Skip to main content

A Comparison of Correlation Technique and Random Decrement Algorithm for Modal Identification from Nonstationary Ambient Vibration Data Only

  • Conference paper
  • First Online:
Intelligent Technologies and Engineering Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 234))

  • 1386 Accesses

Abstract

Modal identification from response data only is studied for structural systems under nonstationary ambient vibration. By assuming the ambient excitation to be nonstationary white noise in the form of a product model and introducing a technique of curve fitting, the practical problem of insufficient data samples available for evaluating nonstationary correlation functions or randomdec signatures can be approximately resolved by first extracting the amplitude-modulating function from the response and then transforming the nonstationary responses into stationary ones. Modal-parameter identification can then be performed using the Ibrahim time-domain method in conjunction with the correlation technique and random decrement algorithm, respectively. A comparison of correlation technique and random decrement algorithm is demonstrated through numerical simulations, which also confirm the validity of the proposed method for identification of modal parameters from nonstationary ambient response data.

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 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
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. Asmussen JC, Ibrahim SR, Brincker R (1996) Random decrement and regression analysis of bridges traffic responses. In: Proceedings of the 14th international modal analysis conference, Dearborn, 1996, vol 1. pp 453–458

    Google Scholar 

  2. Ibrahim SR, Mikulcik EC (1977) A method for the direct identification of vibration parameters from free response. Shock Vib Bull 47(4):183–198

    Google Scholar 

  3. James GH, Carne TG, Lauffer JP (1993) The natural excitation technique for modal parameter extraction from operating wind turbines. SAND92-1666. UC-261, Sandia National Laboratories, Sandia

    Google Scholar 

  4. Vandiver JK, Dunwoody AB, Campbell RB, Cook MF (1982) A mathematical basis for the random decrement vibration signature analysis technique. ASME J Mech Des 104:307–313

    Article  Google Scholar 

  5. Bedewi NE (1986) The mathematical foundation of the auto and cross-random decrement techniques and the development of a system identification technique for the detection of structural deterioration. Ph.D. thesis, University of Maryland College Park, College Park

    Google Scholar 

  6. Chiang DY, Lin CS (2010) Identification of modal parameters from ambient vibration data using eigensystem realization algorithm with correlation technique. J Mech Sci Technol 24(12):2377–2382

    Article  Google Scholar 

  7. Shinozuka M (1971) Simulation of multivariate and multidimensional random processes. J Acoust Soc Am 49(1):357–367

    Article  Google Scholar 

  8. Newmark NM (1959) A method of computation for structural dynamics. J Eng Mech ASCE 85(EM3):67–94

    Google Scholar 

  9. Allemang RL, Brown DL (1983) A correlation coefficient for modal vector analysis. In: Proceedings of the 1st international modal analysis conference, Society for Experiment Mechanics, Bethel, 1983, pp 110–116

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chang-Sheng Lin .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer Science+Business Media New York

About this paper

Cite this paper

Lin, CS., Tseng, TC., Chen, JR., Chiang, DY. (2013). A Comparison of Correlation Technique and Random Decrement Algorithm for Modal Identification from Nonstationary Ambient Vibration Data Only. In: Juang, J., Huang, YC. (eds) Intelligent Technologies and Engineering Systems. Lecture Notes in Electrical Engineering, vol 234. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6747-2_87

Download citation

  • DOI: https://doi.org/10.1007/978-1-4614-6747-2_87

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6746-5

  • Online ISBN: 978-1-4614-6747-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics