About the authors
| First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address. | Azat R. Adiev, engineer, LLC “Inotech”, Kazan, Russian Federation E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Denis S. Smirnov, candidate of technical sciences, associate professor, Kazan State University of Architecture and Engineering, Kazan, Russian Federation E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it ORCID: 0009-0004-8621-1630. Arina A. Sigova, engineer of Road Testing Research and Production Center, Kazan State University of Architecture and Engineering, Kazan, Russian Federation E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it |
| Title of the article | Mathematical methods for regulating technological modes in the production of reinforced concrete blocks for lining tunnels of the Kazan metro |
| Abstract. | Problem statement. Ensuring the quality of reinforced concrete structures of reinforced concrete lining of tunnels and compliance with all technical specifications is a necessary condition for the safe operation of the subway. Using mathematical methods, it is possible to more accurately regulate technological processes in the production of reinforced concrete structures, thereby increasing the guaranteed provision of the requirements imposed on them. The development of such methods is an urgent task for improving tunnel construction technologies. The aim of the work is to develop and select the optimal mathematical method for regulating the technological modes of production of reinforced concrete tunnel lining blocks to ensure compliance with regulatory requirements and maintain the quality of the production process. Research tasks include the analysis of mathematical control methods to improve the quality and reliability of structures; description and selection of a mathematical model for regulating technological modes; development of a unified model that will help to effectively select parameters to improve the quality and reliability of structures; formation of a database based on monitoring results, comparison of modeling results and assessment of the effectiveness of the developed control methods. Results. Statistical processing of the results of multiple equally accurate measurements of the strength of reinforced concrete subway lining blocks showed that the obtained distribution density coincides with the most well-known mathematical laws, i.e. the statistics are not violated. There are no statistically significant differences between the average strength values obtained as a result of the regression analysis and the strengths from the generated database. Conclusions. The analysis of mathematical methods for regulating technological processes of tunnel lining block production was performed. Based on the analysis, a mathematical model for regulating technological modes was selected. Within the framework of the developed mathematical model, which includes regression analysis and statistical process control, the most optimal values of technological parameters were identified, at which the strength of concrete will have maximum values. Evaluation of the effectiveness of the developed method showed that there are no differences between experimental strength calculations and real values. |
| Keywords. | tunnel lining tubing, mathematical control methods, statistical process control, regression analysis, laws of mathematical distribution |
| For citations: | Adiev A.R., Smirnov D.S., Sigova A.A. Mathematical methods for regulating technological modes in the production of reinforced concrete blocks for lining tunnels of the Kazan metro // News of KSUAE, 2026, № 1 (75), p. 76-88, DOI: 10.48612/NewsKSUAE/75.7, EDN: DZKXAI |
