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Modal Analysis Using Digital Image Correlation Technique: An Application to Artificial Wing Mimicking Beetle’s Hind Wing

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Abstract

Understanding the dynamic behavior of structures has become increasingly important in the design process of any mechanical system. Therefore, the demands for improved structural performance have motivated the search for an effective method of structural dynamics testing, since the conventional methods are limited to the location of relatively few applied sensors. Due to the state-of-the-art optical technologies, the shape and deformation of a vibrating structure have been measured using 3-dimensional digital image correlation (DIC) technique. Although DIC has been used widely to construct the mode shape of the structure in modal measurement, it has rarely been applied to determine the full modal parameters (natural frequencies, mode shapes, damping factors). Therefore, this study presents an effective method to measure the full modal parameters of an artificial wing that mimics a beetle’s hind wing using the DIC technique. In our measurement, the artificial wing was mounted on a shaker, which was vibrated with a white noise signal. The full-field result as well as the displacement of a single point on the wing over time was then obtained using ARAMIS® software, a DIC technique-based software. From the temporal displacement of a single point signal in the time domain, we performed fast Fourier transform to obtain the frequency response function (FRF). The spectrum averaging technique and Savitzky-Golay filter were used to reduce the noise. Also, the natural frequencies and damping factors were determined from smoothed FRF. Finally, the mode shapes were measured using DIC at the pre-measured natural frequency.

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References

  1. Helfrick MN, Niezrecki C, Avitabile P, Schmidt T (2011) 3D digital image correlation methods for full-field vibration measurement. Mech Syst Signal Process 25:917–927

    Article  Google Scholar 

  2. Caponero M, 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 14:49–62

    Article  Google Scholar 

  3. Pedrini G, Tiziani HJ (1994) Double-pulse electronic speckle interferometry for vibration analysis. Appl Opt 33:7857–7863

    Article  Google Scholar 

  4. Stetson K (2014) Two‐dimensional vibration analysis via digital holography. Exp Tech

  5. Yang L, Steinchen W, Kupfer G, Mäckel P, Vössing F (1998) Vibration analysis by means of digital shearography. Opt Lasers Eng 30:199–212

    Article  Google Scholar 

  6. Stanbridge A, Ewins D (1999) Modal testing using a scanning laser Doppler vibrometer. Mech Syst Signal Process 13:255–270

    Article  Google Scholar 

  7. Di Maio D and Ewins D (2009) Measurement and comparison of operational deflection shapes (ODSs) using a scanning LDV system in step or continuous scanning mode. Proceedings of the IMAC XXVII, Orlando

  8. Di Maio D, Ewins D (2011) Continuous Scan, a method for performing modal testing using meaningful measurement parameters; Part I. Mech Syst Signal Process 25:3027–3042

    Article  Google Scholar 

  9. Peters WH, Ranson WF (1983) Digital imaging techniques in experimental stress analysis. Opt Eng 21(3):213427

    Article  Google Scholar 

  10. Sutton MA, Wolters WJ, Peters WH, Ranson WF, McNeill SR (1983) Determination of displacements using an improved digital correlation method. Image Vis Comput 1(3):133–139

    Article  Google Scholar 

  11. Peters WH, Ranson WF, Kalthoff JF, Winkler SR (1985) A study of dynamic near-crack-tip fracture parameters by digital image analysis. J Phys Colloques 46(C5):C5–C631

    Article  Google Scholar 

  12. Hung P-C, Voloshin AS (2003) In-plane strain measurement by digital image correlation. J Braz Soc Mech Sci Eng 25(3):215–221

    Article  Google Scholar 

  13. La Rosa G, Marino A, Garrano C (2013) Fracture mechanics parameters evaluation using the digital image correlation technique: a first approach. Convegno IGF XXII Roma

  14. Turton N, Jin S, Majumder A, An H, Vijayan V, Altenhof W, Green D (2011) Experimentally observed strain distributions near circular discontinuities of AA6061-T6 extrusions during axial crush. Exp Mech 51:111–129

    Article  Google Scholar 

  15. Coër J, Bernard C, Laurent H, Andrade-Campos A, Thuillier S (2011) The effect of temperature on anisotropy properties of an aluminium alloy. Exp Mech 51:1185–1195

    Article  Google Scholar 

  16. Arora H, Hooper P, Dear J (2012) The effects of air and underwater blast on composite sandwich panels and tubular laminate structures. Exp Mech 52:59–81

    Article  Google Scholar 

  17. Ha N, Jin T, Goo N, Park H (2011) Anisotropy and non-homogeneity of an Allomyrina Dichotoma beetle hind wing membrane. Bioinspir Biomim 6:046003

    Article  Google Scholar 

  18. Avitabile P, Niezrecki C, Helfrick M, Warren C, Pingle P (2010) Noncontact measurement. Techniques for model correlation. Sound Vib 44:8

    Google Scholar 

  19. 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 51:560–570

  20. Warren C, Niezrecki C, Avitabile P, Pingle P (2011) Comparison of FRF measurements and mode shapes determined using optically image based, laser, and accelerometer measurements. Mech Syst Signal Process 25:2191–2202

    Article  Google Scholar 

  21. Wang W, Mottershead JE, Ihle A, Siebert T, Reinhard Schubach H (2011) Finite element model updating from full-field vibration measurement using digital image correlation. J Sound Vib 330:1599–1620

    Article  Google Scholar 

  22. Wang W, Mottershead JE, Siebert T, Pipino A (2012) Frequency response functions of shape features from full-field vibration measurements using digital image correlation. Mech Syst Signal Process 28:333–347

    Article  Google Scholar 

  23. Ha NS, Truong QT, Phan HV, Goo NS, Park HC (2014) Structural characteristics of  Allomyrina dichotoma Beetle’s hind wings for flapping wing micro Air vehicle. J Bionic Eng 11:226–235

    Article  Google Scholar 

  24. Ma KY, Chirarattananon P, Fuller SB, Wood RJ (2013) Controlled flight of a biologically inspired, insect-scale robot. Science 340:603–607

    Article  Google Scholar 

  25. Wood RJ, Finio B, Karpelson M, Ma K, Pérez-Arancibia NO, Sreetharan PS, Tanaka H, Whitney JP (2012) Progress on ‘pico’air vehicles. Int J Robot Res 31:1292–1302

    Article  Google Scholar 

  26. Ha NS, Truong QT, Goo NS, Park HC (2013) Relationship between wingbeat frequency and resonant frequency of the wing in insects. Bioinspir Biomim 8:046008

    Article  Google Scholar 

  27. Chou YF, Wang LC (2001) On the modal testing of microstructures: its theoretical approach and experimental setup. J Vib Acoust 123:104–109

    Article  Google Scholar 

  28. Ozdoganlar OB, Hansche BD, Carne TG (2005) Experimental modal analysis for microelectromechanical systems. Exp Mech 45:498–506

    Article  Google Scholar 

  29. Wu Z, Wright MT, Ma X (2010) The experimental evaluation of the dynamics of fluid-loaded microplates. J Micromech Microeng 20:075034

    Article  Google Scholar 

  30. Xu Y, Miles R (1996) Experimental determination of bending strain power spectra from vibration measurements. Exp Mech 36:166–172

    Article  Google Scholar 

  31. Park J, Wang S, Crocker M (2011) Study of the damping mechanisms of loose spring skirts on vibrating pipes. Exp Mech 51:275–292

    Article  Google Scholar 

  32. Chen JS, Chen JY, Chou YF (2008) On the natural frequencies and mode shapes of dragonfly wings. J Sound Vib 313:643–654

    Article  Google Scholar 

  33. Sims TW, Palazotto AN, Norris A (2010) A structural dynamic analysis of a Manduca Sexta forewing. Int J Micro Air Veh 2:119–140

    Article  Google Scholar 

  34. Sudo S, Takagi K, Tsuyuki K, Yano T (2008) Dynamic behavior of dragonfly wings. 実験力学, 8: s163-s168.

  35. Schoukens J, Pintelon R, Van Der Ouderaa E, Renneboog J (1988) Survey of excitation signals for FFT based signal analyzers. IEEE Trans Instrum Meas 37:342–352

    Article  Google Scholar 

  36. Schwarz BJ, Richardson MH (1999) Experimental modal analysis. CSI Reliab Week 35:1–12

    Google Scholar 

  37. Murray S (2006) Understanding the perils of spectrum analyzer power averaging, Keithley instruments white paper. www.keithley.com/products/rfmicrowave

  38. Savitzky A, Golay MJE (1964) Smoothing and differentiation of data by simplified least squares procedures. Anal Chem 36(8):1627–1639

    Article  Google Scholar 

  39. 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 52:1535–1549

    Article  Google Scholar 

  40. Techniques GOM. Aramis v5. 4 user manual. GOM mbH. 2005.

  41. 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 33:53–58

    Article  Google Scholar 

  42. Wu P, Ifju P, Stanford B (2010) Flapping wing structural deformation and thrust correlation study with flexible membrane wings. AIAA J 48:2111–2122

    Article  Google Scholar 

  43. Wu P, Stanford B, Sallstrom E, Ukeiley L, Ifju P (2011) Structural dynamics and aerodynamics measurements of biologically inspired flexible flapping wings. Bioinspir Biomim 6:016009–016029

    Article  Google Scholar 

  44. Yu JH, Dehmer PG (2010) Dynamic impact deformation analysis using high-speed cameras and ARAMIS photogrammetry software. DTIC Document

  45. Mikhail EM, Bethel JS, McGlone JC (2001) Introduction to modern photogrammetry. Wiley

  46. Kim KY, Park KH, Park HC, Goo NS, Yoon KJ (2005) Performance evaluation of lightweight piezo-composite actuators. Sensors Actuators A Phys 120(1):123–129

    Article  Google Scholar 

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Acknowledgments

This research was supported by the 2015 KU Brain Pool of Konkuk University․ This research was also supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and Future Planning (Grant number: NRF-2013R1A2A2A01067315). We are very grateful for the financial support received.

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Authors and Affiliations

  1. Smart Microsystem Research Laboratory, Department of Advanced Technology Fusion, Division of Interdisciplinary Studies, Konkuk University, 120 Neungdong-ro, Gwangjin-gu, Seoul, 143-701, Republic of Korea

    N. S. Ha, H. M. Vang & N. S. Goo

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  1. N. S. Ha
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  2. H. M. Vang
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  3. N. S. Goo
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Correspondence to N. S. Goo.

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Ha, N.S., Vang, H.M. & Goo, N.S. Modal Analysis Using Digital Image Correlation Technique: An Application to Artificial Wing Mimicking Beetle’s Hind Wing. Exp Mech 55, 989–998 (2015). https://doi.org/10.1007/s11340-015-9987-2

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  • DOI: https://doi.org/10.1007/s11340-015-9987-2

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