Abstract
Temperature has significant effects on modal parameters of a structure. However, it is difficult to do a full-field dynamic measurement and identify modal parameters of the structure under high temperature and working conditions. In this work, three-dimensional digital image correlation combined with Bayesian operational modal analysis is used to yield a full-field non-contact thermal modal testing technique under ambient excitation. Thermal modal verification experiments are carried out on a titanium plate with free boundary conditions under ambient excitation by a low-cost high-temperature dynamic measurement system. Natural frequencies and mode shapes of the plate under different average high temperatures are studied in detail. From the experimental process, it is believed that the thermal modal testing technique proposed in this work is an effective alternative testing technique to traditional contact testing techniques, and after some improvements, one can achieve thermal modal analysis of a structure under high temperature and working conditions.
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References
Brown AM (2002) Temperature-dependent modal test/analysis correlation of X-34 fastrac composite rocket nozzle. J Propuls Power 18(2):284–288
Bai YH, Yu KP, Zhao J, Zhao R (2018) Experimental and simulation investigation of temperature effects on modal characteristics of composite honeycomb structure. Compos Struct 201:816–827
Chen DM, Xu YF, Zhu WD (2016) Damage identification of beams using a continuously scanning laser Doppler vibrometer system. J Vib Acoust 138(5):051011
Chen DM, Xu YF, Zhu WD (2019) A comprehensive study on detection of hidden delamination damage in a composite plate using curvatures of operating deflection shapes. J Nondestruct Eval 38:54
Bai Y, Yu K, Zhao R, Zhou H (2018) Impact series shaker excitation approach for structural modal testing in thermal environments. Exp Tech 42:429–438
Bruck HA, McNeill SR, Sutton MA, Peters WH (1989) Digital image correlation using Newton-Raphson method of partial differential correction. Exp Mech 29(3):261–267
Luo PF, Chao YJ, Sutton MA (1994) Application of stereo vision to three-dimensional deformation analyses in fracture experiments. Opt Eng 33(3):981–991
Pan B, Qian K, Xie H, Asundi A (2009) Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review. Meas Sci Technol 20:6
Reu P (2015) DIC: a revolution in experimental mechanics. Exp Tech 39(6):1–2
Chen X, Xu N, Yang LX, Xiang D (2012) High temperature displacement and strain measurement using a monochromatic light illuminated stereo digital image correlation system. Meas Sci Technol 23(12):125603
Hu YJ, Wang YJ, Chen JB, Zhu JM (2018) A new method of creating high-temperature speckle patterns and its application in the determination of the high-temperature mechanical properties of metals. Exp Tech 42:523–532
Grant BMB, Stone HJ, Withers PJ, Preuss M (2009) High-temperature strain field measurement using digital image correlation. J Strain Anal Eng Des 44(4):263–271
Pan B, Wu D, Wang Z, Xia Y (2011) High-temperature digital image correlation method for full-field deformation measurement at 1200 °C. Meas Sci Technol 22(1):015701
Berke RB, Lambros J (2014) Ultraviolet digital image correlation (UV-DIC) for high temperature applications. Rev Sci Instrum 85(4):045121
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
Santos Silva AC, Sebastian CM, Lambros J, Patterson EA (2019) High temperature modal analysis of a non-uniformly heated rectangular plate: experiments and simulations. J Sound Vib 443:397–410
Yuen KV, Katafygiotis LS (2001) Bayesian time-domain approach for modal updating using ambient data. Probabilistic Eng Mech 16:219–231
Yuen KV, Katafygiotis LS (2003) Bayesian fast Fourier transform approach for modal updating using ambient data. Adv Struct Eng 6:81–95
Au SK, Zhang FL, Ni YC (2013) Bayesian operational modal analysis: theory, computation, practice. Comput Struct 126:3–14
Au SK (2011) Fast Bayesian FFT method for ambient modal identification with separated modes. J Eng Mech 137:214–226
Hu YJ, Sun X, Zhu WD, Li HL (2019) Local damage detection of a fan blade under ambient excitation by three-dimensional digital image correlation. Smart Struct Syst 24(5):597–606
Hu YJ, Guo WG, Zhu WD, Xu YF (2019) Local damage detection of membranes based on Bayesian operational modal analysis and three-dimensional digital image correlation. Mech Syst Signal Process 131:633–648
Jones EMC, Iadicola MA. A good practices guide for digital image correlation. International Digital Image Correlation Society (2018)
Vautard R, Ghil M (1989) Singular spectrum analysis in nonlinear dynamics, with applications to paleoclimatic time series. Physica D 35:395–424
Allemang RJ (2003) The modal assurance criterion (MAC): twenty years of use and abuse. Sound Vibration 37(8):14–21
Acknowledgements
The authors would like to thank the financial support from the National Science Foundation (Award No. 1763024), and National Natural Science Foundation of China (Award Nos. 11772100 and 51975379).
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Hu, Y.J., Huang, Z.S., Zhu, W.D. et al. A Full-Field Non-Contact Thermal Modal Testing Technique Under Ambient Excitation. Exp Tech 45, 257–271 (2021). https://doi.org/10.1007/s40799-021-00441-9
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DOI: https://doi.org/10.1007/s40799-021-00441-9