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Vibrations in engineering and technology

space SCIENTIFIC JOURNALS OF VINNITSA NATIONAL AGRARIAN UNIVERSITY

Issue №: 4 (107)

Published: 2022.12.25
DOI: 10.37128/2306-8744-2022-4


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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MATHEMATICAL MODELING FILLING VOLUME GEOMETRIC STRUCTURES OF BUNKER-TYPE WORKING BODIES MATERIALS OF SPHERICAL FORM

DOI: 10.37128/2306-8744-2022-4-9
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Dubchak Viktor– Ph.D., Associate Professor of the Department of Mathematics, Physics and Computer Technologies of Vinnitsa National Agrarian University (Pirogov St., 111/21, Vinnitsa, Ukraine, 21037, e-mail: viktor_dubchak@rambler.ru).\

Annotation

The study of this work is a continuation of some previous results. The issue of filling certain external geometric objects or structures with a homogeneous set of other objects, in particular, a rounded shape, is an urgent task for solving a number of problematic issues in the field of agro-industrial production, storage and transportation of products of the appropriate geometric shape. The problem of effective maximum filling of containers of various geometries when storing products, bunker storages is always an urgent task not only in agricultural production, but also in the field of mechanical engineering, pharmaceuticals, furniture industry, military logistics, etc.

As a result of research conducted on the modeling of technological processes of filling high-tech working bodies with geometric structures in the form of loose materials of spherical shape, in the research data, unlike the previous results, the emphasis is placed on the use of mathematical models of external three-dimensional geometric structures. For these structures, the introduction of similar to the flat case of fillings, the utility coefficient of such a maximum filling, was proposed and tested. In the case of three-dimensional geometric objects, this indicator is set as the ratio of the maximum possible useful volume to the entire volume of the external geometric structure that is to be filled (in percent). The value of this coefficient for standard three-dimensional geometric bodies or structures is calculated and the corresponding results are given. In this work, as supporting material, relevant drawings, tabular values as an illustration of individual formula results, and brief conclusions of the conducted research are given.

 

Keywords: spherical materials, modeling of technological processes, filling of geometric structures, working body.

List of references

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2. Dubchak, V.M., Pryshliak, V.M. (2021). Modelyuvannya tekhnolohichnykh protsesiv napovnennya heometrychnykh struktur robochykh orhaniv bunkernoho typu silʹsʹkohospodarsʹkykh mashyn materialamy sferychnoyi formy. [Modeling of technological processes of filling the geometric structures of the working bodies of bunker-type agricultural machines with spherical     materials]. Vibration in engineering and technology. 2021. №4 (103). 77-89. [in Ukrainian].

3. Bezugla, Yu.S. (2016). Heometrychne modelyuvannya rozmishchennya neoriyentovanykh ob’yektiv z kusochno-neliniynymy hranytsyamy u bagatozv’yaznykhoblastyakh. [Geometrical design of placing of non-orientable objects from кус by eye-nonlinear borders in multicoherent areas]. Natsional’nyy universytet tsyvil’nogo zakhystu Ukrayiny [National University of Civil Defense of Ukraine]. Kharkiv. [іn Ukrainian].

4. Vanin, V.V. (2014) Komp’yuterne heometrychne modelyuvannya yak isnuyucha osnova avtomatyzovanoho proekuvannya ob’yektiv mashynobuduvannya [Computer geometric modeling as an existing basis for automated design of mechanical engineering objects]. Suchasni problem modelyuvannya [Modern problems of modeling], 2, 22-25, [In Ukrainian].

5. Pylypaka, S.F. (2013)  Konstruyuvannya sferychnykh kryvykh u funktsiyi naturalʹnoho parametra  [Construction of spherical curves as a function of a natural parameter]. Bioresources and nature management. T.5. No. 3-4. 2013.  57-62.

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14. Wozniak, O. M, Shtuts, A. A, Zamriі, M. A. (2021) Rozrobka mikroprotsesornoho kontrolera dlya vymiryuvannya liniynoho peremishchennya rukhomykh orhaniv vykonavchykh mekhanizmiv vibratsiynykh mashyn. [Development of a microprocessor controller for measuring the linear movement of moving bodies of actuators of vibrating machines.]. Vibration in engineering and technology. 2021. №2 (101). 71-84. [in Ukrainian].

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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

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:

 

 

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

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/

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.