Monitoring reliability of man-machine system of machining area using the Weibull distribution

Monitoring reliability of man-machine system of machining area using the Weibull distribution

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 syste...

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Asıl Yazarlar: Amaya Toral, Rosa María, Baro Tijerina, Manuel, García-Martínez, Martha Patricia, Valdiviezo Castillo, Cinthia Judith
Materyal Türü: Online
Dil:eng
Baskı/Yayın Bilgisi: Universidad Autónoma de Baja California 2023
Online Erişim:https://recit.uabc.mx/index.php/revista/article/view/324
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spelling recit-article-3242024-03-10T18:33:28Z Monitoring reliability of man-machine system of machining area using the Weibull distribution Monitoreo de la confiabilidad del sistema hombre-máquina del área de mecanizado mediante la distribución de Weibull Amaya Toral, Rosa María Baro Tijerina, Manuel García-Martínez, Martha Patricia Valdiviezo Castillo, Cinthia Judith Reliability Machine-human Weibull distribution Exponential distribution Fiabilidad Máquina-humano Distribución de Weibull Distribución exponencial 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. Esta publicación presenta el desarrollo de un método que busca monitorear los parámetros β (forma) y η (escala) para cada combinación componente-subsistema siguiendo la distribución de Weibull, necesarios para el cálculo de la confiabilidad del sistema hombre-máquina en el área de maquinado. Este sistema define los talleres de la metalmecánica, con producción por lotes de alta mezcla y bajo volumen donde intervienen máquinas convencionales y de Control Numérico Computarizado (CNC), que comparten la fabricación de piezas que en ocasiones son únicas, o su periodo de fabricación es corto. El diseño del sistema hombre-máquina se basa en el análisis de los fallos de piezas no conformes en el área de mecanizado y en las tasas de fallo, para cuya evaluación se desarrolla el modelo estadístico, considerando la distribución de Weibull de 2 parámetros, y un sistema redundante con configuración serie-paralelo. Los resultados obtenidos se basaron en el teórico-práctico, utilizando modelos matemáticos y estadísticos, así como el Caso de Estudio. Con el uso de modelos matemáticos y estadísticos, se demuestra que la probabilidad de falla (riesgo) del sistema hombre-máquina depende del tiempo y es generada por tensiones de tipo mecánico, que ocurren en la fabricación de las piezas. Universidad Autónoma de Baja California 2023-12-31 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf text/html application/zip https://recit.uabc.mx/index.php/revista/article/view/324 10.37636/recit.v7n1e324 REVISTA DE CIENCIAS TECNOLÓGICAS; Vol. 7 No. 1 (2024): January-March; e324 REVISTA DE CIENCIAS TECNOLÓGICAS; Vol. 7 Núm. 1 (2024): Enero-Marzo; e324 2594-1925 eng https://recit.uabc.mx/index.php/revista/article/view/324/527 https://recit.uabc.mx/index.php/revista/article/view/324/528 https://recit.uabc.mx/index.php/revista/article/view/324/529 Copyright (c) 2023 Rosa María Amaya Toral, Manuel Baro Tijerina, Martha Patricia García-Martínez, Cinthia Judith Valdiviezo Castillo https://creativecommons.org/licenses/by/4.0
institution RECIT
collection OJS
language eng
format Online
author Amaya Toral, Rosa María
Baro Tijerina, Manuel
García-Martínez, Martha Patricia
Valdiviezo Castillo, Cinthia Judith
spellingShingle Amaya Toral, Rosa María
Baro Tijerina, Manuel
García-Martínez, Martha Patricia
Valdiviezo Castillo, Cinthia Judith
Monitoring reliability of man-machine system of machining area using the Weibull distribution
author_facet Amaya Toral, Rosa María
Baro Tijerina, Manuel
García-Martínez, Martha Patricia
Valdiviezo Castillo, Cinthia Judith
author_sort Amaya Toral, Rosa María
title Monitoring reliability of man-machine system of machining area using the Weibull distribution
title_short Monitoring reliability of man-machine system of machining area using the Weibull distribution
title_full Monitoring reliability of man-machine system of machining area using the Weibull distribution
title_fullStr Monitoring reliability of man-machine system of machining area using the Weibull distribution
title_full_unstemmed Monitoring reliability of man-machine system of machining area using the Weibull distribution
title_sort monitoring reliability of man-machine system of machining area using the weibull distribution
description 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.
publisher Universidad Autónoma de Baja California
publishDate 2023
url https://recit.uabc.mx/index.php/revista/article/view/324
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