Skip to main content
Log in

Accuracy of the Sampling Moiré Method and its Application to Deflection Measurements of Large-Scale Structures

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

Measuring accurate displacement distributions for large-scale structures is an important issue and a very challenging task. Recently, a simple and accurate phase measurement technique called sampling moiré method [Exp Mech 50–4:501–508, (2010)] has been developed for small-displacement distribution measurements. In this method, the phase distribution of moiré fringes can be analyzed from a single grating image by simultaneously performing down-sampling image processing and intensity-interpolation to generate multiple phase-shifted moiré fringe images. In addition, the phase of the original grating can also be obtained from the phase of the moiré fringe by adding the phase of the sampling grating. In this study, the measurement accuracy of the sampling moiré method was analyzed through computer simulations and a displacement measurement experiment. Four factors of the sampling moiré method were investigated, including the sampling pitch, the order of the intensity-interpolation, random noise, and the form of grating. The results show that determining the optimal sampling pitch is an important factor for obtaining better results but it is not critical. In addition, a practical application of the sampling moiré method is presented that involves a deflection measurement on a 10-meter-long crane. The experimental results demonstrate that submillimeter deflections of the crane can be successfully detected.

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

Access this article

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

Instant access to the full article PDF.

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

Similar content being viewed by others

References

  1. Xu L, Guo JJ, Jaing JJ (2002) Time-frequency analysis of a suspension bridge based on GPS. J Sound Vib 254–1:105–116

    Article  Google Scholar 

  2. Nassift HH, Gindy M, Davis J (2005) Comparison of laser Doppler vibrometer with contact sensors for monitoring bridge deflection and vibration. NDT&E Int 38:213–218

    Article  Google Scholar 

  3. Burch JM, Forno C (1975) A high sensitivity moiré grid technique for studing deformation in large objects. Opt Eng 14:178–185

    Google Scholar 

  4. Avril S, Vautrin A, Surrel Y (2004) Grid method: application to the characterization of cracks. Exp Mech 44–1:37–43

    Article  Google Scholar 

  5. Steinbichler H, Engelsberger J, Sixt W, Sun J, Franz T (1990) Application of computer-aided evaluation for holography and similar techniques. Opt Lasers Eng 13:39–50

    Article  Google Scholar 

  6. Trolinger JD, Weber DC, Pardoen GC, Gunnarsson GT, Fagan WF (1991) Application of long-range holography in earthquake enginerring. Opt Eng 30–9:1315–1319

    Article  Google Scholar 

  7. Maji AK, Satpathi D, Zawaydeh S (1997) Assessment of electronic shearography for structural inspection. Exp Mech 37–2:197–204

    Article  Google Scholar 

  8. Wahbeh AM, Caffrey JP, Masri SF (2003) A vision-based approach for the direct measurement of displacements in vibrating systems. Smart Mater Struct 12:785–794

    Article  Google Scholar 

  9. Lee JJ, Shinozuka M (2006) A vision-based system for remote sensing of bridge displacement. NDT&E Int 39:425–432

    Article  Google Scholar 

  10. Sutton MA, Cheng M, Peters WH, Chao YJ, McNeil SR (1986) Application of an optimized digital correlation method to planar deformation analysis. Image Vis Comput 4–3:143–150

    Article  Google Scholar 

  11. Yoneyama S, Kitagawa A, Iwata S, Tani K, Kikuta H (2007) Bridge deflection measurement using digital image correlation. Exp Tech 31(1):34–40

    Article  Google Scholar 

  12. Takeda M, Ina H, Kobayashi S (1982) Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry. J Opt Soc Am 72–1:156–160

    Article  Google Scholar 

  13. Kujawinska M, Wojciak I (1991) Spatial-carrier phase-shifting technique of fringe pattern analysis. Proc SPIE 1508:61–67

    Article  Google Scholar 

  14. Chan PH, Bryanston-Cross PJ (1995) Spatial phase stepping method of fringe-pattern analysis. Opt Lasers Eng 23:343–354

    Article  Google Scholar 

  15. Arai Y, Yokozeki S, Shiraki K, Yamada T (1997) High precision two-dimensional spatial fringe analysis method. J Mod Opt 44–4:739–751

    Article  Google Scholar 

  16. Kemao Q (2007) Two-dimensional windowed Fourier transform for fringe pattern analysis: principles, applications and implementations. Opt Lasers Eng 45:304–317

    Article  Google Scholar 

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

    Article  Google Scholar 

  18. Morimoto Y, Fujigaki M, Masaya A, Kondo H, Inuzuka T (2009) Accurate displacement measurement for landslide prediction by sampling moiré method. Adv Mater Res 79–82:1731–1734

    Article  Google Scholar 

  19. Ri S, Muramatsu T (2010) A simple technique for measuring thickness distribution of transparent plates from a single image by using the sampling moiré method. Meas Sci Technol 21–2:025305 (8pp)

    Article  Google Scholar 

  20. Morimoto Y, Fujisawa M (1994) Fringe pattern analysis by a phase-shifting method using Fourier transform. Opt Eng 33–11:3709–3714

    Article  Google Scholar 

  21. Brophy CP (1990) Effect of intensity error correlation on the computed phase of phase-shifting interferometry. J Opt Soc Am A 7–4:537–541

    Article  Google Scholar 

  22. Zhao B, Surrel Y (1997) Effect of quantization error on the computed phase of phase-shifting measurements. Appl Opt 36–10:2070–2075

    Article  Google Scholar 

  23. Gordon WJ, Riesenfeld RF (1974) B-spline curves and surfaces. In: Barnhill RE, Riesenfeld RF (eds) Computer aided geometric design. Academic Press, 95–126

  24. Hughes TJR, Cottrell JA, Bazilevs Y (2005) Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Comput Meth Appl Mech Engrg 194:4135–4195

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Ri.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ri, S., Muramatsu, T., Saka, M. et al. Accuracy of the Sampling Moiré Method and its Application to Deflection Measurements of Large-Scale Structures. Exp Mech 52, 331–340 (2012). https://doi.org/10.1007/s11340-011-9491-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11340-011-9491-2

Keywords

Navigation