Skip to main content

Fuzzy Logic and Probability in Damage Detection

  • Chapter
  • First Online:
Structural Health Monitoring
  • 514 Accesses

Abstract

A simple application problem is selected to illustrate key concepts of uncertainty modeling, probabilistic analysis, and fuzzy logic in the context of damage detection. The problem involves local damage in a cantilever beam with natural frequency damage indicators. The modeling aspects of the problem are kept simple to allow the development of algorithmic concepts. The governing equation of a Euler–Bernoulli beam is presented in Sect. 2.1.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Chandrasekhar, M., & Ganguli, R. (2009) Uncertainty handling in structural damage detection using fuzzy logic and probabilistic simulation. Mechanical Systems and Signal Processing, 23(2), 384–404.

    Google Scholar 

  2. Chandrupatla, T. R., & Belegundu, A. D. (2001). Introduction to finite elements in engineering. New Jersey: Prentice-Hall.

    MATH  Google Scholar 

  3. Ganguli, R. (2001). A fuzzy logic system for ground based structural health monitoring of a helicopter rotor using modal data. Journal of Intelligent Material Systems and Structures, 12(6), 397–407.

    Article  Google Scholar 

  4. JCSS - Joint Committee on Structural Safety (Publications - Probabilistic Model Code - Part3- 3.02: STRUCTURAL STEEL, March 2001.) http://www.jcss.ethz.ch/

  5. Singh, B. N., Yadav, D., & Iyengar, N. G. R. (2001). Natural frequencies of composite plates with random material properties using higher-order shear deformation theory. International Journal of Mechanical Sciences, 43(10), 2193–2214.

    Article  Google Scholar 

  6. Kong, L., & Parker, R. G. (2004). Approximate eigensolutions of axially moving beams with small flexural stiffness. Journal of Sound and Vibration, 276(1–2), 459–469.

    Article  Google Scholar 

  7. Kaplunov, J. D., Nolde, E. V., & Shorr, B. F. (2005). A perturbation approach for evaluating natural frequencies of moderately thick elliptic plates. Journal of Sound and Vibration, 281(3–5), 905–919.

    Article  Google Scholar 

  8. Ross, T. J. (1997). Fuzzy logic with engineering applications. Singapore: McGraw-Hill Inc.

    Google Scholar 

  9. Jin, Y., Seelen, W.V. & Sendhoff, B. (2000). Extracting interpretable fuzzy rules from RBF neural networks. Ruhr-Universitat Bochum Institut fur Neuroinformatik 44780 Bochum, FRG, Report, IR-INI 2000-02, ISSN 0943-2752.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ranjan Ganguli .

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Ganguli, R. (2020). Fuzzy Logic and Probability in Damage Detection. In: Structural Health Monitoring. Springer, Singapore. https://doi.org/10.1007/978-981-15-4988-5_2

Download citation

  • DOI: https://doi.org/10.1007/978-981-15-4988-5_2

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-4987-8

  • Online ISBN: 978-981-15-4988-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics