A fuzzy transition based approach for fault severity prediction in helical gearboxes

Mariela Cerrada, Chuan Li, René Vinicio Sánchez, Fannia Pacheco, Diego Cabrera, José Valente de Oliveira

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


Rotating machinery is an important device supporting manufacturing processes, and a wide research works are devoted to detecting and diagnosing faults in such machinery. Recently, prognosis and health management in rotating machinery have received high attention as a research area, and some advances in this field are focused on fault severity assessment and its prediction. This paper applies a fuzzy transition based model for predicting fault severity conditions in helical gears. The approach combines Mamdani models and hierarchical clustering to estimate the membership degrees to fault severity levels of samples extracted from historical vibration signals. These membership degrees are used to estimate the weighted fuzzy transitions for modelling the evolution along the fault severity states over time, according to certain degradation path. The obtained fuzzy model is able of predicting the one step-ahead membership degrees to the severity levels of the failure mode under study, by using the current and the previous membership degrees to the severity levels of two available successive input samples. This fuzzy predictive model was validated by using real data obtained from a test bed with different damages of tooth breaking in the helical gears. Results show adequate predictions for two scenarios of fault degradation paths.

Original languageEnglish
Pages (from-to)52-73
Number of pages22
JournalFuzzy Sets and Systems
StatePublished - 15 Apr 2018

Bibliographical note

Funding Information:
This work was sponsored by The Ministry of Higher Education, Science, Technology and Innovation ( SENESCYT ) of the Republic of Ecuador, under the Prometeo program grant number 20160017BP. Authors thank their support. We also want to express our thanks to the GIDTEC research group of the Universidad Politécnica Salesiana for supporting the accomplishment of this research.

Publisher Copyright:
© 2016 Elsevier B.V.


  • Fault detection and diagnosis
  • Fault severity classification
  • Fault severity prediction
  • Fuzzy prediction
  • Fuzzy transition probability


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