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Registration Number

0224U031518, 0121U100459 , R & D reports

Title

To develop non-smooth optimization methods for constructing curves in natural parametrization

Head

Stetsiuk Petro I., Доктор фізико-математичних наук

Registration Date

07-05-2024

Organization

V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine

Description

 Mathematical models, methods and software for constructing plane curves in natural parametrization for cases where the curvature is given by linear, quadratic and cubic functions have been created. On the basis of the r-algorithm with an adaptive method of adjusting the step, non-smooth optimization methods and algorithms have been developed for the construction of curvilinear contours and profiles of the required degree of smoothness using natural parametrization and curve graphs. A system of nonlinear integral equations is formulated for the problems of constructing fragments of the blade feather profile. A 7-parameter model was developed for building the profile of the back of the scapula. The proposed models, methods, algorithms and software can be used for profiling of aircraft engine turbine blades and other technical profiles.

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Ivlichev Andrii V.
Zhydkov Volodymyr O.
Suprun Anton Andriyovych
Khomiak Olha M.