Development of Polynomial Equations for Output Indicators of Turning

The article considers a technique for approximating significant initial data by polynomial equations for the output indicators of turning with prefabricated cutters.
Input variables — speed and depth of cut, feed, tool wear and lead angle — are included in the equation in a coded form. The output indicators include the tool wear rate, the force components and the cutting temperature. The initial data were obtained by calculation based on the analysis of the general tool wear model and contain more than 28,000 values for each indicator. The developed polynomial equations are designed for calculating or optimizing the operating parameters of turning extended surfaces with a complex profile. The algorithms used and similar polynomial differential equations are recommended for approximating the initial data for various types of mechanical processing.

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