The fractal representation of the formation of the surface layer and the self-similarity of the formation of roughness on it during metal cutting are considered. A criterion for assessing the self-similarity of roughness is proposed—the error of self-similarity. The diagnostic parameter of surface-layer quality control in automated production based on fractal dimension DF of vibroacoustic emission signals in real time is substantiated. A neural-network model for controlling the shaping of the surface layer for CNC machines is proposed.
Yu. G. Kabaldin (Wed,) studied this question.