Summary
The excitation of Lamb waves with piezoelectric wafers is analytically modeled with help of the Fourier transform method combined with the Residue theorem for the inverse transform. The calculation utilizes a decomposition of the load in a symmetric and an antisymmetric part and leads to the well known Rayleigh-Lamb-frequency equation. A solution for the whole waveguide continuum including the excitation zone is given. It is shown that the solution satisfies not only the underlying partial differential equations but also the given boundary conditions which has not been verified before.
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von Ende, S., Schäfer, I. & Lammering, R. Lamb wave excitation with piezoelectric wafers – an analytical approach. Acta Mechanica 193, 141–150 (2007). https://doi.org/10.1007/s00707-006-0434-4
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DOI: https://doi.org/10.1007/s00707-006-0434-4