The Productivity of Technological Operation

The productivity of technological operation, accuracy, and surface finish depend on the patterns of tool wear and the state of its working surface. It was established that the prediction of the wear of tool is only possible based on modeling the regularities of work of single abrasive grains. The wear of abrasive grains tips as well as a tool, occurs in the contact zone arising when approaching the tool and the workpiece and is determined by the relative wear and length of the path of cutting. The length of the cutting path is not equal to the length of the path of movement of grain in a contact zone. The length of the cutting is calculated taking into account the probability of contact of the top of the abrasive grains with the material being processed at any point of contact area, which determines the probability that the material at the point is not removed. The analysis of the sequence of contacts of the tool surface with a workpiece surface allowed obtaining a differential equation that links the wear tool with the wear of single abrasive grains. The proposed probabilistic approach provides an opportunity to estimate the current state of the working surface of the tool, as well as analyze the impact of certain parameters on the processing on the rate of wear.