The aim of the article is to justify the methodology for studying the influence of measurement error of the radial runout of gear wheels on the indicators of acceptance control. The methodology of the conducted studies is based on simulation, statistical modeling, and digitalization of the proposed algorithmic model. In accordance with this, criteria for determining the division of technological systems depending on the level of their technological accuracy (reduced, normal, increased) are also proposed. The acceptance control reliability indicators include the percentage of products: correctly accepted, correctly rejected, incorrectly accepted (consumer’s risk), and incorrectly rejected (manufacturer’s risk). The use of a two-parameter distribution (Weibull) is justified in the article, which makes the results relevant, as the digitized algorithmic model allows to adequately predict the reliability of control by estimating the percentage of incorrectly accepted and incorrectly rejected products depending on the accuracy of the technological system and the marginal error of the control system. As a result of a few computer experiments, graphs of predictive dependencies of the percentage of incorrectly rejected products on the maximum permissible error of the control system in the range of 0…20 microns.

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Justification of Digital Algorithmic Model Controlling the Radial Runout of Gear Wheels

  • Serhii Alekseyenko,
  • Vladyslav Ruban,
  • Vitalii Derbaba,
  • Oleksandr Bohdanov,
  • Serhii Patsera

摘要

The aim of the article is to justify the methodology for studying the influence of measurement error of the radial runout of gear wheels on the indicators of acceptance control. The methodology of the conducted studies is based on simulation, statistical modeling, and digitalization of the proposed algorithmic model. In accordance with this, criteria for determining the division of technological systems depending on the level of their technological accuracy (reduced, normal, increased) are also proposed. The acceptance control reliability indicators include the percentage of products: correctly accepted, correctly rejected, incorrectly accepted (consumer’s risk), and incorrectly rejected (manufacturer’s risk). The use of a two-parameter distribution (Weibull) is justified in the article, which makes the results relevant, as the digitized algorithmic model allows to adequately predict the reliability of control by estimating the percentage of incorrectly accepted and incorrectly rejected products depending on the accuracy of the technological system and the marginal error of the control system. As a result of a few computer experiments, graphs of predictive dependencies of the percentage of incorrectly rejected products on the maximum permissible error of the control system in the range of 0…20 microns.