Skip to main content
SpringerLink
Log in

Structural Diagnostics of Composite Beams Using Optimally Selected Fractional B-spline Wavelets

  • Conference paper
Intelligent Systems in Technical and Medical Diagnostics

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 230))

Abstract

The method of structural diagnostics of composite structures presented in this paper is based on discrete wavelet transform of displacements of modal shapes with usage of fractional B-spline wavelets. An application of such wavelets makes possible to improve the sensitivity of the method, which allows for detection and identification of even small damages occurred in the structure. In order to select the most sensitive wavelet bases for the analysis the optimization study was carried out, where the highest ratio of peak, which indicated the damage, to other values of detail coefficients and possibly short support of a peak in the location of the damage were chosen as the optimization criteria. Obtained results allow for the evaluation of the possible best wavelet bases for the damage identification of one-dimensional composite structures.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Blu, T., Unser, M.: A complete family of scaling functions: the (α,τ)-fractional splines. In: Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing, vol. 6, pp. 421–424 (2003)

    Google Scholar 

  2. Chang, C.-C., Chen, L.-W.: Detection of the location and size of cracks in the multiple cracked beam by spatial wavelet based approach. Mech. Syst. Signal Pr. 19, 139–155 (2005)

    Article  Google Scholar 

  3. Chaudhury, K.N., Unser, M.: Construction of Hilbert transform pairs of wavelet bases and Gabor-like transforms. IEEE T. Signal Proces. 57, 3411–3425 (2009)

    Article  MathSciNet  Google Scholar 

  4. Deb, K.: Multi-objective optimization using evolutionary algorithms. Wiley (2009)

    Google Scholar 

  5. Douka, E., Loutridis, S., Trochidis, A.: Crack identification in beams using wavelet analysis. Int. J. Solids Struct. 40, 3557–3569 (2003)

    Article  MATH  Google Scholar 

  6. Douka, E., Loutridis, S., Trochidis, A.: Crack identification in double-cracked beams using wavelet analysis. J. Sound Vib. 277, 1025–1039 (2004)

    Article  Google Scholar 

  7. Dumont, J., Hernandez, A., Carrault, G.: Improving ECG Beats Delineation With an Evolutionary Optimization Process. IEEE Trans. Biomed. Engineering 57(3), 607–615 (2010)

    Article  Google Scholar 

  8. Katunin, A.: Identification of multiple cracks in composite beams using discrete wavelet transform. Sci. Probl. Mach. Oper. Maint. 45, 41–52 (2010)

    Google Scholar 

  9. Katunin, A.: The construction of high-order B-spline wavelets and their decomposition relations for fault detection and localisation in composite beams. Sci. Probl. Mach. Oper. Maint. 46, 43–59 (2011)

    Google Scholar 

  10. Katunin, A.: Damage identification in composite plates using two-dimensional B-spline wavelets. Mech. Syst. Signal Pr. 25, 3153–3167 (2011)

    Article  Google Scholar 

  11. Katunin, A.: Crack identification in composite beam using causal B-spline wavelets of fractional order. Model. Eng. (in press)

    Google Scholar 

  12. Li, Z., Xia, S., Wang, J., Su, X.: Damage detection of cracked beams based on wavelet transform. Int. J. Impact Eng. 32, 1190–1200 (2006)

    Article  Google Scholar 

  13. Rafiee, J., Tse, P.W., Harifi, A., Sadeghi, M.H.: A novel technique for selecting mother wavelet function using an intelligent fault diagnosis system. Expert Syst. Appl. 36, 4862–4875 (2009)

    Article  Google Scholar 

  14. Unser, M., Blu, T.: Fractional splines and wavelets. SIAM Rev. 42, 43–67 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  15. Unser, M., Aldroubi, A., Eden, M.: On the asymptotic convergence of B-spline wavelets to Gabor functions. IEEE T. Inform. Theory 38, 864–872 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  16. Wu, N., Wang, Q.: Experimental studies on damage detection of beam structures with wavelet transform. Int. J. Eng. Sci. 49, 253–261 (2011)

    Article  Google Scholar 

  17. Xiang, J., Liang, M.: A two-step approach to multi-damage detection for plate structures. Eng. Fract. Mech. 91, 73–86 (2012)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Fundamentals of Machinery Design, Silesian University of Technology, Konarskiego 18A, 44-100, Gliwice, Poland

    Andrzej Katunin & Piotr Przystałka

Authors
  1. Andrzej Katunin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Piotr Przystałka
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Andrzej Katunin .

Editor information

Editors and Affiliations

  1. , Institute of Control and, University of Zielona Gora, ul. Podgorna 50, Zielona Gora, 65-246, Poland

    Jozef Korbicz

  2. , Institute of Control and, University of Zielona Gora, ul. Podgorna 50, Zielona Gora, 65-246, Poland

    Marek Kowal

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Katunin, A., Przystałka, P. (2014). Structural Diagnostics of Composite Beams Using Optimally Selected Fractional B-spline Wavelets. In: Korbicz, J., Kowal, M. (eds) Intelligent Systems in Technical and Medical Diagnostics. Advances in Intelligent Systems and Computing, vol 230. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39881-0_40

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-39881-0_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39880-3

  • Online ISBN: 978-3-642-39881-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation