International Journal of Production Research · 1986 · 17 citations · 4 references
EngineeringIndustrial EngineeringManufacturing EngineeringAutomationManufacturing ProcessesUncertainty QuantificationFailure AnalysisFailure CriteriaFailure TheoriesMachiningReliabilityReliability ModelingFailure ProbabilityReliability PredictionStatistical Failure TheorySystem ReliabilitySystem Reliability AnalysisSystem Reliability ModelingTungsten Carbide InsertsWeibull Model
SUMMARY This paper outlines the development of a mathematical model for predicting the system reliability of the cutting tools for an automated machining system with various carbide inserts and spares subject to Weibull failures. A numerical method using Simpson's Rule was selected as a method to address the problem of multiple integration resulting from the Weibull distribution in the spares model. A recursive algorithm was developed for predicting the system reliability of the cutting tools. This paper demonstrates the application of the developed reliability prediction model with a realistic example in the interrupted cutting process.
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Donald Greenspan, Brice Carnahan, H. Luther et al. · Mathematics of Computation · 1970 · 3.5K citations