Synthesis of Markov chain theory and digital twins of vibrating screens for controlling the fractional composition of bulk building materials

Valerii Ogurcov; Aleksandra Shenbereva; Vadim Lubiagin; Dmitry Ivchenko; Mikhail Makarov

doi:10.52957/2782-1919-2026-7-3-19-32

UDC 621.928.235

SYNTHESIS OF MARKOV CHAIN THEORY AND DIGITAL TWINS OF VIBRATING SCREENS FOR CONTROLLING THE FRACTIONAL COMPOSITION OF BULK BUILDING MATERIALS Synthesis of Markov chain theory and digital twins of vibrating screens for controlling the fractional composition of bulk building materials

АА Аа

Published in Smart composite in construction · Volume 7, Issue 3, 2026 · Pages 19–32 · Rubric: Construction materials and products

DOI: https://doi.org/10.52957/2782-1919-2026-7-3-19-32

Received: 23.06.2026 Accepted: 25.08.2026 Published: 23.09.2026

Authors

Valerii Ogurcov

Aleksandra Shenbereva

Vadim Lubiagin

Dmitry Ivchenko

et al.

Mikhail Makarov

Valerii Ogurcov

Ivanovo State Polytechnic University professor · kafedra stroitel'stva i inzhenernyh sistem · Ivanovo

Aleksandra Shenbereva

Ivanovo State Polytechnic University Russian Federation · Ivanovo

Vadim Lubiagin

Ivanovo State Polytechnic University Russian Federation · Ivanovo

Dmitry Ivchenko

Ivanovo State Polytechnic University Russian Federation · Ivanovo

Mikhail Makarov

Ivanovo State Polytechnic University Russian Federation · Ivanovo

ABSTRACT

The development of effective methods for controlling the fractional composition of bulk building materials is a critical challenge, upon which the strength and durability of concrete and other building composites depend. This paper proposes a hybrid methodology combining two approaches: digital simulation of material transport across the vibrating screen based on the discrete element method (first digital twin) and stochastic description of the separation process using Markov chains (second digital twin). The first twin determines macroparameters: the velocity of material movement across the screen, residence time, and layer height. The second twin, built on a probabilistic approach, describes the particle distribution across the height of the vibro-fluidized layer, diffusion, segregation, and screening kinetics. The combined use of the twins makes it possible to compensate for the shortcomings of each approach individually: DEM modeling provides a physically accurate picture of bulk material transport across the screen; Markov chains provide a fast prediction but require calibration. As a result of the synthesis, a tool suitable for use in process control systems is created. It is shown that the proposed hybrid model makes it possible to predict the particle size distribution of screening products with high accuracy, replacing expensive and labor-intensive full-scale experiments on industrial and laboratory equipment. The assumptions adopted in this work (spherical particle shape and a two-fraction mixture composition) do not reduce the value of the methodological approach, since a recalibration procedure is provided for real materials, and the extension to polydisperse systems does not change the structure of the Markov chains.

KEYWORDS

bulk building materials, vibrating screen, fractionation, digital twin, Markov chains, discrete element method, separation

Text

Text (RU) (PDF)

Read Download

1. Fedosov, S.V. (2010), Heat and Mass Transfer in Technological Processes of the Construction Industry: monograph. IPK "PresSto", Ivanovo, 364 p. (in Russian).

2. Fedosov, S.V. and Mizonov, V.E. (2004), Theoretical Foundations of Mathematical Modeling of Mechanical and Thermal Processes in the Production of Building Materials: monograph. Palmarium Academic Publishing, 256 p. (in Russian).

3. Mizonov, V.E. (2004), Equipment for Classification of Bulk Materials, Mechanical Engineering. Encyclopedia. Machines and Apparatus for Chemical and Petrochemical Industries, vol. IV-12; ed. by M.B. Generalov. Moscow, Mashinostroenie, pp. 160-179 (in Russian).

4. Meinel, A. (2008), History of screening technology: screen sizing and separation from the 20th Century BC to the early 20th Century AD, AufbereitungsTechnik/Mineral Processing, no. 3, pp. 6-27.

5. Vaisberg, L.A., Kartavy, A.N. and Korovnikov, A.N. (2005), Screening Surfaces of Vibrating Screens. Designs, Materials, Application Experience; ed. by L.A. Vaisberg. St. Petersburg: VSEGEI Publishing House, 252 p. (in Russian).

6. Ferrara, G. (1988), Modelling of screening operations, International Journal of Mineral Processing, vol. 22, no. 1, pp. 193-222.

7. Blekhman, I.I., Blekhman, L.I. and Vaisberg, L.A. (2016), On the Phenomenon of Vibrational Diffusion Segregation in Granular Media, Doklady Akademii Nauk / Reports of the Academy of Sciences, vol. 466, no. 1, pp. 30-32 (in Russian).

8. Oparina, L.A. and Ogurtsov, V.A. (2023), Accounting for the Energy Intensity of Building Materials during the Life Cycle of Capital Construction Projects, Smart Composite in Construction, vol. 4, iss. 4, pp. 50-60 (in Russian). URL: http://comincon.ru/index.php/tor/issue/view/v4n4_2023 (accessed: 29.06.2026).

9. Mitrofanov, A.V., Sizova, O.V., Shpeinova, N.S., Zhemchugov, A.A. and Mikhailova, S.M. (2021), Stability Study of the Difference Scheme of the Markov Chain Method for Modeling Fluidization, Bulletin of Ivanovo State Power Engineering University, no. 4, pp. 65-74 (in Russian). DOI:https://doi.org/10.17588/2072-2672.2021.4.065-074.

10. Mitrofanov, A., Mizonov, V., Camelo, A. and Tannous, K. (2019), Application of the theory of Markov chains to theoretical study of processes in a circulating fluidized bed, Particulate Science and Technology, vol. 37, no. 8, pp. 1028-1033. DOI:https://doi.org/10.17654/HM01802026.

11. Mitrofanov, A.V., Mizonov, V.E., Beliakov, A.N and Shpeynova, N.S. (2020), Development of a Probabilistic-Statistical Model of Expansion and Axial Structure of a Fluidized Bed of Anthracite Particles, Bulletin of Ivanovo State Power Engineering University, no. 6, pp. 68-76 (in Russian). DOI:https://doi.org/10.17588/2072-2672.2020.6.068-076.

12. Zhu, C., Long, H. and Peng, Z. et al. (2026), Research on the optimization efficiency of secondary vibrating screening based on EDEM simulation, Scientific Reports, vol. 16, Art. 6746. DOI:https://doi.org/10.1038/s41598-026-37230-6.

13. Karavaev, A.S., Kopysov, S.P and Sarmakeeva, A.S. (2015), Modeling of Dynamics of Arbitrary Bodies by the Discrete Element Method, Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, vol. 25, no. 4, pp. 473-482 (in Russian).

14. Ogurtsov, V.A., Shenbereva, A.V. and Khokhova, Iu.V. (2026), Digital Modeling of the Periodic Fractionation Process of Bulk Construction Materials in a Vibrated Fluidized Bed, Bulletin of Volga State Technological University. Ser.: Materials. Structures. Technologies, no. 1 (37), pp. 72-82 (in Russian). DOI:https://doi.org/10.25686/2542-114X.2026.1.72.

15. Ogurtsov, V.A., Oparina, L.A., Ogurtsov, A.V., Tanichev, M.V. and Pirogov, D.A. (2025), Digital Modeling of Bulk Material Motion during Screening on a Vibrating Woven Metal Mesh, Izv, Vyssh. Ucheb. Zaved. Tech. Textil. Prom., no. 3, pp. 256-261 (in Russian). DOI:https://doi.org/10.47367/0021-3497_2025_3_256.

PDF JATS XML

Editor-in-Chief

Sergey Fedosov

fedosov-academic53@mail.ru

Deputy Editor-in-Chief

Pavel Razgovorov

razgovorovpb@ystu.ru

Executive Secretary

Il'ya Voronov

voronovia@ystu.ru

downloads

GOST

Ogurcov V. A., Shenbereva A. V., Lubiagin V. S., Ivchenko D. I., Makarov M. V. Synthesis of Markov chain theory and digital twins of vibrating screens for controlling the fractional composition of bulk building materials // Smart composite in construction. 2026. no. 3. pp. 19-32. DOI: https://doi.org/10.52957/2782-1919-2026-7-3-19-32. (Date of access 05.10.2026).

MLA

Valerii Ogurcov, Shenbereva A. V., Lubiagin V. S., Ivchenko D. I., Makarov M. V.. "Synthesis of Markov chain theory and digital twins of vibrating screens for controlling the fractional composition of bulk building materials." Smart composite in construction 7.3 (2026): 19-32. DOI: https://doi.org/10.52957/2782-1919-2026-7-3-19-32.

APA

Ogurcov V. A., Shenbereva A. V., Lubiagin V. S., Ivchenko D. I., Makarov M. V. (2026). Synthesis of Markov chain theory and digital twins of vibrating screens for controlling the fractional composition of bulk building materials. Smart composite in construction, 7(3), 19-32. https://doi.org/10.52957/2782-1919-2026-7-3-19-32

Chicago

Valerii Ogurcov, Shenbereva A. V., Lubiagin V. S., Ivchenko D. I., Makarov M. V.. "Synthesis of Markov chain theory and digital twins of vibrating screens for controlling the fractional composition of bulk building materials." Smart composite in construction 7, no. 3 (2026): 19-32. https://doi.org/10.52957/2782-1919-2026-7-3-19-32.

WIKI

{{cite journal | author = Ogurcov V. A., Shenbereva A. V., Lubiagin V. S., Ivchenko D. I., Makarov M. V. | title = Synthesis of Markov chain theory and digital twins of vibrating screens for controlling the fractional composition of bulk building materials | journal = Smart composite in construction | year = 2026 | volume = 7 | issue = 3 | pages = 19-32 | doi = 10.52957/2782-1919-2026-7-3-19-32 }}

Copy

Export: BibTeX EndNote RefMan RusMARC

SYNTHESIS OF MARKOV CHAIN THEORY AND DIGITAL TWINS OF VIBRATING SCREENS FOR CONTROLLING THE FRACTIONAL COMPOSITION OF BULK BUILDING MATERIALS Synthesis of Markov chain theory and digital twins of vibrating screens for controlling the fractional composition of bulk building materials

Confirmation