Abstract
In order to evaluate the feasibility of multi-point, non-contact, acceleration measurement, a high-speed, precision videogrammetry system has been assembled from commercially-available components and software. Consisting of three synchronized 640 × 480 pixel monochrome progressive scan CCD cameras each operated at 200 frames per second, this system has the capability to provide surface-wide position-versus-time data that are filtered and twice-differentiated to yield the desired acceleration tracking at multiple points on a moving body. The oscillating motion of targets mounted on the shaft of a modal shaker were tracked, and the accelerations calculated using the videogrammetry data were compared directly to conventional accelerometer measurements taken concurrently. Although differentiation is an inherently noisy operation, the results indicate that simple mathematical filters based on the well-known Savitzky and Golay algorithms, implemented using spreadsheet software, remove a significant component of the noise, resulting in videogrammetry-based acceleration measurements that are comparable to those obtained using the accelerometers.
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References
Denoyer KK, Flint EM, Main JA, Lindler J (2003) Actively controlled thin-shell space optics. Proc SPIE Int Soc Opt Eng 5054:263–274
Dharamsi UK, Evanchik DM, Blandino JR (2002) Comparing photogrammetry with a conventional displacement measurement technique on a square kapton membrane. Paper 2002–1258, Proceedings of the 3rd AIAA Gossamer Structures Forum, Denver, CO
Jenkins CH, Haugen F, Spicher WH (1998) Experimental measurement of wrinkling in membranes undergoing planar deformation. Exp Mech 38(2):147–152
Schmidt T, Tyson J, Galanulis K (2003) Dynamic strain measurement using advanced 3D photogrammetry. Proceedings of IMAC XXIII: The 21st International Modal Analysis Conference, Orlando, FL
Black JT, Pappa RS (2003) Videogrammetry using projected circular targets: proof-of-concept test. NASA/TM-2003-212148
Kay IW, Zobel EC (1973) Simplified three-dimensional photogrammetric analysis of moving bodies. Paper 730278, Society of Automotive Engineers International Automotive Engineering Congress, Detroit, MI
Miller NR, Shapiro R, McLaughlin TM (1980) A technique for obtaining spatial kinematic parameters of segments of biomechanical systems from cinematographic data. J Biomech 13:535–547
Mesqui F, Niederer P, Schlumpf M, Lehareinger Y, Walton J (1984) Semi-automatic reconstruction of the spatial trajectory of an impacted pedestrian surrogate using high-speed cinephotogrammetry and digital image analysis. J Biomech Eng 106:357–359
Leifer J, Black JT, Smith SW, Ma N, Lumpp JK (2007) Measurement of in-plane motion of thin-film structures using videogrammetry. AIAA J Spacecr Rocket 44:1317–1325
Mikhail EM, Bethel JS, McGlone JC (2001) Introduction to modern photogrammetry. Wiley, New York
Anonymous (2006) PhotoModeler version 6 users’ manual. Eos Systems, Vancouver
Alexander MJL, Colbourne J (1980) A method of determination of the angular velocity vector of a limb segment. J Biomech 13:1089–1093
Palm WJ III (2005) Introduction to MATLAB 7 for engineers. McGraw-Hill, New York
Griffiths DV, Smith IM (2006) Numerical methods for engineers. CRC, Boca Raton, p 221
Kienle SC, Sims AM, Leifer J (2008) Full-field acceleration measurement using videogrammetry. Proceedings of IMAC XXVI: The 26th International Modal Analysis Conference, Orlando, FL
Smith SW (2002) Digital signal processing: A practical guide for engineers and scientists. Newnes. Also available at www.dspguide.com (accessed 22 FEB 2010)
Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1992) Numerical recipes in FORTRAN: the art of scientific computing, 2nd edn. Cambridge University Press, Cambridge
Savitzky A, Golay MJE (1964) Smoothing and differentiation of data by simplified least squares procedures. Anal Chem 36:1627–1639
Steiner J, Termonia Y, Deltour J (1972) Comments on smoothing and differentiation of data by simplified least square procedure. Anal Chem 44:1906–1909
Persson P-O, Strang G (2003) Smoothing by Savitzky-Golay and Legendre filters. Mathematical systems theory in biology, communications, computation and finance. The IMA Vol. Math. Appl., 134:301–315, Springer, NY
Acknowledgements
The authors are grateful for support through Trinity University’s Howard Hughes Medical Institute (HHMI) program, as well as the Trinity University Office of Academic Affairs. Additional support was provided through the William Liston Zander Faculty Fellowship for Summer Research.
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Leifer, J., Weems, B.J., Kienle, S.C. et al. Three-Dimensional Acceleration Measurement Using Videogrammetry Tracking Data. Exp Mech 51, 199–217 (2011). https://doi.org/10.1007/s11340-010-9352-4
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DOI: https://doi.org/10.1007/s11340-010-9352-4