Abstract
Thermomechanical problems have been much less studied than their room temperature counterparts as challenges arise both with metrology and with interpretation of results. This effort aims to shrink this knowledge gap by investigating the influence of thermal effects on the high frequency vibratory response of metals. The present study concentrates on how an inhomogeneous temperature field (max. 600 °C) affects the vibratory response, and specifically mode shapes and resonant frequencies, of a vibrating plate. A plate made of a nickel-based superalloy, Hastelloy X, was heated by induction heating and the temperature distribution was estimated by measuring the out-of-plane curvature resulting form heating. Harmonic vibratory loading at frequencies exceeding 1 kHz was applied using a programmable shaker. Stereo-vision digital image correlation (stereo-DIC) was used to obtain a full-field representation of the vibrating plate. An image decomposition analysis technique based on Tchebichef polynomials was used to compare room and high temperature mode shapes. Results indicate that there is a small influence of temperature on resonant frequencies, even though mode shapes remain similar between room and high temperature vibration.
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References
Grant, B.M.B., Stone, H.J., Withers, P.J., Preuss, M.: High-temperature strain field measurement using digital image correlation. J. Strain Anal. Eng. Des. 44(4), 263–271 (2009)
Novak, M.D., Zok, F.W.: High-temperature materials testing with full-field strain measurement: experimental design and practice. Rev. Sci. Instrum. 82(11), 115101 (2011)
Chen, X., Xu, N., Yang, L., **ang, D.: High temperature displacement and strain measurement using a monochromatic light illuminated stereo digital image correlation system. Meas. Sci. Technol. 23(12), 125603 (2012)
Pan, B., Wu, D., Wang, Z., **a, Y.: High-temperature digital image correlation method for full-field deformation measurement at 1200 °C. Meas. Sci. Technol. 22(1), 015701 (2011)
Hammer, J.T., Seidt, J.D., Gilat, A.: Strain measurement at temperatures up to 800 °C utilizing digital image correlation. In: **, H., Sciammarella, C., Yoshida, S., Lamberti, L. (eds.) Advancement of Optical Methods in Experimental Mechanics, vol. 3, pp. 167–170. Springer International Publishing (2014)
Berke, R.B., Lambros, J.: Ultraviolet digital image correlation (UV-DIC) for high temperature applications. Rev. Sci. Instrum. 85(4), 045121 (2014)
Abotula, S., Heeder, N., Chona, R., Shukla, A.: Dynamic thermo-mechanical response of Hastelloy X to shock wave loading. Exp. Mech. 54(2), 279–291 (2014)
Vautrot, M., Balland, P., Hopperstad, O.S., Tabourot, L., Raujol-Veillé, J., Toussaint, F.: Experimental technique to characterize the plastic behaviour of metallic materials in a wide range of temperatures and strain rates: application to a high-carbon steel. Exp. Mech. 54(7), 1163–1175 (2014)
Zinn, S., Semiatin, S.L.: Induction Coil Design and Fabrication Tech Note - Part 1. Heat Treating Magazine, Jun-1988
Hack, E., Lin, X., Patterson, E.A., Sebastian, C.M.: A reference material for establishing uncertainties in full-field displacement measurements. Meas. Sci. Technol. 26, 075004 (2015)
Wang, W., Mottershead, J.E., Ihle, A., Siebert, T., Reinhard Schubach, H.: Finite element model updating from full-field vibration measurement using digital image correlation. J. Sound Vib. 330(8), 1599–1620 (2011)
Sebastian, C., Hack, E., Patterson, E.: An approach to the validation of computational solid mechanics models for strain analysis. J. Strain Anal. Eng. Des. 48(1), 36–47 (2013)
CWA16799: Validation of Computational Solid Mechanics Models. Comite Europeen de Normalisation, Brussels (2014)
Lampeas, G., Pasialis, V.P., Lin, X., Patterson, E.A.: On the validation of solid mechanics models using optical measurements and data decomposition. Simul. Model. Pract. Theory 52, 92–107 (2015)
Acknowledgements
This effort was sponsored by the Air Force Office of Scientific Research, Air Force Material Command, USAF under grant numbers FA8655-11-3083 and FA9550-12-1-0386. The U.S. Government is authorized to reproduce and distribute reprints of Governmental purpose notwithstanding any copyright notation thereon. Major Matt Synder (EOARD) and Dr. David Stargel (AFOSR) respectively are the program officers for these grants. EAP is the recipient of a Royal Society Wolfson Research Merit Award. The collaboration that was central to this study was supported by a Royal Academy of Engineering Distinguished Visiting Fellowship awarded to JL.
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Berke, R., Chona, R., Ding, A., Lambros, J., Patterson, E., Sebastian, C. (2016). Stereo-DIC Measurements of Thermal Gradient Effects on the Vibratory Response of Metals. In: De Clerck, J., Epp, D. (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/10.1007/978-3-319-30084-9_4
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DOI: https://doi.org/10.1007/978-3-319-30084-9_4
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