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. | Smirnov Denis Sergeevich candidate of technical sciences, associate professor E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Garaev Timur Raisovich assistant E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan State University of Architecture and Engineering The organization address: 420043, Russia, Kazan, Zelenaya st., 1 Sungatullin Tagir Zaynulovich general director E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it LLC «RBR16» The organization address: 423820, Russia, Naberezhnye Chelny, Magistralnaya st., 12 Lobanova Angelina Sergeevna laboratory assistant E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it JSC «KVART» The organization address: 420054, Russia, Kazan, Tehnicheskaya st., 25 |
Title of the article | Development of a mathematical model for optimizing the composition of concrete |
Abstract. | Problem statement. The purpose of the study is to identify the optimal grain composition and to conduct an experimental test of the mathematical apparatus for predicting optimal grain compositions. Results. The main results of the study are the selection of technological parameters and target functions. Seven compositions with the best indicators were identified and used to determine the change in the compressive strength of concrete for different cement consumption. Also, the influence of cement and its consumption on the composition structure was evaluated. Based on the formed experimental data, it was determined that the mechanism for setting the specific weight of values at the surrounding points was inversely proportional to the distances from the surrounding points to the desired point, at which the functions were predicted. The proposed forecasting mechanism is implemented in the Mathcad environment. Conclusions. The results are significant for the construction industry because of the development of the mathematical apparatus for forecasting and selecting the composition of concrete with the peculiarities of the grain structure of large and small fillers and their mixtures for different regions through proper selection of the ratio between large and small filler, which gives the best structure of the mixture, providing the best mechanical characteristics. |
Keywords. | grain composition, forecasting apparatus, ultimate strength, coefficient of determination, optimization. |
For citations: | Smirnov D.S., Garaev T.R., Sungatullin T.Z., Lobanova A.S. Development of a mathematical model for optimizing the composition of concrete // Izvestiya KGASU. 2020. №4(54) P.72-79. |