Plane harmonic waves in an infinite piezoelectric plate with dissipation

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 51, Issue 12, 2004, Pages 1629-1638

  Lee, Peter C Y ^a   Liu, Ninghui ^a  

^a Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION CURVES; HARMONIC WAVES; PIEZOELECTRIC PLATES;

ANISOTROPY; CRYSTALLOGRAPHY; CRYSTALS; DAMPING; PIEZOELECTRICITY; WAVE PROPAGATION;

PIEZOELECTRIC DEVICES;

EID: 12344253643     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/TUFFC.2004.1386680     Document Type: Article

References (23)

1. L. Rayleigh, "On the free vibrations of an infinite plate of homogeneous isotropic elastic matter," Proc. London Math. Soc., vol. 20, pp. 225-234, 1889.
2. H. Lamb, "On waves in an elastic plate," Proc. Roy, Soc. London, ser. A, vol. 93, pp. 114-128, 1917.
3. R. D. Mindlin, An Introduction to the Mathematical Theory of Vibrations of Elastic Plates. Fort Monmouth, NJ: U.S. Army Signal Corps Engineering Laboratories, 1955.
4. _, "Waves and vibrations in Isotropic, elastic plates," in Structural Mechanics. New York: Pergamon Press, 1960, pp. 199-232.
5. H. Ekstein, "High frequency vibrations of thin crystal plates," Phys. Rev., vol. 68, pp. 11-23, 1945.
6. E. G. Newman and R. D. Mindlin, "Vibrations of a monoclinic crystal plate," J. Acoust. Soc. Amer., vol. 29, pp. 1206-1218, 1957.
7. R. K. Kaul and R. D. Mindlin, "Frequency spectrum of a monoclinic crystal plate," J. Acoust. Soc. Amer., vol. 34, pp. 1902-1910, 1962.
8. H. F. Tiersten, "Thickness vibrations of piezoelectric plates," J. Acoust. Soc. Amer., vol. 35, pp. 53-58, 1963.
9. T. Yamada and N. Niizeki, "Admittance of piezoelectric plates vibrating under the perpendicular field excitation," Proc, IEEE, vol. 58, pp. 941-942, 1970.
10. H. F. Tiersten, "Wave propagation in an infinite piezoelectric plate," J. Acoust. Soc. Amer., vol. 35, pp. 234-239, 1963.
11. P. C. Y. Lee and S. Syngellakis, "Waves and vibrations in an infinite piezoelectric plate," in Proc. 29th Annu. Symp. Freq. Contr., 1975, pp. 65 -70.
12. S. Syngellakis and P. C. Y. Lee, "Piezoelectric wave dispersion curves for infinite anisotropic plates," J. Appl. Phys., vol. 73, no. 11, pp. 7152-7161, 1993.
13. A. Ballato, J. Kelly, J. Ballato, and A. Safari, "Dissipation in ceramic resonators arid transducers," in Proc. IEEE Int. Freq. Contr. Symp., 1996, pp. 371-378.
14. P. W. Buchen, "Plane waves in linear viscoelastic media," Geophys. J. R. Astron. Soc., vol. 23, pp. 531-542, 1971.
15. K. Tanaka and A. Kon-No, "Harmonic waves in a linear viscoelastic plate," Bull. Jpn. Soc. Mech. Eng., vol. 23, pp. 185-193, 1980.
16. O. P. Chervinko and I. K. Senchenkov, "Harmonic viscoelastic waves in a layer and in an infinite cylinder," Sov. Appl. Mech., vol. 22, pp. 1136-1141, 1987.
17. D. Nkemzi, "The Rayleigh-Lamb dispersion equation for a viscoelastic plate," Mechan. Res. Commun., vol. 20, no. 3, pp. 215-222, 1993.
18. J. Lamb and J. Richter, "Anisotropic acoustic attenuation with new measurements for quartz at room temperatures," Proc. R. Soc., vol. 293A, pp. 479-492, 1966.
19. A. Ballato, "Doubly rotated thickness mode plate vibrators," in Physical Acoustics: Principles and Methods. W. P. Mason and R. N. Thurston, Eds. vol. 13, New York: Academic, 1977, pp. 115-181.
20. P. C. Y. Lee, N. H. Liu, and A. Ballato, "Thickness vibrations of piezoelectric plates with dissipation," in Proc. IEEE Ultrason. Symp., 1999, pp. 869-872.
21. R. Bechmann, "Elastic and piezoelectric constants of alpha-quartz," Phys. Rev., vol. 110, no. 5, pp. 1060-1067, 1958.
22. W. G. Cady, Piezoelectricity: An Introduction to the Theory and Applications of Electromechanical Phenomena in Crystals. New York: Dover, 1964.
23. D. A. Berlincourt, D. R. Curran, and H. Jaffe, "Piezoelectric and piezomagnetic materials and their function in transducers," in Physical Acoustics, vol. I(A), W. P. Mason, Ed. New York: Academic, 1964, p. 204.