Abstract
We will show that the spatial decay rate of free bending waves in multilayered fluid‐loaded plates can be estimated very easily using only a knowledge of the input admittance of the plate as a function of the frequency ω and wavenumber k of the normal stress applied to the plate. If the admittance is written in the form of a magnitude and a phase θ, the spatial decay rate ασ for free waves is given approximately by the expression ασ(ω)≈ − 2⧸∂(ω,k)∂k|θ = 0. The evaluation of the partial derivative of θ is performed with respect to real values of k. The justification for the result is based on arguments by K. Chandiramani and G. B. Witham which identify a proportionality between the Lagrangian energy density and the derivative with respect to frequency of the imaginary part of the surface impedance of the plate.
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