Journal
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL
Volume 38, Issue 2, Pages 659-678Publisher
WILEY
DOI: 10.1002/qre.3007
Keywords
edge betweenness; failure propagation and diffusion; hypergraph theory; influence degree of failure; machining centre
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Funding
- Jilin Province Science and Technology Development Plan Project [20190302104GX]
- National Science and Technology Major Project of the Ministry of Science and Technology of China [2015ZX04005005, 101832020DJX037]
- Graduate Interdisciplinary Research of Jilin University
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The research proposed a method using hypergraph theory to analyze failure propagation behavior, constructing a hierarchical structure model, considering the influence of multiple truncation data, and calculating coefficients of failure propagation and diffusion using hypergraph theory. Critical failure nodes and paths were identified based on the calculated influence degrees of failure.
To improve the rationality of failure diagnosis, this research uses hypergraph theory as basis in proposing a method of analysing failure propagation behaviour to study the failure propagation mechanism from the system perspective. A hierarchical structure model is constructed by failure correlation analysis, matrix transformation and decomposition. The probability of failure is determined by considering the influence of multiple truncation data. On this basis, hypergraph theory is used to calculate the one-step and cumulative coefficient of failure propagation and diffusion. The influence degree of failure is calculated by integrating the edge betweenness. Using the influence degree of failure as an indicator, failure propagation and diffusion behaviour are analysed, and critical failure nodes and paths are identified. Lastly, a machining centre is used as an example for specific application. The results are compared with the ranking results of critical failure propagation paths determined by other methods, and the effectiveness of the proposed method is verified.
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