykh processov i ustrojstv. Vibracionnaya mekhanika i vibracionnaya tekhnika. Sankt-Peterburg. 640 s. [in Russian].

18. Ovchinnikov P.F. (1983). Vibroreologiya. Kiev. 271 s. [in Russian].

 

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About journal

Topics of the 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

Key information:
ISSN (print): 2306-8744
DOI: 10.37128/2306-8744

The certificateof massmediaState 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/

History of journal:

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.