Ustenko S. The geometric theory of modelling curved shapes turbomachinery blading with optimization of their parameters

Thesis for a doctor's degree in engineering sciences. Specialty: 05.01.01 - Applied geometry, engineering graphics. - Kyiv National University of Building and Architecture, Kiev, 2013. The dissertation is devoted to the development of geometric theory and the corresponding geometric modelling tools curves and surfaces through the management of their local characteristics, and on their basis - the methods of modelling the geometric contours, surfaces, solid models of the blading of axial and radial turbomachinery constructively arranged, as well as a method of optimization of geometrical parameters of turbomachinery on the basis calculations of viscous flow of the working medium. Approaches to the geometric modelling of curves, algorithms and developed on the basis of their software, can simulate flat and space curves and surfaces by controlling their local characteristics. Due to the fact that the resulting curves and surfaces ensures the continuity of the curvature and torsion, they are used for modelling the geometric contours and surfaces blading axial and of the radial turbines and compressors, as well as building a model of the computational domain for solving the optimization problem of geometrical parameters of flat profiles cross sections and three-dimensional axial turbine blades. The results of the dissertation research put into practice of designing GTE and in the learning process. Keywords: geometric theory of modelling, curved shape, the geometric model, the local characteristics, curvature, torsion, distribution graph, blading, turbomachine, axial and centripetal turbine, the compressor.