Olijnyk A. The pipeline's warping process mathmatical modelling based on the configuration changing

The test object is the pipelines and industrial systems configuration changes quasistationary processes. The aim is the design of the mentioned system deformation process mathematical modes based on the information about point's displacements, exploitation conditions and the material properties. The investigation methods are the differential geometry, the data interpolation and approximation, the mathematical physics, the calculus of variations, the imitating modelling, the analytical and numerical methods of algebra. Theoretical results - deformation definition mathematical models for the pipelines, which have the shape of torus, the models to estimate the bodies stress-strained state using the information about displacements based on semi-inverse method using, the models to estimate the pipelines profile deformations using the methods of intratubal inspection data, heat transfer model, the stress-strained state calculation taking to consideration the materials anisotropy; practical results - the methods and tools of one's realization have been designed to the different functions pipelines deformation process modelling, which allows to make the quantitative estimation of the stress-strained state based on the information about the displacements, the intrubal inspection mathematical software has been designed for the first time. The inculcation level - the results have been introduced in PRYCARPATTRANSGAS Company, in H-ROZEN Engineering Company, on the Rivne nuclear power plant, in PLASTMAS Company - to estimate the stress-strained state of the different functions pipelines, in the education process of IFNTUOG. The branch of use - the natural gas and oil industry, nuclear and thermoelectric power station, tue companies, in which the complex systems are exploitated with the space configuration changes.