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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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COMPREHENSIVE APPLICATION OF MECHANICAL AND RHEOLOGICAL MODELS FOR DESCRIBING THE BEHAVIOR OF FEED MATERIALS IN MIXING APPARATUSES

DOI: 10.37128/2306-8744-2025-3-3
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Kupchuk Ihor – 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 (3, Sonychna St., Vinnytsia, 21008, Ukraine, e-mail: kupchuk.igor@i.ua; http://orcid.org/0000-0002-2973-6914).

Annotation

The article presents an integrated mechanico-rheological concept for describing the behavior of multicomponent feed materials in mixing apparatuses. The relevance of the study is driven by the fact that feed mixtures contain frictional, cohesive, fibrous, and pasty components, each characterized by specific deformation mechanisms that influence energy consumption and the dynamics of homogenization. Standard models applied separately to each material type do not adequately capture the spatial and temporal heterogeneity of stress–strain states within the working volume of mixers.

The study systematizes the physico-mechanical properties of feed materials and identifies four characteristic rheological states: frictional, cohesive, viscoplastic, and fibrous. For each of these, the applicability of the Mohr–Coulomb, Jenike, Herschel–Bulkley, and Bingham–Shvedov models is substantiated. It is demonstrated that, under the action of the mixing tool, the mixture develops local zones with different shear rates, consolidation levels, and structural stability, which determine the mosaic nature of the material’s rheological response.

Special attention is devoted to the energetic aspects of mixing. Relationships between shear stress, deformation rate, specific power dissipation, and the integral mixing energy required to achieve homogenization are established. The highest energy losses occur in cohesive and viscoplastic zones, where structural failure and intensive dissipation take place. Based on generalized effective rheological parameters, an approach for the quantitative assessment of mixing energy efficiency is formulated.

A formalized algorithm for the comprehensive application of mechanico-rheological models is proposed, incorporating parameter identification, kinematic modeling, calculation of local dissipation, and energetic integration. The algorithm enables prediction of the behavior of feed mixtures and selection of rational mixing regimes for various types of mixing equipment.

 

Keywords: rheological regimes, yield criteria, energy metrics of mixing, specific dissipation power; local stresses, kinematic shear conditions, lgorithmic modeling.

List of references

1. Schulze, D. (2021). Powders and bulk solids: Behavior, characterization, storage and flow. Springer. https://doi.org/10.1007/978-3-030-76720-4

2. Al-Hashemi, H. M. B., Al-Amri, S. S. (2018). A review on the angle of repose of granular materials. Powder Technology, 330, 397–417. https://doi.org/10.1016/j.powtec.2018.02.003

3. Kamkeng, L., Marchal, P., Bertrandias, A. (2023). Rheological characteristics of an anaerobically digested rye and maize silage mixture. Chemical Engineering Research and Design, 196, 309–318. https://doi.org/10.1016/j.cherd.2023.06.045

4. Kingsly, A. R. P., Ileleji, K. E., Stroshine, R. L. (2013). Stress relaxation behavior of DDGS in relation to caking. Powder Technology, 235, 866–872. https://doi.org/10.1016/j.powtec.2012.10.018

5. Bonn, D., Denn, M. M., Berthier, L., Divoux, T., Manneville, S. (2017). Yield stress materials in soft condensed matter. Reviews of Modern Physics, 89, 035005. https://doi.org/10.1103/RevModPhys.89.035005

6. Khan, M., More, R. V., Brandt, L., Ardekani, A. M. (2023). Rheology of dense fiber suspensions. Physical Review Fluids, 8, 064306. https://doi.org/10.1103/PhysRevFluids.8.064306

7. Steffe, J. F. (2019). Rheological methods in food process engineering (3rd ed.). Freeman Press.

8. Toğrul, H., Arslan, N. (2004). Mathematical model for prediction of apparent viscosity of molasses solutions. Journal of Food Engineering, 62(3), 281–289. https://doi.org/10.1016/S0260-8774(03)00241-3

9. Cares-Pacheco, M. G., Falk, V. (2023). A phenomenological law for complex granular materials from Mohr-Coulomb theory. Advanced Powder Technology, 34(1), 103888. https://doi.org/10.1016/j.apt.2022.103888

10. Macri, D., Chirone, R., Salehi, H., et al. (2020). Characterization of the bulk flow properties of industrial powders from shear tests. Processes, 8(5), 540. https://doi.org/10.3390/pr8050540

11. Jenike, A. W. (1964). Storage and flow of solids (Bulletin No. 123). University of Utah.

12. Chhabra, R. P., Richardson, J. F. (2008). Non-Newtonian flow and applied rheology: Engineering applications (2nd ed.). Butterworth-Heinemann. https://doi.org/10.1016/B978-0-7506-8532-0.X0001-7

13. Coussot, P. (2006). Rheometry of pastes, suspensions and granular materials: Applications in industry and environment. Springer. https://doi.org/10.1007/S00397-006-0118-Y

 

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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.