Application of interchangeability, standardization, and technical measurement methods for assessing the manufacturing accuracy of drill bit teeth
DOI:
https://doi.org/10.31471/1993-9965-2025-2(59)-123-133Keywords:
product quality; centrifugally reinforced tooth; statistical processing of measurement results; statistical characteristics; histogram; distribution curve; accuracy level.Abstract
This work examines the application of statistical process control methods to improve the manufacturing quality of drill bit cone teeth produced by centrifugal reinforcement. A methodology was developed for assessing the accuracy of the teeth blanks' geometric dimensions through the statistical processing of measurement results. Based on the obtained data, the quality grade (tolerance grade) was determined. To investigate the dimensional variation arising during the teeth casting process, the following statistical characteristics were used: for small sample sizes – the arithmetic mean (x̄), variance (S²) or standard deviation (S), and the range (R). For large production batches, the concepts of mathematical expectation M(x) and the distribution curve were also employed. The study constructed a distribution graph of random variables in the form of a histogram and a polygon (empirical distribution curve). Based on the graph's shape, a hypothesis was put forward regarding the conformity of the distribution curve to the normal (Gaussian) law. The results of a large sample study established the limits within which, with a specified probability, the random diameters of the teeth shanks produced by the given technological process would be found. The practical spread of a random variable (size) was taken as the field equal to 6S. The size of this field was equated to the manufacturing tolerance Td: Td = 6S. In this case, the probability of the random size exceeding these limits is 0.27%. The level of accuracy (tolerance grade) in this work was determined for the nominal shank diameter d = 8 mm and the tolerance value Td = 0.168 mm, using reference tables from DSTU ISO 286-2.
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