Skip to main content

Vibration Modal Analysis by High-Speed and Accurate Shape Measurement Using One-Pitch Phase Analysis Method

  • Conference paper
  • First Online:

Abstract

To protect vibration of structures, vibration modal analysis is important. Conventional experimental vibration analysis method uses accelerometers or laser displacement meters. The analysis takes much time and troublesome work. Especially, by contacting accelerometers to objects the results of frequency mode have some errors because of contact of the accelerometer weight. The authors have previously proposed a new method for shape measurement, i.e. the one-pitch phase analysis (OPPA) method using moiré topography. In moiré topography, the number of pixels for one pitch is constant regardless of the object height. The OPPA method analyzes the phase of each pixel in a single-shot image by using brightness data from one pitch of a projected grating. A motion capture system has been previously developed using OPPA method and measured the 3D coordinates at every pixel of the surface of a human body. In this study, the OPPA method is applied to vibration modal analysis of a cantilever plate using a high-speed camera. This method is useful for inspection of automobiles, machines, buildings, etc. without contact, in a short time.

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

Buying options

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

Learn about institutional subscriptions

References

  1. Morimoto, Y., Masaya, A., Ueki, M.: High-speed 3D shape measurement by one pitch phase analysis method using brightness values in small square area of one-shot image. Opt. Lasers Eng. (2018) (submitted)

    Google Scholar 

  2. Bruning, J.H., Herriott, D.R., Gallagher, J.E., Rosenfeld, D.P., White, A.D., Brangaccio, D.J.: Digital wave front measuring interferometer for testing optical surface and lenses. Appl. Opt. 13(11), 2693–2703 (1974)

    Article  Google Scholar 

  3. Takeda, M., Mutoh, K.: Fourier transform profilometry for the automatic measurement of 3-D object shapes. Appl. Opt. 22(24), 3977–3982 (1983)

    Article  Google Scholar 

  4. Huang, L., Kemao, Q., Pan, B., Asundi, A.K.: Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry. Opt. Lasers Eng. 48(2), 141–148 (2010)

    Article  Google Scholar 

  5. Ri, S., Fujigaki, M., Morimoto, Y.: Sampling Moiré method for accurate small deformation distribution measurement. Exp. Mech. 50(4), 501–508 (2010)

    Article  Google Scholar 

  6. Gu, R., Yoshizawa, T.: Talbot projected 3-D profilometry by means of one step phase-shift algorithms. In: Proceedings of SPIE 1720, International Symposium on Optical Fabrication, Testing, and Surface Evaluation (1992). https://doi.org/10.1117/12.132157

    Chapter  Google Scholar 

  7. Arai, Y., Kurata, T.: High-speed Moiré topography with high precision using a technique with a fringe scanning interferometer. Jpn. J. Opt. 15(5), 402–406 (1986). in Japanese

    Google Scholar 

  8. Morimoto, Y., Kusunoki, Y., Ueki, M., Masaya, A., Takagi, A.: One-pitch phase analysis method for grating and its application to shape analysis of vibrating object. In: International Conference on Computational & Experimental Engineering and Sciences (ICCES’15), 2015

    Google Scholar 

  9. Morimoto, Y., Kusunoki, Y., Ueki, M., Takagi, A., Masaya, A.: Dynamic deformation measurement by one-pitch phase analysis (OPPA) method. In: 11th ISEM’16-Ho Chi Minh, Vietnam, 2-4 November 2016

    Google Scholar 

  10. Morimoto, Y., Fujigaki, M., Toda, H.: Real-time shape measurement by integrated phase-shifting method. In: Proceedings of SPIE. vol. 374, pp. 118–125 (1999)

    Google Scholar 

  11. Zhang, S.: Recent progresses on real-time 3D shape measurement using digital fringe projection techniques. Opt. Lasers Eng. 48(2), 149–158 (2010)

    Article  Google Scholar 

  12. Wang, Z.Z., Yang, Y.M.: Single-shot three-dimensional reconstruction based on structured light line pattern. Opt. Lasers Eng. 106, 10–16 (2018)

    Article  Google Scholar 

  13. Fujigaki, M.: Real-time and wide-range 3D shape measurement using linear LED fringe projector. In: 2nd International Conference on Opto-Electronics and Applied Optics (IEM OPTRONIX), vol. 015, pp. 1–5 (2015). https://doi.org/10.1109/OPTRONIX.2015.7345513

Download references

Acknowledgements

The work in this paper was supported by many members of 4D Sensor Inc. The author appreciates Dr. A. Masaya, Mr. Y. Irino, Mr. Q. Quarles, Mr. A. Horn, Mr. I. Harker and, Mr. S. Seles and to their contributions, and Prof. H. Koike of Okayama University to his advice.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yoshiharu Morimoto .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 The Society for Experimental Mechanics, Inc.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Morimoto, Y., Takagi, A., Ueki, M., Pirsig, L. (2019). Vibration Modal Analysis by High-Speed and Accurate Shape Measurement Using One-Pitch Phase Analysis Method. In: Lamberti, L., Lin, MT., Furlong, C., Sciammarella, C., Reu, P., Sutton, M. (eds) Advancement of Optical Methods & Digital Image Correlation in Experimental Mechanics, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-97481-1_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-97481-1_14

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-97480-4

  • Online ISBN: 978-3-319-97481-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics