Skip to main content

Operational Modal Analysis of Rotating Structures Under Ambient Excitation Using Tracking Continuously Scanning Laser Doppler Vibrometry

  • Conference paper
  • First Online:
Rotating Machinery, Optical Methods & Scanning LDV Methods, Volume 6

Abstract

A continuously scanning laser Doppler vibrometer (CSLDV) system is capable of rapidly obtaining spatially dense vibration measurement by continuously sweeping its laser spot along a path on a structure surface. This paper presents a new operational modal analysis (OMA) method for a rotating structure based on a rigorous rotating beam vibration theory, an image processing method, and a data processing method called the lifting method. A novel tracking CSLDV (TCSLDV) system was developed in this work to track and scan a rotating structure, and the real-time position of the rotating structure can be determined by image processing so that the TCSLDV system is capable of tracking a time-varying scan path on the rotating structure. The lifting method can transform raw TCSLDV measurement into measurements at multiple virtual measurement points as if they were measured by transducers attached to these measurement points. Modal parameters of the rotating structure with a constant speed, including damped natural frequencies, undamped mode shapes, and modal damping ratios, and operating deflection shapes (ODSs) of the structure with a constant or prescribed time-varying rotation speed can be determined by calculating and analyzing correlation functions with non-negative time delays among measurements at virtual measurement points. Experimental investigation is conducted using the TCSLDV system to study the OMA method with which modal parameters and an ODS of a rotating fan blade with different constant speeds, as well as an ODS of the rotating fan blade with a non-constant speed, are successfully estimated.

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 229.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 299.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 299.99
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. Ewins, D.J.: Modal Testing: Theory, Practice and Application, 2nd edn. Research Studies Press, Hertfordshire, UK (2000)

    Google Scholar 

  2. Xu, Y.F., Zhu, W.D.: Efficient and accurate calculation of discrete frequency response functions and impulse response functions. J. Vib. Acoust. 138(3), 031003 (2016)

    Article  Google Scholar 

  3. Xu, Y.F., Liu, J., Zhu, W.D.: Accurate and efficient calculation of discrete correlation functions and power spectra. J. Sound Vib. 347, 246–265 (2015)

    Article  Google Scholar 

  4. James, G., Carne, T.G., Lauffer, J.P.: The natural excitation technique (NExT) for modal parameter extraction from operating structures. Modal Anal. 10(4), 260–277 (1995)

    Google Scholar 

  5. Siringoringo, D.M., Fujino, Y.: Noncontact operational modal analysis of structural members by laser Doppler vibrometer. Comput. Aided Civ. Inf. Eng. 24(4), 249–265 (2009)

    Article  Google Scholar 

  6. Rothberg, S., Allen, M., Castellini, P.: An international review of laser Doppler vibrometry: Making light work of vibration measurement. Opt. Lasers Eng. 99(1), 11–22 (2017)

    Article  Google Scholar 

  7. Chen, D.M., Xu, Y.F., Zhu, W.D.: Damage identification of beams using a continuously scanning laser Doppler vibrometer system. J. Vib. Acoust. 138(5), 05011 (2016)

    Google Scholar 

  8. Stanbridge, A., Ewins, D.: Modal testing using a scanning laser Doppler vibrometer. Mech. Syst. Signal Process. 13(2), 255–270 (1999)

    Article  Google Scholar 

  9. Allen, M.S., Sracic, M.W.: A new method for processing impact excited continuous-scan laser Doppler vibrometer measurements. Mech. Syst. Signal Process. 24(3), 721–735 (2010)

    Article  Google Scholar 

  10. Stanbridge, A., Ewins, D., Khan, A.: Modal testing using impact excitation and a scanning LDV. Shock. Vib. 7(2), 91–100 (2000)

    Article  Google Scholar 

  11. Chen, D.M., Xu, Y.F., Zhu, W.D.: Experimental investigation of notch-type damage identification with a curvature-based method by using a continuously scanning laser Doppler vibrometer system. J. Nondestruct. Eval. 36, 38 (2017)

    Article  Google Scholar 

  12. Chen, D.M., Xu, Y.F., Zhu, W.D.: Identification of damage in plates using full-field measurement with a continuously scanning laser Doppler vibrometer system. J. Sound Vib. 422, 542–567 (2018)

    Article  Google Scholar 

  13. Xu, Y.F., Chen, D.M., Zhu, W.D.: Damage identification of beam structures using free response shapes obtained by use of a continuously scanning laser Doppler vibrometer system. Mech. Syst. Signal Process. 92, 226–247 (2017)

    Article  Google Scholar 

  14. Yang, S., Allen, M.S.: Output-only modal analysis using continuous-scan laser Doppler vibrometry and application to a 20kw wind turbine. Mech. Syst. Signal Process. 31, 228–245 (2012)

    Article  Google Scholar 

  15. Wereley, N.M., Hall, S.R.: Frequency response of linear time periodic systems. In: 29th IEEE Conference on Decision and Control, Honolulu, HI, USA, vol. 6, pp. 3650–3655 (1990)

    Chapter  Google Scholar 

  16. Yang, S., Allen, M.S.: Lifting approach to simplify output-only continuous-scan laser vibrometry. Mech. Syst. Signal Process. 45(2), 267–282 (2014)

    Article  Google Scholar 

  17. Xu, Y.F., Chen, D.M., Zhu, W.D.: Operational modal analysis using lifted continuously scanning laser Doppler vibrometer measurements and its application to baseline-free structural damage identification. J. Vib. Control. 25(7), 1341–1364 (2019)

    Article  MathSciNet  Google Scholar 

  18. Gasparoni, A., Allen, M., Yang, S., Sracic, M., Castellini, P., Tomasini, E.: Experimental modal analysis on a rotating fan using tracking-CSLDV. In: AIP Conference Proceedings, vol. 60, (2010). https://doi.org/10.1063/1.3455482

    Chapter  Google Scholar 

  19. Khalil, H., Kim, D., Nam, J., Park, K.: Operational deflection shape of rotating object using tracking laser Doppler vibrometer. In: 2015 IEEE International Conference on Electronics, Circuits, and Systems (ICECS), Cairo, pp. 693–696 (2015)

    Chapter  Google Scholar 

  20. Zhu, W.D., Mote Jr., C.D.: Dynamic modeling and optimal control of rotating Euler-Bernoulli beams. ASME. J. Dyn. Syst. Meas. Control. 119(4), 802–808 (1997)

    Article  Google Scholar 

  21. Meirovitch, L.: Analytical Methods in Vibrations. The Macmillan Co, New York (1967)

    MATH  Google Scholar 

  22. Papoulis, A., Pillai, S.U.: Probability, Random Variables, and Stochastic Processes. Tata McGraw-Hill Education, New Delhi (2002)

    Google Scholar 

  23. Peeters, B., Van der Auweraer, H., Guillaume, P., Leuridan, J.: The PolyMAX frequency-domain method: A new standard for modal parameter estimation laser. Shock. Vib. 11(3–4), 395–409 (2004)

    Article  Google Scholar 

Download references

Acknowledgments

The authors are grateful for the financial support from the National Science Foundation through Grant No. CMMI-1763024. The authors would like to thank Daming Chen for some valuable discussion on the TCSLDV system.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to W. D. Zhu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Society for Experimental Mechanics, Inc.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Lyu, L.F., Zhu, W.D. (2022). Operational Modal Analysis of Rotating Structures Under Ambient Excitation Using Tracking Continuously Scanning Laser Doppler Vibrometry. In: Di Maio, D., Baqersad, J. (eds) Rotating Machinery, Optical Methods & Scanning LDV Methods, Volume 6. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-76335-0_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-76335-0_5

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-76334-3

  • Online ISBN: 978-3-030-76335-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics