Skip to main content

Damage Detection with Symplectic Geometry Spectrum Analysis in Changing Environment

  • Conference paper
  • First Online:
Dynamics of Civil Structures, Volume 2

Abstract

Time-varying environmental and operational conditions such as temperature and external loading may often mask subtle structural changes caused by damage and have to be removed for successful structural damage identification. In the paper, a symplectic geometry spectrum analysis method is employed to decompose a time series into the sum of a small number of independent and interpretable components, in which one can determine which components are caused by external influences. The symplectic geometry spectrum analysis method is performed in four steps: embedding, symplectic QR decomposition, grouping and diagonal averaging. One excellent advantage of the method is that it can deal with nonlinear time series which is inherently rooted in structural damage due to crack opening and closing. Numerical simulation shows that the method is promising to detect structural damage in the presence of environmental and operational variations.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and 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
Hardcover Book
USD 219.99
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. Sohn, H., Farrar, C.L., Hemez, F.M., Shunk, D.D., Stinemates, D.W., Nadler, B.R., Czarnecki, J.J.: A review of structural health monitoring literature: 1996–2001. Los Alamos National Laboratory Report, LA-13976-MS (2004)

    Google Scholar 

  2. Carden, E.P., Fanning, P.: Vibration based condition monitoring: a review. Struct. Health Monit. 34(3), 355–377 (2004)

    Article  Google Scholar 

  3. Sohn, H.: Effects of environmental and operational variability on structural health monitoring. Philos. Trans. R. Soc. A: Math. Phys. Eng. Sci. 365(1851), 539–560 (2007)

    Article  Google Scholar 

  4. Zhou, C., Li, H.N., Li, D.S., Lin, Y.X.: Online damage detection using pair cointegration of time-varying displacement time series. Smart Struct. Syst. 12(3–4), 309–325 (2013)

    Article  Google Scholar 

  5. Deraemaeker, A., Reynders, E., De Roeck, G., Kullaa, J.: Vibration based structural health monitoring using output-only measurements under changing environment. Mech. Syst. Signal Process. 22(1), 34–56 (2008)

    Article  Google Scholar 

  6. Liang, Y.B., Li, D.S., Li, H.N.: Damage detection method based on the combination of successive displacement curvature under the influence of environmental temperature. J. Shenyang Jianzhu Univ. 30(3), 399–407 (2014)

    Google Scholar 

  7. Liang, Y.B., Li, D.S., Li, H.N.: Online damage detection based on cointegration of frequencies under influence of environmental temperature. J. Dalian Univ. Technol. 54(3), 307–314 (2014)

    Google Scholar 

  8. Yan, A.-M., Kerschen, G., De Boe, P., Golinval, J.-C.: Structural damage diagnosis under varying environmental conditions—Part I: a linear analysis. Mech. Syst. Signal Process. 19(2005), 847–864 (2005)

    Article  Google Scholar 

  9. Cross, E., Manson, G., Worden, K., Pierce, S.: Features for damage detection with insensitivity to environmental and operational variations. Proc. R. Soc. A: Math. Phys. Eng. Sci. 468(2148), 4098–4122 (2012)

    Article  Google Scholar 

  10. Figueiredo, E., Todd, M., Farrar, C., Flynn, E.: Autoregressive modeling with state-space embedding vectors for damage detection under operational variability. Int. J. Eng. Sci. 48(10), 822–834 (2010)

    Article  Google Scholar 

  11. Xie, H.B., Guo, T.R., Sivakumar, B., Liew, A.W.L., Dokos, S.: Symplectic geometry spectrum analysis of nonlinear time series. Proc. R. Soc. A 470, 20140409 (2014)

    Article  Google Scholar 

Download references

Acknowledgement

The authors appreciate the support by the National Natural Science Foundation of China (Grant No. 51121005, 51578107) and 973 Project (2015CB057704).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dong-Sheng Li .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 The Society for Experimental Mechanics, Inc.

About this paper

Cite this paper

Li, DS., Li, XH. (2016). Damage Detection with Symplectic Geometry Spectrum Analysis in Changing Environment. In: Pakzad, S., Juan, C. (eds) Dynamics of Civil Structures, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-29751-4_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-29751-4_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-29750-7

  • Online ISBN: 978-3-319-29751-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics