Abstract
The nonlinear resonant decay of a structure offers much insight into the frequency-amplitude behavior of a structure’s dynamic response. The spatial deformation during this decay is especially important since nonlinear responses can cause unexpected stress concentrations necessitating full-field measurements for comparison with a model. In this context, full-field measurement techniques, such as continuous scan laser Doppler vibrometry (CSLDV) and high speed three dimensional digital image correlation (3D-DIC) provide tools to obtain the full-field dynamic response experimentally. While CSLDV has been used to measure the steady state response of linear and nonlinear structures as well as transient responses of linear structures, it is unclear whether the approach can be successful for transient nonlinear measurements where the frequency of the dynamic response is amplitude dependent. In this investigation, the capabilities of CSLDV will be utilized to measure the nonlinear resonant decay of a clamped-clamped flat beam. The response measured using CSLDV will then be compared with the decay response measured with 3D-DIC to validate the CSLDV method and to understand the advantages and disadvantages of each.
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References
Di Maio, D., Ewins, D.J.: Continuous scan, a method for performing modal testing using meaningful measurement parameters Part I. Mech. Syst. Signal Process. 25, 3024–3042 (2011)
Yang, S., Allen, M.S.: Output-only modal analysis using continuous-scan laser doppler vibrometry and application to a 20Â kW wind turbine. Mech. Syst. Signal Process. 31 (2011)
Maio, D.D., Carloni, G., Ewins, D.J.: Simulation and validation of ODS measurements made using continuous SLDV method on a beam excited by a pseudo random signal. In: XVIII International Modal Analysis Conference, Jacksonville, FL, 2010
Yang, S., Sracic, M.W., Allen, M.S.: Two algorithms for mass normalizing mode shapes from impact excited continuous-scan laser Doppler vibrometry. J. Vib. Acoust. 134(2), 021004 (2012)
Stanbridge, A.B., Ewins, D.J., Khan, A.Z.: Modal testing using impact excitation and a scanning LDV. Shock Vib. 7(2), 91 (2000)
Yang, S.: Modal identification of linear time periodic systems with applications to continuous-scan laser doppler vibrometry. In: Engineering Physics, University of Wisconsin-Madison, 2013
Ehrhardt, D.A., Allen, M.S., Yang. S., Beberniss, T.J.: Full-field linear and nonlinear measurements using continuous-scan laser Doppler vibrometry and high speed three-dimensional digital image correlation. Mech. Syst. Signal. Process. 86, 82–97 (2017)
Beberniss, T.J., Spottswood, S.M., Eason, T.: High-speed 3D digital image correlation measurement of long duration random vibration: recent advancements and noted limitations. In: ISMA Biennial Conference, Lueven, Belgium, 2012
Niezrecki, C., et al.: A review of digital image correlation applied to structural dynamics. AIP Conf. Proc. 1253(1), 219–232 (2010)
Schmidt, T.E., et al.: Full-field dynamic deformation and strain measurements using high-speed digital cameras. In: 26th International Congress on High-Speed Photography and Photonics, Bellingham, WA, 2005
Tiwari, V., Sutton, M.A., Shultis, G., McNeill, S.R., Xu, S., Deng, X., Fourney, W.L., Bretall, D.: Measuring full-field transient plate deformation using high speed imaging systems and 3D-DIC. In: Proceedings of the Society for Experimental Mechanics Annual Conference, Albuquerque, 2009
mbH, G.: Aramis, Braunschweig, Germany, 2011
mbH, G.: IVIEW Real Time Sensor, Braunschweig, Germany, 2011
Sutton, M.A., Orteu, J.J., Schreier, H.: Image Correlation for Shape, Motion, and Deformation Measurements: Basic Concepts, Theory, and Applications. Springer, New York (2009)
Bell, J.R., Rothberg, S.J.: Laser vibrometers and contacting transducers. Target rotation and six degree-of-freedom vibration: what do we really measure? J. Sound Vib. 237, 245–261 (2000)
Stanbridge, A.B., Ewins, D.J.: Modal testing using a scanning laser Doppler vibrometer. Mech. Syst. Signal Process. 13(2), 255–270 (1999)
Stanbridge, A.B., Khan, A.Z., Ewins, D.J.: Modal testing using impact excitation and a scanning LDV. Shock Vib. 7(2), 91–100 (2000)
Allen, M.S.: Frequency-domain identification of linear time-periodic systems using LTI techniques. J. Comput. Nonlinear Dyn. 4(4), 041004 (2009)
Martarelli, M.: Exploiting the laser scanning facility for vibration measurements. In: Technology & Medicine. Imperial College, London (2001)
Stanbridge, A.B., Martarelli, M., Ewins, D.J.: Measuring area vibration mode shapes with a continuous-scan LDV. Measurement. 35(2), 181–189 (2004)
Schwingshackl, C.W., et al.: Full-field vibration measurement of cylindrical structures using a continuous scanning LDV technique. In: 25th International Modal Analysis Confernce (IMAC XXV), Orlando, Florida, 2007
Ehrhardt, D.A., Allen, M.S., Yang, S., Beberniss, T.J.: Full-field linear and nonlinear measurements using continuous-scan laser Doppler vibrometry and high speed three-dimensional digital image correlation. Mech. Syst. Signal Process. (2016), in press
Ehrhardt, D.A., Allen, M.S.: Measurement of nonlinear normal modes using multi-harmonic stepped force appropriation and free decay. Mech. Syst. Signal Process. 76–77, 612–633 (2016)
Peeters, M., Kerschen, G., Golinval, J.C.: Modal testing of nonlinear vibrating structures based on nonlinear normal modes: experimental demonstration. Mech. Syst. Signal Process. 25(4), 1227–1247 (2011)
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Ehrhardt, D.A., Allen, M.S., Beberniss, T.J. (2017). The Measurement of a Nonlinear Resonant Decay Using Continuous-Scan Laser Doppler Vibrometry. In: Di Maio, D., Castellini, P. (eds) Rotating Machinery, Hybrid Test Methods, Vibro-Acoustics & Laser Vibrometry, Volume 8. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-54648-3_10
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