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Mathematical model of the flow distribution process in building engineering systems

https://doi.org/10.22227/1997-0935.2025.9.1373-1385

Abstract

Introduction. In the context of modern construction, where the requirements for energy efficiency and sustainability are growing every year, the need for an integrated approach to modelling the subjects of engineering systems is becoming especially relevant.

Materials and methods. To develop a mathematical model of the life cycle of building engineering systems, a method for compiling a closed directed graph was used. Mathematical and graphical processing of the obtained results was carried out.

Results. An approach to modelling the processes of degradation and restoration of engineering systems is presented, taking into account the dependence on time and the current state to reduce the costs of routine and scheduled repairs. The relationship of each engineering system as a full-fledged complex is established. Problems affecting the operability of building engineering systems are identified. In order to model the dynamics of system performance change, a coefficient considering instantaneous deterioration and gradual deterioration Сloss is proposed. A practical forecast of the research results for the life cycle of a complex of engineering systems of a capital construction project is presented.

Conclusions. The obtained results can be used to design building engineering systems and assess their functionality throughout the entire life cycle of the building. A mathematical model of flow distribution in the engineering systems of the building was developed. A unique coefficient is proposed that takes into account the probability of occurrence of various types of negative impacts. In the future, the proposed system will allow to abandon the calculation of annual expected losses caused by hazards and instead focus on assessing the combined impact of several hazards in the context of the life cycle of engineering systems.

About the Author

N. Yu. Savvin
Belgorod State Technological University named after V.G. Shukhov (BSTU named after V.G. Shukhov)
Russian Federation

Nikita Yu. Savvin — Candidate of Technical Sciences, Associate Professor of the Department of Heat and Gas Supply and Ventilation

46 Kostyukova st., Belgorod, 308012

RSCI AuthorID: 1108836, Scopus: 57219992792, ResearcherID: AAR-3129-2021 



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For citations:


Savvin N.Yu. Mathematical model of the flow distribution process in building engineering systems. Vestnik MGSU. 2025;20(9):1373-1385. (In Russ.) https://doi.org/10.22227/1997-0935.2025.9.1373-1385

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ISSN 1997-0935 (Print)
ISSN 2304-6600 (Online)