Coupling and attenuation of waves in plates by randomly distributed attached impedances

Journal of the Acoustical Society of America

Volumn 99, Issue 4 I, 1996, Pages 2167-2175

  Turner, Joseph A ^a,b   Weaver, Richard L ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b SAARLAND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC IMPEDANCE; ARTICLE; ATTENUATION; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SHEAR RATE; STRUCTURE ANALYSIS; WAVEFORM;

EID: 0029930422     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.415404     Document Type: Article

References (21)

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13. The other pole of the flexural dispersion equation defines the evanescent flexural wave and is not of interest here. However, this pole would also be shifted slightly due to the presence of impedance heterogeneities.
14. 3,4
15. E. N. Economou, Green's Functions in Quantum Physics (Springer-Verlag, Berlin, 1979).
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17. The second term of Eq. (36) is identically zero if the number of springs is also allowed to be stochastic with a Poisson distribution.
18. eff} are undefined. The effective wave speeds are logarithmically divergent as the correlation range vanishes. This means that these quantities depend on the actual correlation range. Fortunately, however, the attenuations are largely independent of this extra parameter.
19. The change in natural frequency expected for the breathing mode is about 40% and is less than this for the propagating modes.
20. R. L. Weaver, "Diffusivity of ultrasound in polycrystals," J. Mech. Phys. Solids 38, 55-86 (1990).
21. J. A. Turner and R. L. Weaver, "Radiative transfer and multiple scattering of diffuse ultrasound in polycrystalline media," J. Acoust. Soc. Am. 96, 3675-3683 (1994).