Abstract
The experimental measurement of resonant frequencies for piezoelectric material is generally performed by impedance analysis. In this paper we employ an optical interferometry method, called amplitude-fluctuation electronic speckle pattern interferometry (AF-ESPI), to investigate the vibration characteristics of piezoceramic plates. This method demonstrates its advantages of combining noise reduction, like the subtraction method, and high fringe sensitivity, like the time-averaged method. As compared with the film recording and optical reconstruction procedures used for holographic interferometry, the interferometric fringes of AF-ESPI are produced instantly by a video recording system. Based on the fact that clear fringe patterns measured by the AF-ESPI method will be shown only at resonant frequencies, both the resonant frequencies and corresponding mode shapes are obtained experimentally at the same time. Excellent quality for the interferometric fringe patterns of the mode shapes is demonstrated. We find from experimental results that the out-of-plane vibration modes (type A) with lower resonant frequencies cannot be measured by impedance analysis and only the in-plane vibration modes (type B) will be shown. However, both the out-of-plane (bending) and in-plane (extension) vibration modes of piezoceramic plates are obtained by the AF-ESPI method. Finally, numberical finite element calculations are also performed, and the results are compared with the experimental measurements. Excellent agreement for the resonant frequencies and mode shapes are obtained from both results.
Similar content being viewed by others
References
Butters, J.N. andLeendertz, J.A., “Speckle Pattern and Holographic Technique in Engineering Metrology,”Opt. Laser Tech.,3,26–30 (1971).
Rastogi, P.K. Holographic Interferometry, Springer-Verlag, Berlin, Germany (1994).
Wang, W.C., Hwang, C.H., andLin, S.Y., “Vibration Measurement by the Time-averaged Electronic Speckle Pattern Interferometry Methods,”Appl. Opt.,35,4502–4509 (1996).
Show, E.A.G., “On the Resonant Vibrations of Thick Barium Titanate Disks,”J. Acoust. Soc. Am.,28,38–50 (1956).
Holland, R. “Contour Extensional Resonant Properties of Rectangular Piezoelectric Plates,”IEEE Trans. Sonics and Ultrason.,15,97–105 (1968).
Chang, M., “In-plane Vibration Displacement Measurement Using Fiber-optical Speckle Interferometry,”Preci. Eng.,16,36–41 (1994).
Brissaud, M., Aurelle, N., Roche, D., andRichard, C., “Two-dimensional Model for Shear Piezoceramic Characterisation,”Ultrason.,34,83–86 (1996).
Bisegna, P. andMaceri, F., “A Consistent Theory of Thin Piezoelectric Plates,”J. Intell. Mater. Syst. Struct.,7,372–389 (1996).
Ma, C.C. andHuang, C.H., “The Investigation of Three-dimensional Vibration for Piezoelectric Rectangular Parallelepipeds by Using the AF-ESPI Method,”IEEE Trans. Ultrasonics, Ferroelectrics, and Frequency Control,48,142–153 (2001).
Huang, C.H. andMa, C.C., “Vibration Characteristics for Piezoelectric Cylinders Using Amplitude-fluctuation Electronic Speckle Pattern Interferometry,”AIAA J.,36,2262–2268 (1998).
Hibbit, Karlsson andSorensen, Manuals for ABAQUS 5.5, Hibbit, Karlsson and Sorensen, Pawtucket, RI (1995).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ma, CC., Huang, CH. Experimental full field investigations of resonant vibrations for piezoceramic plates by an optical interferometry method. Experimental Mechanics 42, 140–146 (2002). https://doi.org/10.1007/BF02410875
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02410875