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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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.
Chandrupatla, T. R., & Belegundu, A. D. (2001). Introduction to finite elements in engineering. New Jersey: Prentice-Hall.
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.
JCSS - Joint Committee on Structural Safety (Publications - Probabilistic Model Code - Part3- 3.02: STRUCTURAL STEEL, March 2001.) http://www.jcss.ethz.ch/
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.
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.
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.
Ross, T. J. (1997). Fuzzy logic with engineering applications. Singapore: McGraw-Hill Inc.
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.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this chapter
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)