ALGORITHM FOR CORRECTION OF ANOMAL POINT IN THE METHOD OF VARIOUS FORMATION OF DIFFERENT SCHEMES OF ANGULAR PARAMETERS

Abstract

An important area of scientific and technological development of the country is the development of new technologies that enhance the competitiveness of industrial and agricultural production. Using geometric modeling, it is possible to solve many scientific and industrial problems, for example, designing functional surfaces, the aerodynamic qualities of which are subject to increased requirements (automobile body, turbine blades, channel of the surface of internal combustion engines). One of the methods of geometric modeling is interpolation. Among the well-known methods of discrete interpolation, a separate direction should be distinguished - variative discrete geometric modeling (VDGM), where variability of the solution can be achieved by using difference schemes obtained by superimposing certain relations between adjacency angles and their variation in the system of equations of a new variable condensation scheme based on angular parameters. The method of variable formation of difference schemes of angular parameters allows one to solve these problems, however, as practice shows, when analyzing the initial data, for example, sections of the blade profiles, sometimes there are points that clearly fall out from the smooth contours of the back or trough of the compressor blade. It is impossible to determine these points using the drawing-graphic documentation. These points are determined either as a result of the analysis of the profiles of the blades (when calculating from the differential geometric characteristics), or as a result of an increase in the geometric model of the cross sections of the blades on the computer. In order that the control program does not lead to undesirable results in the process of manufacturing compressor blades on high-speed technological equipment, it is necessary to analyze the initial data for the presence of points that clearly fall out from the smooth contours of the back and trough profile. If there are any, it is necessary to carry out their correction, and not to allow the processing of blades with such flaws. All these questions determined the relevance of research.

Keywords: geometric modeling, interpolation, variative discrete geometric modeling method, anomal point, algorithm, correction.