METHOD OF GROUP ANALYSIS OF DIFFERENTIAL EQUATIONS FOR FORECASTING TEMPERATURE RANGES OF CONCRETE CONSTRUCTIONS
With the development of technology, the emergence of new methods of concreting, the use of various chemical additives, the production of concrete works began to be year-round. The construction industry does not stand still, constantly evolving. To this day, a search is underway for methods that provide the most rational concreting. This will increase the pace of construction without loss of quality. This article will be of interest to construction practitioners. The central task in the field of construction was the prediction of temperature conditions of concrete structures. Many scientists and researchers have proposed various calculation methods that demonstrate the dependence of strength on time and temperature. But each method had certain disadvantages, which entailed additional and unreasonable expenses. The aim of this research work is to obtain calculation formulas that describe the temperature regime in concreted structures using nonlinear submodels obtained by group analysis of differential equations. The main criteria that the equations must meet are simplicity and convenience for practical use in a building site. The article considers two nonlinear submodels showing the distribution of heat during concrete pouring using external heat sources, provides experimental data on concreting a fragment of a concrete column under different modes of heat supply, and compares the practical results with theoretical data. Based on the data obtained, the following was revealed: 1. Nonlinear submodels correlate well with practical results; 2. The most accurate description was obtained for the case of low and medium power; 3. The efficiency of using submodels found by the methods of group analysis of differential equations is proved.