Multifractal parameterization of a periodic surface microrelief formed at the face milling. 2. Distribution of elements volume of surface relief

Abstract

AbstractThis study represents the first application of multifractal analysis to characterize spatial microforms’ volumes resulting from face milling on flat surfaces, emphasizing its novelty. Photographs of samples of C35 steel and AA22024 aluminum alloy, subjected to various cutting conditions during milling, were utilized to apply the multifractal approach for describing the machined surface microrelief. Multifractal spectra and their key parameters were computed for the samples’ surfaces generated at various feed rates and cutting depths. It is demonstrated that the characteristic functions of the performed multifractal analysis align with their canonical forms. The results offer compelling evidence that machining results in the formation of a system exhibiting self-similarity and fractal symmetry properties on the specimen’s surface. The practical significance of this research lies in the establishment of quantitative dependences between the parameters of the multifractal spectrum of surface microforms generated during the face milling under varying cutting depths and feed rates. This facilitates the identification of technological and physical factors responsible for observed variations in surface fractal properties. The formation of the multifractal spectra from surface element volumes is discussed in connection with the underlying physical phenomena associated with cutting conditions.