TY - JOUR
AU - Huang, M. F.
AB - ABSTRACT This research is focused in the measurement and modelling of the dispersion relations of Lamb waves propagating in a piezoelectric plate. A theoretical model based on a partial wave analysis is used to provide numerical calculations for the dispersion relations of Lamb waves propagating in an LiNbO3 plate with different propagating directions. The dispersion relations are presented in an innovative image format. A non-contact laser ultrasound technique operated in B-scan mode with the aid of double Fast Fourier transform signal-processing scheme is used to measured multi-mode dispersion realtions. Among all the propagation angles, the measured dispersion curves show good agreement with the theoretical calculations. The Rayleigh wave speeds are extracted from the measured and calculated dispersion curves, showing favorable comparison with classical theory by Campbell. LiNbO3, Lamb wave, Laser ultrasonics, Dispersion REFERENCES 1. Gualtieri J. G. , Kosinski J. A. and Ballato A. , “ Piezoelectric Materials for SAW Applications ,” IEEE Ultrason. Symp. , PP. ( 1992 ). OpenURL Placeholder Text WorldCat 2. Josse F. , Shana Z. A. , Radtke, D. E. and Haworth D. T. , “ Analysis of Piezoelectric Bulk-Acoustic-Wave Resonators as Detectors in Viscous Conductive Liquids ,” IEEE Trans. Ultrason., Ferroelect., Freq. Contr. , 37 ( 5 ), pp. 359 – 367 ( 1990 ). Google Scholar Crossref Search ADS WorldCat 3. Joshi S. G. and Jin Y. , “ Application of a Surface-Acoustic-Wave Device for Measurement of Liquid Flow Rate ,” IEEE Trans. Ultrason., Ferroelect., Freq. Contr. , 37 ( 5 ), pp. 474 – 478 ( 1990 ). OpenURL Placeholder Text WorldCat 4. Kelkar U. R. , Liew Su-Lin , Shana Z. A. , Haworth D. T. , Grunze M. and Josse F. , “ Applications of Lithium Niobate Acoustic Plate Mode as Sensor for Conductive Liquids ,” IEEE 1990 Ultrason. Symp. , pp. 285 – 288 ( 1990 ). OpenURL Placeholder Text WorldCat 5. Josse F. , Haworth D. T. , Kellar U. R. and Shana Z. A. , “ LiNbO3 Acoustic Plate Mode Sensor for Dilute Ionic Solutions ,” Electron. Lett. , 26 , pp. 834 – 837 ( 1990 ). Google Scholar Crossref Search ADS WorldCat 6. Josse F. , Shana Z. A. , Haworth D. T. , Liew, S. and Grunze M. , “ On the Use of ZX-LiNbO3 Acoustic Plate Mode Devices as Detectors for Dilute Electrolytes ,” Sensors and Actuators B , 9 , pp. 97 – 102 ( 1992 ). Google Scholar Crossref Search ADS WorldCat 7. Josse F. and Shana Z. A. , “ Electrical Surface Perturbation of a Piezoelectric Acoustic Plate Mode by a Conductive Liquid Loading ,” IEEE Trans. Ultrason. Ferroelec. Freq. Control , 39 ( 4 ), pp. 512 – 518 ( 1992 ). Google Scholar Crossref Search ADS WorldCat 8. Josse F. , Andle J. C. , Vetelino J. F. , Dahint R. and Grunze M. , “ Theoretical and Exprimental Study of Mass Sensitivity of PSAW-APMs on ZX-LiNbO3 ,” IEEE Trans. Ultrason., Ferroelect., Freq. Contr. , 42 ( 4 ), pp. 517 – 524 ( 1995 ). Google Scholar Crossref Search ADS WorldCat 9. Sawaguchi A. and Toda K. , “ System for Measuring Sound Velocity in Liquid Using Leaky Lamb Wave Modes 1280 Rot. X-Y Cut LiNbO3 Substrate ,” Jpn. J. Appl. Phys. , 38 ( 9B ), pp. 2402 – 2405 ( 1991 ). OpenURL Placeholder Text WorldCat 1. Nomura T. , Yasuda T. and Furukawa S. , “ Humidity Sensor Using Surface Acoustic Waves Propagating along Polymer/LiNbO3 Structures ,” IEEE Ultrason. Symp. , pp. 417 – 420 ( 1993 ). OpenURL Placeholder Text WorldCat 1. Toda K. and Mizutani K. , “ Substrate Thickness Dependence of SH Wave Propagation Characteristics in Rotated Y-cut X-propagation LiNbO3 ,” J. Acous. Soc. Am. , 79 ( 1 ), pp. 160 – 163 ( 1986 ). Google Scholar Crossref Search ADS WorldCat 1. Sawaguchi A. and Toda K. , “ Lamb Wave Propagation Characteristics on Water-Loaded LiNbO3 Thin Plate ,” Jpn. J. Appl. Phys. , 32 ( 5B ), pp. 2389 ––– ( 1993 ). OpenURL Placeholder Text WorldCat 1. Toda K. and Sawaguchi A. , “ Propagation Characteristics of Shear-Horizontal Plate Modes on Water-Loaded LiNbO3 ,” Jpn. J. Appl. Phys. , 33 ( 5B ), pp. 2949 – 2952 ( 1994 ). OpenURL Placeholder Text WorldCat 1. Nayfeh A. H. and Chien H. T. , “ The Influence of Piezoelectricity on Free and Reflected Waves from Fluid-loaded Anisotropic Plates ,” J. Acous. Soc. Am. , 91 ( 3 ), pp. 1250 – 1261 ( 1992 ). Google Scholar Crossref Search ADS WorldCat 1. Yang C. H. and Chimenti D. E. , “ Guided Plate Waves Propagating in a Piezoelectric Plate Immersed in a Dielectric Fluid, I. Theory ,” J. Acous. Soc. Am. , 97 ( 4 ), pp. 2103 – 2109 ( 1995 ). Google Scholar Crossref Search ADS WorldCat 1. Yang C. H. and Chimenti D. E. , “ Guided Plate Waves Propagating in a Piezoelectric Plate Immersed in a Dielectric Fluid, II. Experiment ,” J. Acous. Soc. Am. , 97 ( 4 ), pp. 2110 – 2117 ( 1995 ). Google Scholar Crossref Search ADS WorldCat 1. Kushibiki J. , Takanaga I. , Arakawaand R. and Sannomiya T. , “ Accurate Measurement of the Acoustical Physical Constants of LiNbO3 LiTaO3 Single Crystals ,” IEEE Trans. Ultrason., Ferroelect., Freq. Contr. , 46 ( 5 ), pp. 1315 – 1323 ( 1999 ). Google Scholar Crossref Search ADS WorldCat 1. Kushibiki J. , Ohashi Y. and Ono Y. , “ Evaluation and Selection of LiNbO3 and LiTaO3 Substrates for SAW Devices by the LFB Ultrasonic Material Characterization System ,” IEEE Trans. Ultrason., Ferroelect., Freq. Contr. , 47 , pp. 1068 – 1076 ( 2000 ). Google Scholar Crossref Search ADS WorldCat 1. Degertekin F. L. and Khuri-Yakub B. T. , “ Lamb Wave Excitation by Hertzian Contacts with Applications in NDE ,” IEEE Trans. Ultrason., Ferroelect., Freq. Contr. , 44 ( 4 ), pp. 769 – 779 ( 1997 ). Google Scholar Crossref Search ADS WorldCat 2. Rogers J. A. , Fuchs M. , Banet M. J. , Hanselman J. B. , Logan R. and Nelson K. A. , “ Optical System for Rapid Materials Characterization with the Transient Grating Technique: Application to Nondestructive Evaluation of Thin Films Use in Microelectronics ,” Appl. Phys. Lett. , 71 ( 2 ), pp. 225 – 227 ( 1997 ). Google Scholar Crossref Search ADS WorldCat 2. Auseel J. D. and Monchaline, J.-P., “ Precision Laser Ultrasonic Velocity Measurement and Elastic Constant Determination ,” Ultrasonics , 27 , pp. 165 – 177 ( 1989 ). Google Scholar Crossref Search ADS WorldCat 2. Wisenhardt C. , Jacobs L. J. and Qu J. , “ Application of Laser Ultrasonics to Develop Dispersion Curves for Elastic Plates ,” J. Appl. Mech. , pp. 1043 – 1045 ( 1999 ). OpenURL Placeholder Text WorldCat 2. Auld B. A. , Acoustic Fields and Waves in Solids Krieger Robert E. , ed., Malabar , Florida ( 1990 ). Google Scholar Google Preview OpenURL Placeholder Text WorldCat COPAC 2. Campbell J. J. and Jones W. R. , “ A Method for Estimating Optimal Crystal Cuts and Propagation Directions for Excitation of Piezoelectric SurfaceWaves ,” IEEE Trans. Sonics Ultras. , SU- 15 ( 4 ), pp. 209 – 217 ( 1968 ). Google Scholar Crossref Search ADS WorldCat This content is only available as a PDF. Author notes * Professor ** Graduate Student © The Society of Theoretical and Applied Mechanics, R.O.C. 2003 The Society of Theoretical and Applied Mechanics, R.O.C. © The Society of Theoretical and Applied Mechanics, R.O.C. 2003
TI - Measurement and Modelling for the Dispersion Relations of Acoustic Waves Propagating in a Free Piezoelectric Plate
JF - Journal of Mechanics
DO - 10.1017/s1727719100004342
DA - 2003-06-01
UR - https://www.deepdyve.com/lp/oxford-university-press/measurement-and-modelling-for-the-dispersion-relations-of-acoustic-27V2MucORP
SP - 311
EP - 318
VL - 19
IS - 2
DP - DeepDyve
ER -