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Information × Registration Number 0218U001197, 0117U005577 , R & D reports Title The development of mathematical methods and a package of applied programs for constructing a three-dimensional mathematical model of the closed surface of the blade of the aircraft engine compressor blade by the results of profiling along the current lines. popup.stage_title Head Lytvyn Oleg Olegovich, Доктор фізико-математичних наук Registration Date 25-01-2018 Organization Ukrainian Engineering-Pedagogic Academy popup.description2 This work is devoted to the construction of operators of interpolation of functions on the system of spatial lines, which from the physical point of view are the lines of current and gas on the corresponding surfaces of blades of compressors and aircraft engines with automatic preservation of isogeometric properties, in particular, with automatic preservation of the desired class of differentiability of the mathematical model of the surface. The basis of the developed method is the construction of operators of ermitian interlinations of functions of two and three variables on a system of noncontinuous spatial lines belonging to the simulated surface. In this case, the construction of such operators is known equation of these spatial lines. In addition, for the construction method O.M. Lytvyn construction of approximation operators with automatic preservation of the class of differentiation. Taking into account that the equations given by the points of spatial lines on the surface are unknown. They are replaced by the corresponding equations with the required class of differentiation, which are constructed using interpolation splines using coordinates (x_i, y_ik, z_ik), where i is the line number, k-number of the point on the given line. As a result, an interpolation operator is obtained which automatically stores the desired differentiation class and interpolates the given point system (x_iq, y_ik, z_ik). In this operator, unknown values of the normal derivatives of the first and second paths on the specified lines of current are unknown. Therefore, they must be used as control parameters. Product Description popup.authors Грицай Ольга Лук'янівна Литвин Олег Миколайович Ткаченко Олександр Володимирович popup.nrat_date 2020-04-02 Close