Use BiArc-curves for contour description of the turbine profiles

В работе рассмотрена возможность использования BiArc-кривых для математического описания турбинных профилей. Приведены элементы теории построения BiArc-кривых. Рассмотрены особенности описания контуров выпуклой и вогнутой частей турбинных профилей с помощью BiArc-кривых. Описан алгоритм автоматического построения контуров турбинных профилей с использованием геометрического критерия качества. Приведены примеры построения турбинных профилей с использованием BiArc-кривых с различными исходными данными.The article analyzes the possibility of using BiArc-curves for the mathematical description of turbine profiles. Confirmed the relevance of the application BiArc-curves in the manufacture of turbine blades. The article presents some of the elements of the theory of building BiArc-curves. The algorithm for determining the coordinates of conjugate points, radii and angles of opening arcs BiArc-curve is shown in the work. Strong influence on the quality of BiArc-curve, provide the coordinates of the point arc connection. Also, the description of certain structural features of convex and concave contours profiles turbines using BiArc-curves. Here the algorithm of automatic construction of a turbine profile using geometric criteria of quality. Optimization problem is solved for each element BiArc-curve using a quadratic fit DSC-Powell. Method of construction of turbine profiles using BiArc-curves programmed in the language c++. Screenshot of dialog boxes and graphics programs can be found in the article. The examples of constructing profiles turbines using BiArc-curves with different initial data. Received confirmation of the possibility to describe the contours of turbine profiles using BiArc-curves