Estimation of the probability of failure during operation of a prefabricated cutting tool with replaceable polyhedral plates by nonparametric statistics methods

Abstract

The article discusses the issues of durability of a prefabricated cutting tool in the process of metal cutting, as well as the risk of loss of its operability. In the course of assessing the probability of tool failure in violation of the established wear criterion, the results of a production experiment are used when roughing the Shaft part made of a rod with a diameter of ø 58 mm made of HN77TYUR alloy. The processing of the part is carried out with a prefabricated cutting tool with replaceable polyhedral plates of round and square shape, having a special type of alloys: VK6m, VK8 and T15K6. To evaluate the results obtained and describe their distribution, the authors use the Shapiro–Wilk agreement criterion to check the correlation between the initial data and the corresponding assumption of their normal distribution. Since the obtained production test data do not obey the normal distribution law, the nonparametric Parsen–Rosenblatt method is used for further analysis.

Keywords

• prefabricated cutting tool
• replaceable polyhedral plates
• operability
• failure probability
• shapiro–wilk agreement criterion
• nonparametric statistics
• parsen–rosenblatt method
• distribution density function