Abstract
This paper demonstrates the use of broad-band phase based motion magnification (PMM) to improve the modal parameter estimation from high-speed stereoscopic digital image correlation (DIC). PMM is used as a diagnostic technique to investigate the free vibration response of a panel. The compliant panel, consisting of a thin polycarbonate sheet, forms a test section wall in a supersonic blow-down wind tunnel, where it is used to investigate supersonic fluid-structure interaction in the presence of shock wave boundary layer interaction. The panel is excited by an impact hammer and the transient deformation is captured using high-speed cameras. The original and motion-magnified images are input to a digital image correlation algorithm to calculate the out-of-plane deformation of the panel. The measured deformation is used to extract the modal parameters of the compliant panel. By using PMM as a preprocessing tool in a broad frequency band containing multiple structural modes, the signal to noise ratio of the measured deformation is improved. The use of PMM improves the estimated mode shapes, increasing the MAC value of the first mode compared to FEM predictions from 0.29 to 0.99. Motion magnification also improves the coherence between measured input force and panel deformation by up to 13% if suitable parameters are chosen.
Similar content being viewed by others
Data Availability
All data is available.
References
Dolling DS (2001) Fifty years of shock-wave/boundary-layer interaction research: What next? AIAA J 39(8):1517–1531. https://doi.org/10.2514/2.1476
Neet MC, Austin JM (2020) Effects of surface compliance on shock boundary layer interaction in the caltech mach 4 ludwieg tube. In: AIAA Scitech 2020 forum, pp 0816. https://doi.org/10.2514/6.2020-0816
Peltier SJ, Rice BE, Szmodis J, Ogg DR, Hofferth JW, Sellers ME, Harris AJ (2019) Aerodynamic response to a compliant panel in mach 4 flow. In: AIAA Aviation 2019 forum, pp 3541. https://doi.org/10.2514/6.2019-3541
Beberniss TJ, Ehrhardt D (2020) Visible light refraction effects on high-speed 3-dimensional digital image correlation measurement of a thin panel in mach 2 flow. In: International modal analysis conference 38
Spottswood S, Eason T, Beberniss T (2012) Influence of shock-boundary layer interactions on the dynamic response of a flexible panel. In: ISMA 2012 International conference on noise and vibration engineering. Katholieke Universiteit Leuven Leuven, Belgium, pp 603–617
Wadhwa N, Rubenstein M, Fredo D, Freeman WT (2013) Phase-based video motion processing. ACM Trans Graphics 32(4):80:1–80:10. https://doi.org/10.1145/2461912.2461966
Fleet DJ, Jepson AD (1990) Computation of component image velocity from local phase information. Int J Comput Vis 5:77–104. https://doi.org/10.1007/BF00056772
Harmanci YE, Gülan U, Holzner M, Chatzi E (2019) A novel approach for 3d-structural identification through video recording: magnified tracking. Sensors 19(5):1229. https://doi.org/10.3390/s19051229
Molina-viedma ÁJ, López-alba E, Felipe-sesé L, Díaz FA (2019) Operational deflection shape extraction from broadband events of an aircraft component using 3D-DIC, in magnified images. Shock Vib 2019:9. https://doi.org/10.1155/2019/4039862
Poozesh P, Sarrafi A, Mao Z, Avitabile P, Niezrecki C (2017) Feasibility of extracting operating shapes using phase-based motion magnification technique and stereo-photogrammetry. J Sound Vib 407:350–366. https://doi.org/10.1016/j.jsv.2017.06.003
Sarrafi A, Mao Z (2017) Wind turbine blade damage detection via 3-dimensional phase-based motion estimation. In: The 11th international workshop on structural health monitoring. https://doi.org/10.12783/shm2017/14154
Rohe DP (2020) Experimental modal analysis using phase quantities from phase-based motion processing and motion magnification. In: International modal analysis conference 38
Eitner MA, Miller BG, Sirohi J, Tinney CE (2019) Operational modal analysis of a thin-walled rocket nozzle using phase-based image processing and complexity pursuit. In: Niezrecki C, Baqersad J, Di Maio D (eds) Rotating machinery, optical methods & scanning LDV methods. Springer International Publishing, pp 19–29. https://doi.org/10.1007/978-3-030-12935-4_3
Simoncelli E, Freeman WT (1995) The steerable pyramid: a flexible architecture for multi-scale derivative computation. In: Proceedings of the 1995 international conference on image processing. https://doi.org/10.1109/ICIP.1995.537667
Stone JV (2001) Blind source separation using temporal predictability. Neural Comput 13 (7):1559–1574. https://doi.org/10.1162/089976601750265009
Antoni J, Castiglione R, Garibaldi L (2017) Interpretation and generalization of complexity pursuit for the blind separation of modal contributions. Mech Syst Signal Process 85:773–788. https://doi.org/10.1016/j.ymssp.2016.09.009
Eitner MA, Sirohi J, Tinney CE (2019) Modal parameter estimation of a reduced-scale rocket nozzle using blind source separation. Measurement Sci Technol 30(9):095401. https://doi.org/10.1088/1361-6501/ab228f
Yang Y, Dorn C, Mancini T, Talken Z, Kenyon G, Farrar C, Mascareñas D (2017) Blind identification of full-field vibration modes from video measurements with phase-based video motion magnification. Mech Syst Signal Process 85:567–590. https://doi.org/10.1016/j.ymssp.2016.08.041
Acknowledgements
The authors thank Jeremy Jagodzinski for assistance with the measurements.
Funding
The work was supported by the National Science Foundation under award #1913587.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interests
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Code availability
Custom Matlab code and DAVIS digital image correlation software.
Rights and permissions
About this article
Cite this article
Eitner, M., Musta, M., Vanstone, L. et al. Modal Parameter Estimation of a Compliant Panel Using Phase-based Motion Magnification and Stereoscopic Digital Image Correlation. Exp Tech 45, 287–296 (2021). https://doi.org/10.1007/s40799-020-00393-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40799-020-00393-6