Abstract
Background
A conventional three-dimensional digital image correlation (DIC) based on painted speckle patterns has been used widely as a non-contact measurement method to study modal analysis of various structures. Surface treatment using painted speckle patterns might change the structural properties of flexible and lightweight structures such as artificial wings of flapping micro air vehicles. Furthermore, if materials and structures are being serviced, it is essential that their surfaces not be contaminated.
Objective
We propose a new DIC method that is capable of preventing effects of painted speckle patterns on thin flexible structures during vibration measurement.
Methods
We project a virtual speckle pattern onto the surface of structures instead of using painted speckle patterns. For a benchmark test, we demonstrate the effectiveness of the proposed virtual speckle pattern DIC method for measuring the structural characteristics of a cantilever beam. We then apply the proposed DIC method to the vibration measurement of an artificial flapping wing. Finite element analysis (FEA) of the artificial wing is performed in ABAQUS™ to obtain natural frequencies and mode shapes.
Results
The natural frequencies at the first three modes of the artificial wing obtained from the proposed method are higher than those obtained from the conventional 3D DIC because of the smaller weight of the unpainted wing. The results of the mass compensation, laser sensor, and finite element analysis prove the effectiveness of the proposed virtual speckle pattern DIC method.
Conclusion
The proposed DIC method achieves high accuracy and prevents the effect of painted speckle patterns on the dynamic vibration measurement of a thin flexible structure such as an artificial flapping wing.
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References
Wood RJ (2008) The First Takeoff of a Biologically Inspired At-Scale Robotic Insect. IEEE Trans Rob 24(2):341–347. https://doi.org/10.1109/tro.2008.916997
Perez-Arancibia NO, Ma KY, Galloway KC, Greenberg JD, Wood RJ (2011) First controlled vertical flight of a biologically inspired microrobot. Bioinspir Biomim 6(3):036009. https://doi.org/10.1088/1748-3182/6/3/036009
Arabagi V, Hines L, Sitti M (2012) Design and manufacturing of a controllable miniature flapping wing robotic platform. Int J Robot Res 31(6):785–800. https://doi.org/10.1177/0278364911434368
Ratti J, Vachtsevanos G (2010) A Biologically-Inspired Micro Aerial Vehicle. J Intell Rob Syst 60(1):153–178. https://doi.org/10.1007/s10846-010-9415-x
Pfeiffer AT, Lee J-S, Han J-H, Baier H (2010) Ornithopter flight simulation based on flexible multi-body dynamics. J Bionic Eng 7(1):102–111. https://doi.org/10.1016/s1672-6529(09)60189-x
Lee J-s, Kim J-k, Han J-h, Ellington CP (2012) Periodic Tail Motion Linked to Wing Motion Affects the Longitudinal Stability of Ornithopter Flight. J Bionic Eng 9(1):18–28. https://doi.org/10.1016/s1672-6529(11)60093-0
Kumar D, Mohite PM, Kamle S (2019) Dragonfly Inspired Nanocomposite Flapping Wing for Micro Air Vehicles. J Bionic Eng 16(5):894–903. https://doi.org/10.1007/s42235-019-0104-6
Van Truong T, Byun D, Lavine LC, Emlen DJ, Park HC, Kim MJ (2012) Flight behavior of the rhinoceros beetle Trypoxylus dichotomus during electrical nerve stimulation. Bioinspir Biomim 7(3):036021. https://doi.org/10.1088/1748-3182/7/3/036021
Combes SA (2010) Materials, Structure, and Dynamics of Insect Wings as Bioinspiration for MAVs. In: Encyclopedia of Aerospace Engineering. https://doi.org/10.1002/9780470686652.eae404
Vanella M, Fitzgerald T, Preidikman S, Balaras E, Balachandran B (2009) Influence of flexibility on the aerodynamic performance of a hovering wing. J Exp Biol 212(Pt 1):95–105. https://doi.org/10.1242/jeb.016428
Ha NS, Le VT, Goo NS (2017) Investigation of fracture properties of a piezoelectric stack actuator using the digital image correlation technique. Int J Fatigue 101:106–111. https://doi.org/10.1016/j.ijfatigue.2017.02.020
Truong TV, Le TQ, Byun D, Park HC, Kim M (2012) Flexible Wing Kinematics of a Free-Flying Beetle (Rhinoceros Beetle Trypoxylus Dichotomus). J Bionic Eng 9(2):177–184. https://doi.org/10.1016/s1672-6529(11)60113-3
Shyy W, Aono H, Chimakurthi SK, Trizila P, Kang CK, Cesnik CES, Liu H (2010) Recent progress in flapping wing aerodynamics and aeroelasticity. Prog Aerosp Sci 46(7):284–327. https://doi.org/10.1016/j.paerosci.2010.01.001
Ramananarivo S, Godoy-Diana R, Thiria B (2011) Rather than resonance, flapping wing flyers may play on aerodynamics to improve performance. Proc Natl Acad Sci U S A 108(15):5964–5969. https://doi.org/10.1073/pnas.1017910108
Ha NS, Truong QT, Goo NS, Park HC (2013) Relationship between wingbeat frequency and resonant frequency of the wing in insects. Bioinspir Biomim 8(4):046008. https://doi.org/10.1088/1748-3182/8/4/046008
Ha NS, Le VT, Goo NS (2018) Investigation of punch resistance of the Allomyrira dichtoloma beetle forewing. J Bionic Eng 15(1):57–68. https://doi.org/10.1007/s42235-017-0004-6
P-sT N, Tai YC, Nassef H, Ho CM (2001) Titanium-alloy MEMS wing technology for a micro aerial vehicle application. Sensors and Actuators A 89(1–2):95–103. https://doi.org/10.1016/S0924-4247(00)00527-6
Bao XQ, Dargent T, Grondel S, Paquet JB, Cattan E (2011) Improved micromachining of all SU-8 3D structures for a biologically-inspired flying robot. Microelectron Eng 88(8):2218–2224. https://doi.org/10.1016/j.mee.2011.01.065
Ha NS, Nguyen QV, Goo NS, Park HC (2012) Static and Dynamic Characteristics of an Artificial Wing Mimicking an Allomyrina Dichotoma Beetle’s Hind Wing for Flapping-Wing Micro Air Vehicles. Exp Mech 52(9):1535–1549. https://doi.org/10.1007/s11340-012-9611-7
Combes SA, Daniel TL (2003) Flexural stiffness in insect wings. I. Scaling and the influence of wing venation. J Exp Biol 206 (Pt 17):2979–2987. https://doi.org/10.1242/jeb.00523
Zeng LiJiang, Matsumoto H, Sunada S, Ohnuki T, Kawachi K (1995) Two-dimensional, noncontact measurement of the natural frequencies of dragonfly wings using a quadrant position sensor. Opt Eng 34(4):1226–1232. https://doi.org/10.1117/12.197080
Chen J-S, Chen J-Y, Chou Y-F (2008) On the natural frequencies and mode shapes of dragonfly wings. J Sound Vib 313(3–5):643–654. https://doi.org/10.1016/j.jsv.2007.11.056
Ha NS, Vang HM, Goo NS (2015) Modal Analysis Using Digital Image Correlation Technique: An Application to Artificial Wing Mimicking Beetle’s Hind Wing. Exp Mech 55(5):989–998. https://doi.org/10.1007/s11340-015-9987-2
Caponero MA, Pasqua P, Paolozzi A, Peroni I (2000) Use of Holographic Interferometry and Electronic Speckle Pattern Interferometry for Measurements of Dynamic Displacements. Mech Syst Signal Process 14(1):49–62. https://doi.org/10.1006/mssp.1999.1265
Pedrini G, Tiziani HJ (1994) Double-pulse electronic speckle interferometry for vibration analysis. Appl Opt 33(34):7857–7863. https://doi.org/10.1364/AO.33.007857
Stetson KA (2014) Two-Dimensional Vibration Analysis via Digital Holography. Exp Tech 40(2):483–487. https://doi.org/10.1007/s40799-016-0051-7
Yang L, Steinchen W, Kupfer G, Mäckel P, Vössing F (1998) Vibration analysis by means of digital shearography. Opt Lasers Eng 30(2):199–212. https://doi.org/10.1016/S0143-8166(98)00016-5
Standbridge AB, Ewins DJ (1999) Modal testing using a scanning laser Doppler vibrometer. Mech Syst Signal Process 13(2):255–270. https://doi.org/10.1006/mssp.1998.1209
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. https://doi.org/10.1364/josaa.72.000156
Gorthi SS, Rastogi P (2010) Fringe projection techniques: Whither we are? Opt Lasers Eng 48(2):133–140. https://doi.org/10.1016/j.optlaseng.2009.09.001
Grédiac M, Blaysat B, Sur F (2017) A Critical Comparison of Some Metrological Parameters Characterizing Local Digital Image Correlation and Grid Method. Exp Mech 57(6):871–903. https://doi.org/10.1007/s11340-017-0279-x
Su X, Zhang Q (2010) Dynamic 3-D shape measurement method: A review. Opt Lasers Eng 48(2):191–204. https://doi.org/10.1016/j.optlaseng.2009.03.012
Felipe-Sesé L, Siegmann P, Díaz FA, Patterson EA (2014) Simultaneous in-and-out-of-plane displacement measurements using fringe projection and digital image correlation. Opt Lasers Eng 52:66–74. https://doi.org/10.1016/j.optlaseng.2013.07.025
Felipe-Sesé L, Molina-Viedma ÁJ, López-Alba E, Díaz FA (2019) FP+DIC for low-cost 3D full-field experimental modal analysis in industrial components. Mech Syst Signal Process 128:329–339. https://doi.org/10.1016/j.ymssp.2019.04.004
Felipe-Sesé L, Molina-Viedma Á, López-Alba E, Díaz F (2018) Dynamic displacements measurement employing fringe projection and digital image correlation. Proceedings 2 (8). https://doi.org/10.3390/icem18-05366
Felipe-Sese L, Molina-Viedma AJ, Lopez-Alba E, Diaz FA (2018) RGB colour encoding improvement for three-dimensional shapes and displacement measurement using the integration of fringe projection and digital image correlation. Sensors (Basel) 18 (9). https://doi.org/10.3390/s18093130
Peters WH, Ranson WF (1982) Digital Imaging Techniques In Experimental Stress Analysis. Opt Eng 21(3):427–431. https://doi.org/10.1117/12.7972925
Chu TC, Ranson WF, Sutton MA, Peters WH (1985) Applications of digital-image-correlation techniques to experimental mechanics. Exp Mech 25(3):232–244. https://doi.org/10.1007/BF02325092
Sutton MA, Cheng M, Peters WH, Chao YJ, McNeill SR (1986) Application of an optimized digital correlation method to planar deformation analysis. Image Vis Comput 4 (3):143–150. https://doi.org/10.1016/0262-8856(86)90057-0
Le VT, Goo NS (2021) Design, Fabrication, and Testing of Metallic Thermal Protection Systems for Spaceplane Vehicles. J Spacecr Rocket 1–18. https://doi.org/10.2514/1.A34908
Ha NS, Le VT, Goo NS, Kim JY (2017) Thermal Strain Measurement of Austin Stainless Steel (SS304) during a Heating-cooling Process. International Journal of Aeronautical and Space Sciences 18(2):206–214. https://doi.org/10.5139/ijass.2017.18.2.206
Wu P, Stanford B, Bowman W, Schwartz A, Ifju P (2009) Digital Image Correlation Techniques for Full-Field Displacement Measurements of Micro Air Vehicle Flapping Wings. Exp Tech 33(6):53–58. https://doi.org/10.1111/j.1747-1567.2008.00450.x
Ha NS, Jin T, Goo NS (2013) Modal analysis of an artificial wing mimicking an Allomyrina dichotoma beetle’s hind wing for flapping-wing micro air vehicles by noncontact measurement techniques. Opt Lasers Eng 51(5):560–570. https://doi.org/10.1016/j.optlaseng.2012.12.012
Nguyen H, Nguyen D, Wang Z, Kieu H, Le M (2015) Real-time, high-accuracy 3D imaging and shape measurement. Appl Opt 54(1):A9-17. https://doi.org/10.1364/AO.54.0000A9
Nguyen H, Liang J, Wang Y, Wang Z (2021) Accuracy assessment of fringe projection profilometry and digital image correlation techniques for three-dimensional shape measurements. Journal of Physics: Photonics 3 (1). https://doi.org/10.1088/2515-7647/abcbe4
Niu Y, Shao S, Park SB, Kao C-L (2017) A Novel Speckle-Free Digital Image Correlation Method for In Situ Warpage Characterization. IEEE Transactions on Components, Packaging and Manufacturing Technology 7(2):276–284. https://doi.org/10.1109/tcpmt.2016.2635581
Sriram P, Hanagud S (1988) Projection-speckle digital-correlation method for surface-displacement measurement. Exp Mech 28(4):340–345. https://doi.org/10.1007/BF02325173
Wu Z, Wright MT, Ma X (2010) The experimental evaluation of the dynamics of fluid-loaded microplates. J Micromech Microeng 20 (7). https://doi.org/10.1088/0960-1317/20/7/075034
Chou Y-F, Wang L-C (2001) On the Modal Testing of Microstructures: Its Theoretical Approach and Experimental Setup. J Vib Acoust 123(1):104–109. https://doi.org/10.1115/1.1320814
Ozdoganlar OB, Hansche BD, Carne T (2005) Experimental modal analysis for microelectromechanical systems. Exp Mech 45(6):498–506. https://doi.org/10.1177/0014485105059991
FASTCAM-APX RS Hardware Manual. Photron Ltd, (2006)
Jones EM, Iadicola MA (2018) A good practices guide for digital image correlation. International Digital Image Correlation Society
Schmidt T, Tyson J, Galanulis K (2003) Full-field dynamic displacement and strain measurement using advanced 3D image correlation photogrammetry: Part I. Exp Tech 27(3):47–50. https://doi.org/10.1111/j.1747-1567.2003.tb00115.x
Le VT, Ha NS, Jin T, Goo NS, Kim JY (2016) Thermal interaction of a circular plate-ring structure using digital image correlation technique and infrared heating system. J Mech Sci Technol 30(9):4363–4372. https://doi.org/10.1007/s12206-016-0750-0
Le VT, Goo NS (2019) Thermomechanical performance of bio-inspired corrugated-core sandwich structure for a thermal protection system panel. Appl Sci 9 (24). https://doi.org/10.3390/app9245541
GOM (2015) Gom correlate Professional V8 SR1 manual basic.
Brincker R (2015) Ventura C (2015) Introduction to Operational Modal Analysis. John Wiley & Sons, Chichester, UK
Richardson MHJS, Vibration (1997) Is it a mode shape, or an operating deflection shape? 31 (1):54–67
Bae W, Kyong Y, Dayou J, Park K-h, Wang S (2011) Scaling the Operating Deflection Shapes Obtained from Scanning Laser Doppler Vibrometer. J Nondestr Eval 30(2):91–98. https://doi.org/10.1007/s10921-011-0094-8
McHargue PL, Richardson MH Operating deflection shapes from time versus frequency domain measurements. In: 11th IMAC Conference, 1993. Citeseer, p 108
Le VT, Goo NS (2020) Dynamic characteristics and damage detection of a metallic thermal protection system panel using a three-dimensional point tracking method and a modal assurance criterion. Sensors (Basel) 20 (24). https://doi.org/10.3390/s20247185
Rizo-Patron S, Sirohi J (2016) Operational Modal Analysis of a Helicopter Rotor Blade Using Digital Image Correlation. Exp Mech 57(3):367–375. https://doi.org/10.1007/s11340-016-0230-6
Morante R, Wang Y, Chokshi N, Kenneally R, Norris W (1999) Evaluation of modal combination methods for seismic response spectrum analysis.
Goodfellow (n.d) Carbon/Epoxy Composite - Material Information. http://www.goodfellow.com/E/Carbon-Epoxy-Composite.html. Accessed 20 July 2020
Becker H (1965) Elastic modulus of Mylar sheet. J Appl Polym Sci 9(3):911–916. https://doi.org/10.1002/app.1965.070090309
Combes SA, Daniel TL (2003) Into thin air: Contributions of aerodynamic and inertial-elastic forces to wing bending in the hawkmoth Manduca sexta. J Exp Biol 206(Pt 17):2999–3006. https://doi.org/10.1242/jeb.00502
Acknowledgements
This research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2019R1A2B5B01069687). The authors are grateful for the financial support.
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Doan, N.V., Le, V.T., Park, H.C. et al. Modal Analysis Using a Virtual Speckle Pattern Based Digital Image Correlation Method: An Application for an Artificial Flapping Wing. Exp Mech 62, 253–270 (2022). https://doi.org/10.1007/s11340-021-00775-w
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DOI: https://doi.org/10.1007/s11340-021-00775-w