PSI - Issue 17

Pedro J. Sousa et al. / Procedia Structural Integrity 17 (2019) 835–842 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

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It should be noted that the rigid rotation of the support is significant and is a source of issues. Nonetheless, it was possible to remove its influence in the results using a best-fit least-squares procedure. From the performed analysis, it was verified that the displacement behavior of the carrier is uniform, while the PCB itself shows a non-uniform behavior. As future work, and in order to ascertain the causes of this distinct behavior, the same evaluations could be carried out in steps, starting with a simplified case and ending with the real one.

Acknowledgements

The authors gratefully acknowledge the funding of Project NORTE-01-0145-FEDER-000022 - SciTech - Science and Technology for Competitive and Sustainable Industries, co-financed by Programa Operacional Regional do Norte (NORTE2020) through Fundo Europeu de Desenvolvimento Regional (FEDER). Pedro J. Sousa gratefully acknowledges the FCT ("Fundação para a Ciência e a Tecnologia") for the funding of the PhD scholarship SFRH/BD/129398/2017. Pedro Moreira and Paulo Tavares further acknowledge FEDER through Programa Operacional Competitividade e Internacionalização – Compete2020 and Fundos Nacionais through FCT – Fundação para a Ciência e a Tecnologia through project PTDC/EME-EME/29339/2017 - Monitorização Multiescala de Fendas. [1] L. Yang, X. Xie, L. Z hu, S. Wu, and Y. Wang, “Review of electronic speckle pattern interferometry (ESPI) for three dimensional displacement measurement,” Chinese J. Mech. Eng. , vol. 27, no. 1, pp. 1 – 13, 2014. [2] M. J. Huang and B. S. Yun, “Self -marking phase-stepping electronic speckle pattern interferometry (ESPI) for determining a phase map with least residues,” Opt. Laser Technol. , vol. 39, no. 1, pp. 136 – 148, 2007. [3] K. Creath, “Phase - shifting speckle interferometry,” Appl. Opt. , vol. 24, no. 18, pp. 3053 – 3058, 1985. [4] J. N. Butters, “Application of ESPI to NDT,” Opt. Laser Technol. , vol. 9, no. 3, pp. 117 – 123, Jun. 1977. [5] L. Lasyk, M. Lukomski, and L. Bratasz, “Simple electronic speckle pattern interferometer (ESPI) for the investigation of wood en art objects,” Proc. Int. Conf. held by COST Action IE0601 Braga (Portugal), 5-7 Novemb. 2008 , pp. 209 – 213, 2010. [6] J. L. Valin Rivera et al. , “Proposal for underwater structural analysis using the techniques of ESPI and digital holography,” Opt. Lasers Eng. , vol. 47, no. 11, pp. 1139 – 1144, Nov. 2009. [7] B. V. Farahani, P. J. Sousa, F. Barros, P. J. Tavares, and P. M. G. P. Moreira, “Advanced image based methods for structural integrity monitoring: Review and prospects,” in AIP Conference Proceedings , 2018, vol. 1932, p. 030026. [8] A. Zanarini, “ESPI measurements in structural dynamics: fatigue life assessment,” Proc. Dantec Dyn. Int. Conf. User Meet. Sept. 22-23, Ulm, Ger. , no. November, pp. 1 – 20, 2008. [9] L. M. P. Campos, D. F. Parra, M. R. Vasconcelos, M. Vaz, and J . Monteiro, “DH and ESPI laser interferometry applied to the restoration shrinkage assessment,” Radiat. Phys. Chem. , vol. 94, pp. 190 – 193, Jan. 2014. [10] M. Grediac and F. Hild, Full-Field Measurements and Identification in Solid Mechanics . London: Wiley-ISTE, 2012. [11] P. Carre, “Installation et utilisation du comparateur photoelectrique et interferentiel du Bureau International des Poids et Mesures,” Metrologia , vol. 2, no. 1, p. 13, 1966. [12] X. Wu, “Interference phase calculation from fringes - File Exchange - MATLAB Central,” 2014. [Online]. Available: https://www.mathworks.com/matlabcentral/fileexchange/46293-interference-phase-calculation-from-fringes-zip. [Accessed: 24-May-2018]. [13] Q. Kemao, “Windowed Fourier transform for fringe pattern analysis - File Exchange - MATLAB Central,” 2009. [Online]. Available: https://www.mathworks.com/matlabcentral/fileexchange/24852-windowed-fourier-transform-for-fringe-pattern-analysis. [Accessed: 08-Jun 2018]. [14] Q. Kemao, “Two -dimensional windowed Fourier transform for fring e pattern analysis: Principles, applications and implementations,” Opt. Lasers Eng. , vol. 45, no. 2, pp. 304 – 317, Feb. 2007. [15] Q. Kemao, “Windowed Fourier transform for fringe pattern analysis,” Appl. Opt. , vol. 43, no. 13, p. 2695, May 2004. [16] Q. Ke mao, H. Wang, and W. Gao, “Windowed Fourier transform for fringe pattern analysis: theoretical analyses,” Appl. Opt. , vol. 47, no. 29, p. 5408, Oct. 2008. [17] P. J. Sousa, J. M. R. S. Tavares, P. J. S. Tavares, and P. M. G. P. Moreira, “Correction of rigi d body motion in deformation measurement of rotating objects,” Measurement , vol. 129, no. December, pp. 436 – 444, Jul. 2018. [18] C. W. Spoor and F. E. Veldpaus, “Rigid body motion calculated from spatial co - ordinates of markers,” J. Biomech. , vol. 13, no. 4, pp. 391 – 393, 1980. [19] F. E. Veldpaus, H. J. Woltring, and L. J. M. G. Dortmans, “A least -squares algorithm for the equiform transformation from spatial marker co- ordinates,” J. Biomech. , vol. 21, no. 1, pp. 45 – 54, 1988. [20] W. C. Rose and J. G. Richa rds, “Estimating Body Segment Motion by Tracking Markers,” J. Chem. Inf. Model. , vol. 53, no. 9, pp. 1689 – 1699, 2012. References