Skip to main content
SpringerLink
Log in

Identification of Cable Forces on Cable-Stayed Bridges: A Novel Application of the MUSIC Algorithm

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

Proper identification of the cable’s resonant frequencies is critical to provide an accurate estimate of cable force. The MUltiple SIgnal Classification (MUSIC) algorithm is implemented to estimate cable-stayed bridge cable tensions noninvasively from measured cable motion. This algorithm performs eigenanalysis on the data sequence to estimate and eliminate noise contributions before creating its frequency spectrum, providing a more robust estimation approach than traditional Fourier based frequency spectrums. To aid in the selection of cable frequencies, a comprehensive finite difference cable model is simulated and compared to the estimated MUSIC spectrums.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. FHWA/HNTB (2005) Wind-induced vibration of stay cables: Interim Final Report

  2. Irvine M (1981) Cable structures. MIT, Cambridge

    Google Scholar 

  3. Kim B, Park T (2007) Estimation of cable tension force using the frequency-based system identification method. J Sound Vib 304(3–5):660–676

    Article  Google Scholar 

  4. Main JA, Jones NP (1999) Full scale measurements of cable vibration. In: Proc., 10th int. conf. on wind eng., pp 863–970

  5. Mehrabi A (2006) In-service evaluation of cable-stayed bridges, overview of available methods, and findings. J Bridge Eng 11(6):716–724

    Article  Google Scholar 

  6. Mehrabi A, Tabatabai H (1998) Unified finite difference formulation for free vibration of cables. J Struct Eng 124(11):1313–1322

    Article  Google Scholar 

  7. Murakami T (2001) Fundamental frequency estimation of speech signals using music algorithm. Acoust Sci Technol 22(4):293–297

    Article  Google Scholar 

  8. Van Overschee P, DeMoor B (1996) Subspace identification for linear systems: theory-implementations-applications. Kluwer Academic, Dordrecht

    Google Scholar 

  9. Proakis J, Manolakis D (1996) Digital signal processing: principles, algorithms, and applications, 3rd edn. Prentice Hall, Englewood Cliffs

    Google Scholar 

  10. Rao BD, Hari KVS (1989) Performance analysis of root-music. IEEE Trans Acoust Speech Signal Process 37(12):1939–1949

    Article  Google Scholar 

  11. Robert JL, Bruhat D, Gervais JP, Chatelain J (1991) Mesure de la tension des cables par methode vibratoire. Liaison des laboratoires des ponts et Chaussees, France 173:109–114 (in French)

    Google Scholar 

  12. Schmidt R (1986) Multiple emitter location and signal parameter estimation. IEEE Trans Antennas Propag AP-34(3):276–280

    Article  Google Scholar 

  13. Smith SW, Campbell JE (2002) Testing and model verification of the maysville kenutcky bridge stay cables. In: Proc., int. modal analysis conf., pp 1050–1056

  14. Triantafyllou MS (1984) The dynamics of taut inclined cables. Q J Mech Appl Math 37(3):421–440

    Article  MATH  Google Scholar 

  15. Triantafyllou MS, Grinfogel L (1986) Natural frequencies and modes of inclined cables. J Struct Eng 112(1):139–148

    Article  Google Scholar 

  16. Welch P (1967) The use of fast fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Trans Audio Electroacoust 15(2):70–73

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

The work presented here has been conducted by the University of Cincinnati Infrastructure Institute (UCII) under the auspices of the Ohio Department of Transportation (ODOT) and the authors would like to acknowledge this support in regards to testing the stays of the Ulysses S. Grant Bridge.

Author information

Authors and Affiliations

  1. University of Cincinnati Infrastructure Institute, Cincinnati, OH, 45221, USA

    S. Kangas, A. Helmicki, V. Hunt, R. Sexton & J. Swanson

Authors
  1. S. Kangas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Helmicki
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. Hunt
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. R. Sexton
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. J. Swanson
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. Kangas.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kangas, S., Helmicki, A., Hunt, V. et al. Identification of Cable Forces on Cable-Stayed Bridges: A Novel Application of the MUSIC Algorithm. Exp Mech 50, 957–968 (2010). https://doi.org/10.1007/s11340-009-9263-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11340-009-9263-4

Keywords

Search

Navigation