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Vibrations in engineering and technology

space SCIENTIFIC JOURNALS OF VINNITSA NATIONAL AGRARIAN UNIVERSITY

Issue №: 3(118)

Published: 2025.12.25
DOI: 10.37128/2306-8744-2025-3


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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DEFORMATION OF VISCOELASTIC SYSTEMS IN FOOD TECHNOLOGIES

DOI: 10.37128/2306-8744-2025-3-13
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Goots Viktor – Doctor of Technical Sciences, Professor of the Department of Bioengineering, Bio- and Food Technologies, Faculty of Production, Processing and Robotics in Animal Husbandry, Vinnytsia National Agrarian University (8 Yunosti Avenue, Vinnytsia, 21008, Ukraine, 21021, e-mail: Goots@ukr.net, orcid: http://orcid.org/0000-0003-3874-5609).

Polievoda Yurii – Candidate of Technical Sciences, Associate Professor, Associate Professor of the Department of Bioengineering, Bio- and Food Technologies Faculty of Production Technology, Processing and Robotics in Animal Husbandry of the Vinnytsia National Agrarian University (Sonyachna St., 3, Vinnytsia, 21008, Ukraine, e-mail: vinyura36@gmail.com, https://orcid.org/0000-0002-2485-0611).

Symonik Bohdan – recipient of a Doctor of Philosophy degree in specialty 181 Food Technologies of the Vinnytsia National Agrarian University.

 

Annotation

The article examines the deformation processes of viscoelastic systems, which are widely used in food technologies as part of transport-technological and packaging equipment. The working components of such systems (stops, guides, stoppers, springs, dampers, friction units, etc.) change their shape and dimensions under external loads, affecting the efficiency of the equipment and energy consumption. Methodological approaches are proposed for calculating the work and energy characteristics of elastic and viscoelastic elements, taking into account their structural and rheological properties.

Based on the equations of rheodynamics, the work of elastic forces during compression and tension is analyzed, showing that the work depends on the square of the elongation and is independent of the trajectory or duration of the process. To account for the time-dependent characteristics of deformation, a viscous element – a damper – is introduced into the mechanical models, allowing the description of gradual spring deformation under constant or variable loads. Differential equations for parallel and series connections of elastic and viscous elements are considered, and their solutions and expressions for calculating work, deformation rate, power, and energy expenditure are obtained.

Particular attention is given to cases where the deformation forces vary according to a linear or nonlinear law, including exponential, which corresponds to real conditions in packaging processes. Graphical dependencies are presented, illustrating the nature of deformation under different types of loads. The obtained relationships can be used to optimize the energy parameters of technological equipment, improve the reliability and durability of its working components, and enhance the designs of transport-technological and packaging lines.

 

Keywords: viscoelastic systems; rheology; deformation; spring; damper; differential equations; energy characteristics; deformation work; power; packaging equipment; transport-technological lines; nonlinear load laws.

List of references

1. Levit, I. B., Sukmanov, V.O., Afenchenko, D. S. 2015. Rheology of food products. Poltava: PUET. 540 p. [in Ukrainian].

2. Levit, I. B., Sukmanov, V. O., Afenchenko, D. S. 2014. Rheology of food products. Donetsk: DonNUET. 559 p. [in Ukrainian].

3. Daubert, C. R., Foegeding, E. A. 2003. Rheological principles for food analysis. New York: Kluwer Academic/Plenum Publishers. In S. S. Nielsen (Ed.), Food analysis (3), pp. 507–508. [in English].

4. Cherevko, O. I., Mykhailov, V. M., Maiak, V. I., Maiak, O. A. (2012). Reolohiya u protsesakh vyrobnytstva kharchovykh produktiv. Kharkiv: KhDUFT. 180 p. [in Ukrainian].

5. Hencheva, V. I., Lashko, N. P., Brazhko O. A. 2019. The rheology of food grade products. Zaporizhzhya: Zaporizhzhya National University. 74 p. [in Ukrainian].

6. Guts, V. S., Polievoda, Y. A., Koval, O. A. 2011. Determination of structural and mechanical characteristics of viscosities dispersed systems. Packaging. N 1. pp. 46–47. [in Ukrainian].

7. Guts, V. S., Polyevoda, Yu. A., Tkachuk, I. V., Koval, O. A. 2024. Modeling of the meat salting process in horizontal drums. Vibrations in engineering and technology. N 1 (112). P. 72–80. [in Ukrainian].

8. Goots, V., Solona, O., Polievoda, Y., Symonik, B. (2025). Reolohiya u standardyzovanykh protsesakh formuvannya kharchovykh produktiv. Vibrations in engineering and technology. № 1 (116), P. 112–119. [in English].

9. Huts, V. S. (1999). Prykladna reolohiya ta intensyfikatsiya protsesiv kharchovykh vyrobnytstv: Avtoref. dys… d-ra tekhn. nauk: 05.18.12. UDUKhT. K., 36 p. [in Ukrainian].

 

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About the journal

Topics of the journal:

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

The journal is devoted to highlighting current issues in engineering, mechanical engineering, and technological processes, including the study of dynamic and oscillatory phenomena in technical systems, the application of mathematical methods for process modeling and analysis, as well as the presentation of results of design-engineering and technological developments. Particular attention is given to the study of vibration processes and their application in modern technologies.

The purpose of the scientific journal “Vibrations in Engineering and Technologies” is to disseminate the results of fundamental and applied research in the field of engineering sciences aimed at developing theoretical foundations and practical approaches to the design, analysis, and improvement of machines, materials, and technological processes, including the use of vibration and oscillatory effects in various sectors of production.

The publication is focused on the formation of a modern scientific and informational environment for the effective exchange of research results, support of innovative development, and implementation of advanced technical solutions in industry, agro-industrial production, and related fields.

The journal promotes the development of interdisciplinary research, the integration of modern engineering approaches, and the enhancement of the efficiency of technological processes and technical systems, including through the rational use of vibration phenomena.

Objectives of the Scientific Journal

To achieve its stated purpose, the journal addresses the following key objectives:

dissemination of results of fundamental and applied scientific research in the fields of mechanics, mechanical engineering, technological processes, machine dynamics, and equipment, as well as in areas related to the application of vibration phenomena in engineering and technologies;

promotion of research aimed at the creation and improvement of machines, mechanisms, and technological equipment based on oscillatory and vibration processes;

support for the implementation of modern technological solutions focused on improving productivity, energy efficiency, and reliability of technical systems;

обеспечение scientific exchange of research results among research institutions, higher education establishments, and industrial enterprises;

development of interdisciplinary cooperation among researchers in the fields of mechanics, materials science, material processing technologies, and automation of technological processes;

dissemination of modern scientific achievements and advanced technologies related to the application of vibration processes in production and technical systems.

Publisher Vinnytsia National Agrarian University

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  119 issues wherestudy of vibration effects, the creation of progressive energy saving technologies and equipment for their implementation were highlighted.
Currently Ihor Kupchuk, Candidate of Technical Sciences, Associate professor, Associate Professor of the Department of Engineering Mechanics and Technological Processes in the Agricultural Industry Faculty of Engineering and Technology Vinnytsia National Agrarian University 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.