Study of Turbine Engine Component Characterization Method

This paper proposes a method to process the characteristic diagram of engine rotating parts, using the polynomial fitting principle of least squares method based on coordinate transformation to process the smoothness of the original test data and supplement the sparse area; the exponential extrapolation method based on the similarity principle is used to extend to obtain the low speed characteristics of rotating parts; in the process of interpolation of the characteristic diagram, the proposed $\beta$-line interpolation method, which can effectively solve the problem that the traditional linear interpolation method is not applicable to the horizontal and vertical line segments and non-monotonic curve positions of the characteristic diagram. The least squares polynomial fitting curve is compared with the fitting results obtained by SmoothC software, and the results show that the least squares algorithm fits the component characteristic curve with high accuracy and the method is feasible.