In-Plane Movement Measurement Technique Using Digital Sampling Moiré Method
Publication: Journal of Bridge Engineering
Volume 24, Issue 4
Abstract
Digital sampling moiré (DSM) method is a vision-based technique that uses phase differences of the moiré fringes to measure two-dimensional (2D) translations. However, it assumes no in-plane rotation is present, and its accuracy would be affected if rotation is involved with translation. To decompose translation and rotation, we propose an enhanced DSM (EDSM) method in this study. First, the EDSM method used the derivatives of phase values to calculate the in-plane rotation angle, and then employed the 2D rigid transformation algorithm to compute the translation. We performed laboratory tests to compare the proposed EDSM method with the DSM method and the photogrammetric method using the Harris corner detector. The results revealed that the EDSM method outperforms the DSM method when rotation is applied in the motion, and the EDSM method is more robust to the image scaling factor compared with the photogrammetric method. To verify its applicability, we then applied the EDSM method to track displacements of a steel beam and a bamboo bridge. This study provides an accurate and robust method for structures’ in-plane motion measurement.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This study was partly supported by Hong Kong Research Grants CERG 611112. We also thank M.Phil. student Mr. Nischal Pradhan for his contribution in the construction and the experimental test of the bamboo bridge.
References
Balageas, D., C.-F. Fritzen, and A. Güemes, eds. 2006. Structural health monitoring. London: ISTE.
Baqersad, J., P. Poozesh, C. Niezrecki, and P. Avitabile. 2017. “Photogrammetry and optical methods in structural dynamics—A review.” Mech. Syst. Sig. Process. 86 (Part B): 17–34. https://doi.org/10.1016/j.ymssp.2016.02.011.
Catbas, F. N., M. Gul, R. Zaurin, H. B. Gokce, T. Terrell, T. Dumlupinar, and D. Maier. 2010. Long term bridge maintenance monitoring demonstration on a movable bridge: A framework for structural health monitoring of movable bridges. Final rep. for contract BD-548-23. Tallahassee, FL: FDOT.
Chang, C. C., and Y. F. Ji. 2007. “Flexible videogrammetric technique for three-dimensional structural vibration measurement.” J. Eng. Mech. 133 (6): 656–664. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:6(656).
Chang, C. C., and X. H. Xiao. 2010. “Three-dimensional structural translation and rotation measurement using monocular videogrammetry.” J. Eng. Mech. 136 (7): 840–848. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000127.
Choi, Y. B., and S.-W. Kim. 1998. “Phase-shifting grating projection moiré topography.” Opt. Eng. 37 (3): 1005–1010. https://doi.org/10.1117/1.601934.
Ciang, C. C., J.-R. Lee, and H.-J. Bang. 2008. “Structural health monitoring for a wind turbine system: A review of damage detection methods.” Meas. Sci. Technol. 19 (12): 1–20. https://doi.org/10.1088/0957-0233/19/12/122001.
de Myttenaere, A., B. Golden, B. Le Grand, and F. Rossi. 2016. “Mean absolute percentage error for regression models.” Neurocomput. 192: 38–48. https://doi.org/10.1016/j.neucom.2015.12.114.
Forno, C., S. Brown, R. A. Hunt, A. M. Kearney, and S. Oldfield. 1991. “The measurement of deformation of a bridge by Moirè photography and photogrammetry.” Strain 27 (3): 83–87. https://doi.org/10.1111/j.1475-1305.1991.tb00761.x.
Fujigaki, M., A. Masaya, K. Shimo, and Y. Morimoto. 2011. “Dynamic shape and strain measurements of rotating tire using a sampling moiré method.” Opt. Eng. 50 (10): 101506–101508. https://doi.org/10.1117/1.3579525.
Gencturk, B., K. Hossain, A. Kapadia, E. Labib, and Y.-L. Mo. 2014. “Use of digital image correlation technique in full-scale testing of prestressed concrete structures.” Meas. 47: 505–515. https://doi.org/10.1016/j.measurement.2013.09.018.
Hara, T., M. Nakabo, and M. Fujigaki. 2014. “Dynamic deformation measurement of real bridge using sampling moire camera.” In IEEE Conf. Anthology, 1–6. Piscataway, NJ: IEEE.
Joenathan, C., B. Franze, P. Haible, and H. J. Tiziani. 1998. “Speckle interferometry with temporal phase evaluation for measuring large-object deformation.” Appl. Opt. 37 (13): 2608–2614. https://doi.org/10.1364/AO.37.002608.
Jurjo, D. L. B. R., C. Magluta, N. Roitman, and P. B. Gonçalves. 2010. “Experimental methodology for the dynamic analysis of slender structures based on digital image processing techniques.” Mech. Syst. Signal Process. 24 (5): 1369–1382. https://doi.org/10.1016/j.ymssp.2009.12.006.
Knecht, A., and L. Manetti, 2001. “Using GPS in structural health monitoring.” In Vol. 4328 of Proc., 8th Annual Int. Symp. on Smart Structures and Materials, 122–129. Bellingham, WA: SPIE.
Kulkarni, R., S. S. Gorthi, and P. Rastogi. 2014. “Measurement of in-plane and out-of-plane displacements and strains using digital holographic moiré.” J. Mod. Opt. 61 (9): 755–762. https://doi.org/10.1080/09500340.2014.911982.
Lay, Y. L., and W. Y. Chen. 1998. “Rotation measurement using a circular moiré grating.” Opt. Laser Technol. 30 (8): 539–544. https://doi.org/10.1016/S0030-3992(99)00009-2.
Lee, H., and H. Rhee. 2013. “3-D measurement of structural vibration using digital close-range photogrammetry.” Sens. Actuators, A 196: 63–69. https://doi.org/10.1016/j.sna.2013.03.010.
Moré, J. J. 1977. The Levenberg-Marquardt algorithm: Implementation and theory.” In Conf., Numerical Analysis, edited by G. A. Watson, 105–116. Heidelberg, Germany: Springer.
Morimoto, Y., and T. Hayashi. 1984. “Deformation measurement during powder compaction by a scanning-moire method.” Exp. Mech. 24 (2): 112–116. https://doi.org/10.1007/BF02324992.
Nakabo, M., M. Fujigaki, Y. Morimoto, Y. Sasatani, H. Kondo, and T. Hara. 2011. “Development of sampling moire camera for landslide prediction by small displacement measurement.” In Conf. Proc., Society for Experimental Mechanics Series, 323–330. Heidelberg, Germany: Springer.
Olaszek, P. 1999. “Investigation of the dynamic characteristic of bridge structures using a computer vision method.” Meas. 25 (3): 227–236. https://doi.org/10.1016/S0263-2241(99)00006-8.
Paraskeva, T. S., G. Grigoropoulos, and E. G. Dimitrakopoulos. 2017. “Design and experimental verification of easily constructible bamboo footbridges for rural areas.” Eng. Struct. 143: 540–548. https://doi.org/10.1016/j.engstruct.2017.04.044.
Ri, S., M. Fujigaki, and Y. Morimoto. 2010. “Sampling moiré method for accurate small deformation distribution measurement.” Exp. Mech. 50 (4): 501–508. https://doi.org/10.1007/s11340-009-9239-4.
Ri, S., T. Muramatsu, M. Saka, K. Nanbara, and D. Kobayashi. 2012. “Accuracy of the sampling moiré method and its application to deflection measurements of large-scale structures.” Exp. Mech. 52 (4): 331–340. https://doi.org/10.1007/s11340-011-9491-2.
Ri, S., M. Saka, K. Nanbara, and D. Kobayashi. 2013. “Dynamic thermal deformation measurement of large-scale, high-temperature piping in thermal power plants utilizing the sampling moiré method and grating magnets.” Exp. Mech. 53 (9): 1635–1646. https://doi.org/10.1007/s11340-013-9761-2.
Schmidt, T., J. Tyson, and K. Galanulis. 2003. “Full-field dynamic displacement and strain measurement using advanced 3d image correlation photogrammetry: Part 1.” Exp. Tech. 27 (3): 47–50. https://doi.org/10.1111/j.1747-1567.2003.tb00115.x.
Thong, Y. K., M. S. Woolfson, J. A. Crowe, B. R. Hayes-Gill, and D. A. Jones. 2004. “Numerical double integration of acceleration measurements in noise.” Meas. 36 (1): 73–92. https://doi.org/10.1016/j.measurement.2004.04.005.
Wahbeh, A. M., J. P. Caffrey, and S. F. Masri. 2003. “A vision-based approach for the direct measurement of displacements in vibrating systems.” Smart Mater. Struct. 12 (5): 785–794. https://doi.org/10.1088/0964-1726/12/5/016.
Wakefield, R. R., A. S. Nazmy, and D. P. Billington. 1991. “Analysis of seismic failure in skew RC bridge.” J. Struct. Eng. 117 (3): 972–986. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:3(972).
Wang, Q., S. Ri, H. Tsuda, M. Koyama, and K. Tsuzaki. 2017. “Two-dimensional Moiré phase analysis for accurate strain distribution measurement and application in crack prediction.” Opt. Express 25 (12): 13465–13480. https://doi.org/10.1364/OE.25.013465.
Warren, C., C. Niezrecki, P. Avitabile, and P. Pingle. 2011. “Comparison of FRF measurements and mode shapes determined using optically image based, laser, and accelerometer measurements.” Mech. Syst. Signal Process. 25 (6): 2191–2202. https://doi.org/10.1016/j.ymssp.2011.01.018.
Xu, L., J. J. Guo, and J. J. Jiang. 2002. “Time–frequency analysis of a suspension bridge based on GPS.” J. Sound Vib. 254 (1): 105–116. https://doi.org/10.1006/jsvi.2001.4087.
Yokozeki, S., Y. Kusaka, and K. Patorski. 1976. “Geometric parameters of moiré fringes.” Appl. Opt. 15 (9): 2223–2227. https://doi.org/10.1364/AO.15.002223.
Zanarini, A. 2014. “On the estimation of frequency response functions, dynamic rotational degrees of freedom and strain maps from different full field optical techniques.” In Proc., ISMA2014 Int. Conf. on Noise and Vibration Engineering, 15–17. Leuven, Belgium: Dept. of Mechanical Engineering of the KU Leuven.
Information & Authors
Information
Published In
Journal of Bridge Engineering
Volume 24 • Issue 4 • April 2019
Copyright
© 2019 American Society of Civil Engineers.
History
Received: Apr 4, 2018
Accepted: Sep 24, 2018
Published online: Feb 1, 2019
Published in print: Apr 1, 2019
Discussion open until: Jul 1, 2019
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.