Development of the Scientific Foundations of the Formation of the Surface Layer of Workpieces during Cutting Based on Nonlinear Dynamics, Fractal Analysis, and Neural Network Modeling

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.