Monitoring reliability of man-machine system of machining area using the Weibull distribution
DOI:
https://doi.org/10.37636/recit.v7n1e324Keywords:
Reliability, Machine-human, Weibull distribution, Exponential distributionAbstract
This publication presents the development of a method that seeks to monitor the parameters β (shape) and η (scale) for each component-subsystem combination following the Weibull distribution, necessary for the calculation of the reliability of the man-machine system in the machining area. This system defines the workshops of the metal-mechanic, with high-mix and low-volume batch production where conventional and Computerized Numerical Control (CNC) machines are involved, which share the manufacturing of parts that sometimes are unique, or their manufacturing period is short. The design of the man-machine system is based on the analysis of the failures of non-conforming parts in the machining area and on the failure rates, which the statistical model is developed for its evaluation, considering the 2-parameter Weibull distribution, and a redundant system with series-parallel configuration. The results obtained were based on the theoretical-practical, using mathematical and statistical models, as well as the Study Case. With the use of mathematical and statistical models, it is demonstrated that the probability of failure (risk) of the man-machine system is time-dependent and is generated by mechanical type stresses, which occur in the manufacture of parts.
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Copyright (c) 2023 Rosa María Amaya Toral, Manuel Baro Tijerina, Martha Patricia García-Martínez, Cinthia Judith Valdiviezo Castillo
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