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Fuzzy-Statistical Reasoning in Fault Diagnosis

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Computational Intelligence in Fault Diagnosis

Part of the book series: Advanced Information and Knowledge Processing ((AI&KP))

Abstract

When searching for faults threatening a system, the human expert is sometimes performing an amazingly accurate analysis of available information, frequently by using only elementary statistics. Such reasoning is referred to as “fuzzy reasoning,” in the sense that the expert is able to extract and analyse the essential information of interest from a data set strongly affected by uncertainty. Automating the reasoning mechanisms that represent the foundation of such an analysis is, in general, a difficult attempt, but also a possible one, in some cases. The chapter introduces a nonconventional method of fault diagnosis, based upon some statistical and fuzzy concepts applied to vibrations, which intends to automate a part of human reasoning when performing the detection and classification of defects.

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References

  1. Angelo M (1987) Vibration Monitoring of Machines. Bruel & Kjiaer Technical Review 1:1–36

    Google Scholar 

  2. Barkov AV, Barkova NA, Mitchell JS (1995a) Condition Assessment and Life Prediction of Rolling Element Bearings — Part 1. Journal of Sound and Vibration 6:10–17, June 1995 (http://www.inteltek.com/articles/sv95/part1/index.htm)

    Google Scholar 

  3. Barkov AV, Barkova NA, Mitchell JS (1995b) Condition Assessment and Life Prediction of Rolling Element Bearings — Part 2. Journal of Sound and Vibration 9:27–31, September 1995 (http://www.inteltek.com/articles/sv95/part2/index.htm)

    Google Scholar 

  4. Bedford A, Drumheller DS (1994) Introduction to Elastic Wave Propagation. John Wiley & Sons, Chichester, UK

    Google Scholar 

  5. Braun S (1986) Mechanical Signature Analysis. Academic Press, London, UK

    Google Scholar 

  6. Cohen L (1995) Time-Frequency Analysis. Prentice Hall, New Jersey, USA

    Google Scholar 

  7. FAG OEM & Handel AG (1996) Wälzlagerschäden — Schadenserkennung und Begutachtung gelaufener Wälzlager. Technical Report WL 82 102/2 DA

    Google Scholar 

  8. FAG OEM & Handel AG (1997) Rolling Bearings — State-of-the-Art, Condition-Related Monitoring of Plants and Machines with Digital FAG Vibration Monitors. Technical Report WL 80-65 E

    Google Scholar 

  9. Howard I (1994) A Review of Rolling Element Bearing Vibration: Detection, Diagnosis and Prognosis. Report of Defense Science and Technology Organization, Australia

    Google Scholar 

  10. Isermann R (1993) Fault Diagnosis of Machines via Parameter Estimation and Knowledge Processing. Automatica 29(4):161–170

    MathSciNet  Google Scholar 

  11. Isermann R (1997) Knowledge-Based Structures for Fault Diagnosis and its Applications. In: Proceedings of the 4th IFAC Conference on System, Structure and Control, SSC’97, Bucharest, Romania, pp.15–32

    Google Scholar 

  12. Kaiser JF (1974) Nonrecursive Digital Filter Design Using the I0-sinh Window Function. In: Proceedings of the IEEE Symposium on Circuits and Systems, pp.20–23

    Google Scholar 

  13. Klir GJ, Folger TA (1988) Fuzzy sets, Uncertainty, and Information. Prentice Hall, New York, USA

    MATH  Google Scholar 

  14. LMS International (1999) LMS Scalar Instruments Roadrunner. User Guide. LMS Scalar Instruments Printing House, Leuven, Belgium

    Google Scholar 

  15. Maness PhL, Boerhout JI (2001) Vibration Data Processor and Processing Method. United States Patent No. US 6,275,781 B1 (http://www.uspto.gov/go/ptdl/)

    Google Scholar 

  16. McConnell KG (1995) Vibration Testing. Theory and Practice. John Wiley & Sons, New York, USA

    Google Scholar 

  17. Oppenheim AV, Schafer R (1985) Digital Signal Processing. Prentice Hall, New York, USA

    Google Scholar 

  18. Proakis JG, Manolakis DG (1996) Digital Signal Processing. Principles, Algorithms and Applications (third edition). Prentice Hall, Upper Saddle River, New Jersey, USA

    Google Scholar 

  19. Reiter R (1987) A Theory of Diagnosis from First Principles. Artificial Intelligence 32: 57–95

    Article  MathSciNet  Google Scholar 

  20. Söderström T, Stoica P (1989) System Identification. Prentice Hall, London, UK

    MATH  Google Scholar 

  21. Stefanoiu D, Ionescu F (2002) Mathematical Models of Defect Encoding Vibrations. A Tutorial. Journal of the American-Romanian Academy (ARA), Montréal, Canada, Vol. 2001–2002

    Google Scholar 

  22. von Tscharner V (2000) Intensity Analysis in Time-Frequency Space of Modelled Surface Myoelectric Signals by Wavelets of Specified Resolution, preprint

    Google Scholar 

  23. Ulieru M, Stefanoiu D, Norrie D (2000) Identifying Holonic Structures in Multi-Agent Systems by Fuzzy Modeling. In: Kusiak A & Wang J (eds) Art for Computational Intelligence in Manufacturing, CRC Press, Boca Raton, Florida, USA

    Google Scholar 

  24. Willsky AS (1976) A Survey of Design Methods for Failure Detection Systems. Automatica 12:601–61

    Article  MathSciNet  Google Scholar 

  25. Wowk V (1995) Machinery Vibration. Balancing. McGraw-Hill, Upper Saddle River, New York, USA

    Google Scholar 

  26. Xi F, Sun Q, Krishnappa G (2000) Bearing Diagnostics Based on Pattern Recognition of Statistical Parameters. Journal of Vibration and Control 6:375–392

    Google Scholar 

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© 2006 Springer-Verlag London Limited

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Stefanoiu, D., Ionescu, F. (2006). Fuzzy-Statistical Reasoning in Fault Diagnosis. In: Palade, V., Jain, L., Bocaniala, C.D. (eds) Computational Intelligence in Fault Diagnosis. Advanced Information and Knowledge Processing. Springer, London. https://doi.org/10.1007/978-1-84628-631-5_5

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  • DOI: https://doi.org/10.1007/978-1-84628-631-5_5

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84628-343-7

  • Online ISBN: 978-1-84628-631-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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