Standing waves in an elastic layer loaded with a finite mass |
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Authors: | V G Andreev T B Krit and O A Sapozhnikov |
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Institution: | (1) University of Alaska, Fairbanks, AK, USA |
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Abstract: | Standing shear waves in a plane-parallel rubberlike layer fixed without slippage between two rigid plates with finite masses
are investigated. The lower plate, which underlies the layer, oscillates in the direction parallel to its surface under an
external harmonic force, whereas the upper plate freely overlies the layer. It is shown both theoretically and experimentally
that such a system exhibits resonances at frequencies the values of which depend on the mass of the free plate and the shear
modulus of the layer. The shapes of the resonance curves are calculated and measured for different values of parameters of
the layer and different masses of the upper plate. From the measured resonance curves, it is possible to determine the dynamic
shear modulus and the shear viscosity of the rubberlike material. |
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Keywords: | |
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