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Reflection and transmission of elastic waves by a moving slab

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Abstract

Scattering of elastic waves by a moving slab is considered. Two cases corresponding to strong contact and good lubrication are treated. It is shown that the motion introduces new effective compressional and shear wave velocities in the moving slab. The amplitude of the reflection and transmission coefficients are given for various angles of incidence, frequencies and velocities of motion.

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Abbreviations

A, B :

amplitude coefficients

e, f :

angles of propogation of compressional and shear waves, respectively

k, K :

propagation vectors

P ij , E ij :

stress and strain tensor components, respectively

t :

time

u :

displacement vector

v :

velocity of moving medium

x, y, z :

cartesian coordinates

α, β :

compressional and shear wave speeds, respectively

Γ :

inertial frame of reference

δ ij :

Kronecker's delta

λ, μ :

Lamé's constants

ρ :

density

φ, ψ :

potentials

ω :

angular frequency

p, s:

refer to compressional and shear parameters, respectively

r, t, +, −:

refer to waves: reflected, transmitted, forward inside the slab, backward inside the slab, respectively

References

  1. Morse, P. M. and K. Uno Ingard, Theoretical Acoustics, McGraw-Hill, New York 1968, ch. 11.

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  3. Miles, J. W., The Journal of the Acoustical Society of America 29 (1957) 226.

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  5. Yeh, C., The Journal of the Acoustical Society of America 41 (1967) 817, see also 43 (1963) 1454.

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  6. Yeh, C., The Journal of the Acoustical Society of America 44 (1968) 1216.

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Authors and Affiliations

  1. Department of Environmental Sciences, Tel-Aviv University, Ramat Aviv, Israel

    D. Censor

  2. Department of Engineering Sciences, Tel-Aviv University, Ramat Aviv, Israel

    J. Aboudi & D. Neulander

Authors
  1. D. Censor
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  2. J. Aboudi
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  3. D. Neulander
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Censor, D., Aboudi, J. & Neulander, D. Reflection and transmission of elastic waves by a moving slab. Appl. Sci. Res. 25, 313–327 (1972). https://doi.org/10.1007/BF00382304

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  • DOI: https://doi.org/10.1007/BF00382304

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