Abstract:

A method of fractal analysis is applied to describe the relief surface area, which is formed at face milling of plates at different values of the workpiece feed. Microphotographs of the samples’ surface served as input data for calculating the fractal parameters of the microrelief surface area. Here we discuss the most favorable conditions for obtaining photographic images of the samples. The implementation of the method of fractal analysis was achieved in accordance with the rough partition method by the standard procedure. Data on the relief surface area of real samples, which composed the base set of measure for the fractal analysis, were calculated by the interpolation method based on data on the chromaticity of different pixels in a photograph. We obtained dependences between the magnitudes of fractal parameters for the surface area at the rate of feed for the workpieces made of steel 35 and alloy D16T. It is demonstrated that an increase in the feed from 50 mm/min to 400 mm/min leads to an increase in the values of Hausdorff dimensions for surface relief area of the articles at the area of its analyzed surface of 5×5 mm2 from 2.55 to 2.68, and at the area of 1×1 mm2 – from 2.43 to 2.51.A proposal is put forward on the possibility of using fractal characteristics to quantitatively describe the surface microrelief of samples after face milling. Author Biographies Pavel Moskvin, Zhytomyr State Technological University Cherniakhovskoho str., 103, Zhytomyr, Ukraine, 10005 Doctor of Physical and Mathematical Sciences, ProfessorDepartment of physics and higher mathematics

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