Turning tool life reliability analysis based on approximate Bayesian theory

Gao, Tianhong; Li, Yuxiong; Huang, Xianzhen; Li, Honglei

doi:10.1177/1748006x211043753

Cited by 3 publications

(1 citation statement)

References 38 publications

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“…The Bayesian theory generally refers to Bayesian decision theory, which is an important part of subjective Bayesian inductive theory [24][25]. The core of Bayesian theory is the Bayesian formulation, which has the basic form of:…”

Section: Bayesian Theorymentioning

confidence: 99%

Reform and innovation of saxophone teaching mode in colleges and universities based on Bayesian model

Lyu,

Hou

2023

Applied Mathematics and Nonlinear Sciences

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To improve the teaching level of saxophone performance in colleges and universities, this paper constructs a saxophone performance education optimization platform based on Bayesian theory. Bayesian clustering is used to informally cluster the saxophone performance education situation in colleges and universities, and the maximum likelihood algorithm is used to calculate the student behavior parameters. The Bayesian network tracking technique analyzes all learning behavior indicators to serve as a reference to obtain labels of learner motivation. To ensure the validity of the feedback metrics, the Bayesian stochastic calculation method was invoked to calculate the AUC (metric) mean ratio of the three feedback metrics. A practical teaching analysis was conducted to verify the platform’s timeliness. The results show that: The response time of login and resource search of the platform constructed in this paper is less than 2.5s and 1.2s, respectively, and the AUC mean ratio of three feedback metrics, namely, download rate, registration rate, and click rate, has improved by about 0.75%. Moreover, the positive attitude of university students towards learning has reached 88%. This shows the reliability of the educational platform constructed in this paper in optimizing higher education saxophone performance education, which can effectively improve the teaching level of saxophone performance education.

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Section: Bayesian Theorymentioning

confidence: 99%

Reform and innovation of saxophone teaching mode in colleges and universities based on Bayesian model

Lyu,

Hou

2023

Applied Mathematics and Nonlinear Sciences

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Reliability analysis of PVD-coated carbide tools during high-speed machining of Inconel 800

Das,

Naikan,

Panja

2024

Proceedings of the Institution of Mechanical Engineers, Part O:

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Predicting the cutting tool life is crucial for effectively managing machining costs, ensuring product quality, maintaining equipment availability and minimising waste in machining processes. When machining heat-resistant superalloys such as Inconel, the concern for tool life becomes even more pronounced. Cutting tool failure is a complex phenomenon that depends on several variables, including tool type and material, workpiece material, machine tool type and machining parameters. Traditional run-to-fail tests to predict tool life are costly and time-consuming. To address these challenges, accelerated degradation testing (ADT) offers a promising solution. ADT involves subjecting the component to higher levels of parameters, causing it to fail faster than under normal conditions. This approach saves time and reduces expenses associated with tool life tests for valuable workpieces. In implementing the concept of ADT, the experimental cutting speed [Formula: see text] values are selected much higher than the normal usage levels in the present study. The tool life tests are performed at three levels of [Formula: see text], feed rate [Formula: see text], depth of cut [Formula: see text] and tool nose radius [Formula: see text] using the Taguchi L9 orthogonal array. Parametric statistical approaches, that is, accelerated failure time (AFT) models, are applied with distributions, namely the Weibull, lognormal and log-logistic distributions, to analyse the cutting tool’s reliability based on predictor variables. Various tool wear modes are considered criteria for tool failure. The comparison is made among the mean time to failure (MTTF) of cutting tools as predicted by various fitted models. Additionally, a favourable tool failure pattern is observed when using the middle level of [Formula: see text] and operating at relatively higher [Formula: see text] values while ensuring that [Formula: see text] and [Formula: see text] values fall within the recommended range. The proposed approach has the potential for diverse applications, including assessing the reliability of cutting tools and tool condition monitoring.

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Parameter Estimation of the Weibull Distribution in Modeling the Reliability of Technical Objects

Frolov,

Tanchenko,

Ohluzdina

2024

JES

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The article discusses one of the most widely used distribution laws for reliability analysis – Weibull distribution. It describes a wide range of processes for all stages of the life cycle of technical objects, including yield stress of steel distribution and failures in the reliability theory regarding the wide range of technical objects (e.g., metal cutting tools, bearings, compressors, and wheels). A significant number of works are devoted to evaluating distribution law parameters based on empirical data in search of the most precise one, ignoring the probabilistic character of the parameters themselves. Parameters may have a relatively wide confidence range, which can be considered the parameter estimation error compared to biases of parameters estimated by different methods. Moreover, many approaches should be used for certain selection volumes, including comprehensive calculating procedures. Instead, this paper suggested and statistically confirmed a universal simplified approach. It demands a minimal set of data and connects the shape and scale parameters of the Weibull distribution with the variation coefficient as one of the leading statistical characteristics. This approach does not demand variational sequence arrangement. Nevertheless, it is supposed to be quite efficient for the engineering practice of reliability analysis. The adequacy of the results was confirmed using generated selections analysis and experimental data on cutting tool reliability. Within the achieved results, it was also demonstrated that the variation coefficient reflects not only selection stability and variable volatility degree, which are its main aim, but the cause of failure as well.

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Turning tool life reliability analysis based on approximate Bayesian theory

Cited by 3 publications

References 38 publications

Reform and innovation of saxophone teaching mode in colleges and universities based on Bayesian model

Reform and innovation of saxophone teaching mode in colleges and universities based on Bayesian model

Reliability analysis of PVD-coated carbide tools during high-speed machining of Inconel 800

Parameter Estimation of the Weibull Distribution in Modeling the Reliability of Technical Objects

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