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 mm 2 from 2.55 to 2.68, and at the area of 1×1 mm 2 – 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.
Highlights
Providing the assigned level of roughness of the surfaces of parts at machining is an important direction of machine engineering
Among the theoretical directions in the studies of the surface microrelief state, of special interest are the series of articles that deal with the application of sufficiently new, nontrivial mathematical methods for analysis of the surface relief state [1,2,3,4,5,6,7]
Among possible geometric parameters of spatial shapes, which form at the surface of a plate, we chose a surface area, since finding it matches the purpose in the prediction of many parameters of technological process
Summary
Providing the assigned level of roughness of the surfaces of parts at machining is an important direction of machine engineering. Among the theoretical directions in the studies of the surface microrelief state, of special interest are the series of articles that deal with the application of sufficiently new, nontrivial mathematical methods for analysis of the surface relief state [1,2,3,4,5,6,7] They include papers on the application of fractal representations to the description of the self-similar states, which are formed either naturally, for example, due to the reflection by the surface of crystallographic properties of the volume of material of the base layer [8, 9], or due to the periodic action on the surface of machnining tool [10, 11]. That is why present work should be considered as further development and practical application of approaches and results [1,2,3,4,5,6,7]
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