On the Equivalence of Dispersion Relations Resulting from Rayleigh-Lamb Frequency Equation and the Operator Plate Model

[+] Author and Article Information
Nikolay A. Losin

10834 N. 32nd Lane, Phoenix, AZ 85029e-mail: nickL67@home.com

J. Vib. Acoust 123(4), 417-420 (Jul 01, 2001) (4 pages) doi:10.1115/1.1287032 History: Received November 01, 1999; Revised July 01, 2001
Copyright © 2001 by ASME
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Achenbach, J. D., 1973, Wave Propagation in Elastic Solids, North-Holland, Amsterdam.
Ewing, W. M., Jardetzky, W. S., and Press, F., 1957, Elastic Waves in Layered Media, McGraw-Hill, New York.
Mindlin, R. D., 1960, “Waves and Vibrations in Isotropic, Elastic Plates,” in: Structural Mechanics, Goodier, J. N., and Hoff, N. J., eds., Pergamon Press, New York, pp. 199–232.
Potter,  D. S., and Leedham,  C. D., 1967, “Normalized Numerical Solution for Rayleigh’s Frequency Equation,” J. Acoust. Soc. Am., 41, No. 1, pp. 148–153.
Losin,  N. A., 1997, “Asymptotics of Flexural Waves in Isotropic Elastic Plates,” ASME J. Appl. Mech., 64, No. 2, pp. 336–342.
Losin,  N. A., 1998, “Asymptotics of Extensional Waves in Isotropic Elastic Plates,” ASME J. Appl. Mech., 65, No. 4, pp. 1042–1047.


Grahic Jump Location
Frequency spectrum of symmetric modes for ν=0.3 and N=14 in (13). Real-valued modes (solid lines) and complex branches (dashed lines).
Grahic Jump Location
Frequency spectrum of antisymmetric modes for ν=0.3 and M=16 in (20).



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